Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate
This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown grow...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Li, Fengzhong [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Schlagwörter: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime - 2011transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:77 ; year:2015 ; pages:69-79 ; extent:11 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.sysconle.2015.01.009 |
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ELV039625567 |
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| 520 | |a This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. | ||
| 520 | |a This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. | ||
| 650 | 7 | |a Stabilization |2 Elsevier | |
| 650 | 7 | |a Output-feedback |2 Elsevier | |
| 650 | 7 | |a K-filters |2 Elsevier | |
| 650 | 7 | |a Time-varying technique |2 Elsevier | |
| 650 | 7 | |a Stochastic nonlinear systems |2 Elsevier | |
| 700 | 1 | |a Liu, Yungang |4 oth | |
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10.1016/j.sysconle.2015.01.009 doi GBVA2015004000022.pica (DE-627)ELV039625567 (ELSEVIER)S0167-6911(15)00010-9 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Li, Fengzhong verfasserin aut Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate 2015transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. Stabilization Elsevier Output-feedback Elsevier K-filters Elsevier Time-varying technique Elsevier Stochastic nonlinear systems Elsevier Liu, Yungang oth Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:77 year:2015 pages:69-79 extent:11 https://doi.org/10.1016/j.sysconle.2015.01.009 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 77 2015 69-79 11 045F 620 |
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10.1016/j.sysconle.2015.01.009 doi GBVA2015004000022.pica (DE-627)ELV039625567 (ELSEVIER)S0167-6911(15)00010-9 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Li, Fengzhong verfasserin aut Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate 2015transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. Stabilization Elsevier Output-feedback Elsevier K-filters Elsevier Time-varying technique Elsevier Stochastic nonlinear systems Elsevier Liu, Yungang oth Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:77 year:2015 pages:69-79 extent:11 https://doi.org/10.1016/j.sysconle.2015.01.009 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 77 2015 69-79 11 045F 620 |
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10.1016/j.sysconle.2015.01.009 doi GBVA2015004000022.pica (DE-627)ELV039625567 (ELSEVIER)S0167-6911(15)00010-9 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Li, Fengzhong verfasserin aut Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate 2015transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. Stabilization Elsevier Output-feedback Elsevier K-filters Elsevier Time-varying technique Elsevier Stochastic nonlinear systems Elsevier Liu, Yungang oth Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:77 year:2015 pages:69-79 extent:11 https://doi.org/10.1016/j.sysconle.2015.01.009 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 77 2015 69-79 11 045F 620 |
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10.1016/j.sysconle.2015.01.009 doi GBVA2015004000022.pica (DE-627)ELV039625567 (ELSEVIER)S0167-6911(15)00010-9 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Li, Fengzhong verfasserin aut Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate 2015transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. Stabilization Elsevier Output-feedback Elsevier K-filters Elsevier Time-varying technique Elsevier Stochastic nonlinear systems Elsevier Liu, Yungang oth Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:77 year:2015 pages:69-79 extent:11 https://doi.org/10.1016/j.sysconle.2015.01.009 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 77 2015 69-79 11 045F 620 |
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10.1016/j.sysconle.2015.01.009 doi GBVA2015004000022.pica (DE-627)ELV039625567 (ELSEVIER)S0167-6911(15)00010-9 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Li, Fengzhong verfasserin aut Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate 2015transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. Stabilization Elsevier Output-feedback Elsevier K-filters Elsevier Time-varying technique Elsevier Stochastic nonlinear systems Elsevier Liu, Yungang oth Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:77 year:2015 pages:69-79 extent:11 https://doi.org/10.1016/j.sysconle.2015.01.009 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 77 2015 69-79 11 045F 620 |
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Enthalten in Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime Amsterdam [u.a.] volume:77 year:2015 pages:69-79 extent:11 |
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Enthalten in Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime Amsterdam [u.a.] volume:77 year:2015 pages:69-79 extent:11 |
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Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime |
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Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. 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global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate |
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Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate |
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This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. |
| abstractGer |
This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. |
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This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. |
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