Causal Gain-scheduled output feedback controllers using parameter-dependent Lyapunov Functions
This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Func...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Sato, Masayuki [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Epithelial morphogenesis in organoids - Lee, Byung Ho ELSEVIER, 2021, a journal of IFAC, the International Federation of Automatic Control, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:129 ; year:2021 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.automatica.2021.109569 |
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ELV054087457 |
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| 520 | |a This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. | ||
| 520 | |a This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. | ||
| 650 | 7 | |a Elimination lemma |2 Elsevier | |
| 650 | 7 | |a Gain-scheduled output feedback controller |2 Elsevier | |
| 650 | 7 | |a LPV systems |2 Elsevier | |
| 650 | 7 | |a Causality |2 Elsevier | |
| 650 | 7 | |a S-variable approach |2 Elsevier | |
| 700 | 1 | |a Peaucelle, Dimitri |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier, Pergamon Press |a Lee, Byung Ho ELSEVIER |t Epithelial morphogenesis in organoids |d 2021 |d a journal of IFAC, the International Federation of Automatic Control |g Amsterdam [u.a.] |w (DE-627)ELV007443196 |
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10.1016/j.automatica.2021.109569 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001627.pica (DE-627)ELV054087457 (ELSEVIER)S0005-1098(21)00089-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Sato, Masayuki verfasserin aut Causal Gain-scheduled output feedback controllers using parameter-dependent Lyapunov Functions 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. Elimination lemma Elsevier Gain-scheduled output feedback controller Elsevier LPV systems Elsevier Causality Elsevier S-variable approach Elsevier Peaucelle, Dimitri oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:129 year:2021 pages:0 https://doi.org/10.1016/j.automatica.2021.109569 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 129 2021 0 |
| spelling |
10.1016/j.automatica.2021.109569 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001627.pica (DE-627)ELV054087457 (ELSEVIER)S0005-1098(21)00089-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Sato, Masayuki verfasserin aut Causal Gain-scheduled output feedback controllers using parameter-dependent Lyapunov Functions 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. Elimination lemma Elsevier Gain-scheduled output feedback controller Elsevier LPV systems Elsevier Causality Elsevier S-variable approach Elsevier Peaucelle, Dimitri oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:129 year:2021 pages:0 https://doi.org/10.1016/j.automatica.2021.109569 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 129 2021 0 |
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10.1016/j.automatica.2021.109569 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001627.pica (DE-627)ELV054087457 (ELSEVIER)S0005-1098(21)00089-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Sato, Masayuki verfasserin aut Causal Gain-scheduled output feedback controllers using parameter-dependent Lyapunov Functions 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. Elimination lemma Elsevier Gain-scheduled output feedback controller Elsevier LPV systems Elsevier Causality Elsevier S-variable approach Elsevier Peaucelle, Dimitri oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:129 year:2021 pages:0 https://doi.org/10.1016/j.automatica.2021.109569 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 129 2021 0 |
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10.1016/j.automatica.2021.109569 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001627.pica (DE-627)ELV054087457 (ELSEVIER)S0005-1098(21)00089-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Sato, Masayuki verfasserin aut Causal Gain-scheduled output feedback controllers using parameter-dependent Lyapunov Functions 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. Elimination lemma Elsevier Gain-scheduled output feedback controller Elsevier LPV systems Elsevier Causality Elsevier S-variable approach Elsevier Peaucelle, Dimitri oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:129 year:2021 pages:0 https://doi.org/10.1016/j.automatica.2021.109569 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 129 2021 0 |
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10.1016/j.automatica.2021.109569 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001627.pica (DE-627)ELV054087457 (ELSEVIER)S0005-1098(21)00089-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Sato, Masayuki verfasserin aut Causal Gain-scheduled output feedback controllers using parameter-dependent Lyapunov Functions 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. Elimination lemma Elsevier Gain-scheduled output feedback controller Elsevier LPV systems Elsevier Causality Elsevier S-variable approach Elsevier Peaucelle, Dimitri oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:129 year:2021 pages:0 https://doi.org/10.1016/j.automatica.2021.109569 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 129 2021 0 |
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Causal Gain-scheduled output feedback controllers using parameter-dependent Lyapunov Functions |
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This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. |
| abstractGer |
This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. |
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This paper addresses the design problem of Gain-Scheduled Output Feedback (GSOF) controllers, in which causality with respect to (w.r.t) scheduling parameters in the GSOF controllers is kept, for continuous-/discrete-time Linear Parameter-Varying (LPV) systems using Parameter-Dependent Lyapunov Functions (PDLFs). In general, continuous-time GSOF controllers designed by conventional methods, i.e. so-called change-of-variables using PDLFs, depend on the derivatives of scheduling parameters, and discrete-time GSOF controllers designed by conventional methods or extended Linear Matrix Inequality (LMI) technique using parameter-dependent auxiliary matrices both depend on the one-step-ahead scheduling parameters. These mean that the designed GSOF controllers are not implementable to practical systems due to the non-causality w.r.t. scheduling parameters. On this issue, we propose a formulation which circumvents the causality problem by replacing the term that introduces the causality issue with another term via the reverse use of the Elimination lemma which is also known as “S-variable” approach. A toy example and a practical example (lateral-directional motion control around wing level flight of JAXA’s research airplane MuPAL- α ) are included to demonstrate the effectiveness compared to the existing methods. |
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