Robust H∞ control of uncertain nonlinear switched systems using constructive method
Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on th...
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Gespeichert in:
| Autor*in: |
Niu, Ben [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Anmerkung: |
© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 |
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| Übergeordnetes Werk: |
Enthalten in: International Journal of Control, Automation and Systems - Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009, 10(2012), 3 vom: Juni, Seite 481-489 |
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| Übergeordnetes Werk: |
volume:10 ; year:2012 ; number:3 ; month:06 ; pages:481-489 |
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10.1007/s12555-012-0304-x |
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| 520 | |a Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. | ||
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10.1007/s12555-012-0304-x doi (DE-627)SPR026348403 (SPR)s12555-012-0304-x-e DE-627 ger DE-627 rakwb eng Niu, Ben verfasserin aut Robust H∞ control of uncertain nonlinear switched systems using constructive method 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. Constructive method (dpeaa)DE-He213 multiple Lyapunov functions (dpeaa)DE-He213 robust (dpeaa)DE-He213 control (dpeaa)DE-He213 switched nonlinear systems (dpeaa)DE-He213 Zhao, Jun aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 10(2012), 3 vom: Juni, Seite 481-489 (DE-627)SPR026303256 nnns volume:10 year:2012 number:3 month:06 pages:481-489 https://dx.doi.org/10.1007/s12555-012-0304-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 10 2012 3 06 481-489 |
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10.1007/s12555-012-0304-x doi (DE-627)SPR026348403 (SPR)s12555-012-0304-x-e DE-627 ger DE-627 rakwb eng Niu, Ben verfasserin aut Robust H∞ control of uncertain nonlinear switched systems using constructive method 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. Constructive method (dpeaa)DE-He213 multiple Lyapunov functions (dpeaa)DE-He213 robust (dpeaa)DE-He213 control (dpeaa)DE-He213 switched nonlinear systems (dpeaa)DE-He213 Zhao, Jun aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 10(2012), 3 vom: Juni, Seite 481-489 (DE-627)SPR026303256 nnns volume:10 year:2012 number:3 month:06 pages:481-489 https://dx.doi.org/10.1007/s12555-012-0304-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 10 2012 3 06 481-489 |
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10.1007/s12555-012-0304-x doi (DE-627)SPR026348403 (SPR)s12555-012-0304-x-e DE-627 ger DE-627 rakwb eng Niu, Ben verfasserin aut Robust H∞ control of uncertain nonlinear switched systems using constructive method 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. Constructive method (dpeaa)DE-He213 multiple Lyapunov functions (dpeaa)DE-He213 robust (dpeaa)DE-He213 control (dpeaa)DE-He213 switched nonlinear systems (dpeaa)DE-He213 Zhao, Jun aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 10(2012), 3 vom: Juni, Seite 481-489 (DE-627)SPR026303256 nnns volume:10 year:2012 number:3 month:06 pages:481-489 https://dx.doi.org/10.1007/s12555-012-0304-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 10 2012 3 06 481-489 |
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10.1007/s12555-012-0304-x doi (DE-627)SPR026348403 (SPR)s12555-012-0304-x-e DE-627 ger DE-627 rakwb eng Niu, Ben verfasserin aut Robust H∞ control of uncertain nonlinear switched systems using constructive method 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. Constructive method (dpeaa)DE-He213 multiple Lyapunov functions (dpeaa)DE-He213 robust (dpeaa)DE-He213 control (dpeaa)DE-He213 switched nonlinear systems (dpeaa)DE-He213 Zhao, Jun aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 10(2012), 3 vom: Juni, Seite 481-489 (DE-627)SPR026303256 nnns volume:10 year:2012 number:3 month:06 pages:481-489 https://dx.doi.org/10.1007/s12555-012-0304-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 10 2012 3 06 481-489 |
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10.1007/s12555-012-0304-x doi (DE-627)SPR026348403 (SPR)s12555-012-0304-x-e DE-627 ger DE-627 rakwb eng Niu, Ben verfasserin aut Robust H∞ control of uncertain nonlinear switched systems using constructive method 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. Constructive method (dpeaa)DE-He213 multiple Lyapunov functions (dpeaa)DE-He213 robust (dpeaa)DE-He213 control (dpeaa)DE-He213 switched nonlinear systems (dpeaa)DE-He213 Zhao, Jun aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 10(2012), 3 vom: Juni, Seite 481-489 (DE-627)SPR026303256 nnns volume:10 year:2012 number:3 month:06 pages:481-489 https://dx.doi.org/10.1007/s12555-012-0304-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 10 2012 3 06 481-489 |
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Robust H∞ control of uncertain nonlinear switched systems using constructive method |
| abstract |
Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 |
| abstractGer |
Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 |
| abstract_unstemmed |
Abstract This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2012 |
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Robust H∞ control of uncertain nonlinear switched systems using constructive method |
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