Stabilization and H∞ Control of Nonlinear Switched Hamiltonian Systems Subject to Actuator Saturation

This paper investigates the stabilization and H∞ control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS) under arbitrary switching paths. First, based on the saturating actuator property, an appropriate state feedback is designed under a realistic assump...

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Published inAsian journal of control Vol. 19; no. 3; pp. 951 - 960
Main Authors Li, Han, Wei, Airong
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.05.2017
Subjects
Actuator saturation
Control systems
Disturbances
Hamiltonian functions
H∞ control
Nonlinear control
Nonlinear systems
Saturation
Stabilization
State feedback
switched Hamiltonian systems
switched nonlinear systems
Switching
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Abstract This paper investigates the stabilization and H∞ control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS) under arbitrary switching paths. First, based on the saturating actuator property, an appropriate state feedback is designed under a realistic assumption for the stabilization of NSHSs with AS. Then, an H∞ controller is designed for NSHSs subject to AS with external disturbances in order to attenuate the disturbances. Futhermore, the results obtained for NSHSs are applied to study the stabilization and H∞ control of switched nonlinear systems with AS via the Hamiltonian realization method. Finally, simulation examples show the efficiency of the methods and results proposed in this paper.
AbstractList This paper investigates the stabilization and H ∞ control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS) under arbitrary switching paths. First, based on the saturating actuator property, an appropriate state feedback is designed under a realistic assumption for the stabilization of NSHSs with AS. Then, an  H ∞ controller is designed for NSHSs subject to AS with external disturbances in order to attenuate the disturbances. Futhermore, the results obtained for NSHSs are applied to study the stabilization and  H ∞ control of switched nonlinear systems with AS via the Hamiltonian realization method. Finally, simulation examples show the efficiency of the methods and results proposed in this paper.
This paper investigates the stabilization and H∞ control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS) under arbitrary switching paths. First, based on the saturating actuator property, an appropriate state feedback is designed under a realistic assumption for the stabilization of NSHSs with AS. Then, an H∞ controller is designed for NSHSs subject to AS with external disturbances in order to attenuate the disturbances. Futhermore, the results obtained for NSHSs are applied to study the stabilization and H∞ control of switched nonlinear systems with AS via the Hamiltonian realization method. Finally, simulation examples show the efficiency of the methods and results proposed in this paper.
This paper investigates the stabilization and H[infin] control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS) under arbitrary switching paths. First, based on the saturating actuator property, an appropriate state feedback is designed under a realistic assumption for the stabilization of NSHSs with AS. Then, an H[infin] controller is designed for NSHSs subject to AS with external disturbances in order to attenuate the disturbances. Futhermore, the results obtained for NSHSs are applied to study the stabilization and H[infin] control of switched nonlinear systems with AS via the Hamiltonian realization method. Finally, simulation examples show the efficiency of the methods and results proposed in this paper.
Author Li, Han
Wei, Airong
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  email: weiairong@sdu.edu.cn
  organization: Shandong University
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Snippet This paper investigates the stabilization and H∞ control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS) under...
This paper investigates the stabilization and H ∞ control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS) under...
This paper investigates the stabilization and H[infin] control problem of nonlinear switched Hamiltonian systems (NSHSs) subject to actuator saturation (AS)...
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SubjectTerms Actuator saturation
Control systems
Disturbances
Hamiltonian functions
H∞ control
Nonlinear control
Nonlinear systems
Saturation
Stabilization
State feedback
switched Hamiltonian systems
switched nonlinear systems
Switching
Title Stabilization and H∞ Control of Nonlinear Switched Hamiltonian Systems Subject to Actuator Saturation
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