Stability analysis and antiwindup design of uncertain discrete-time switched linear systems subject to actuator saturation

This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output cont...

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Published inJournal of control theory and applications Vol. 10; no. 3; pp. 325 - 331
Main Authors Zhang, Xinquan, Wang, Mingshun, Zhao, Jun
Format Journal Article
LanguageEnglish
Published Heidelberg South China University of Technology and Academy of Mathematics and Systems Science, CAS 01.08.2012
Subjects
Actuators
Compensation
Complexity
Computational Intelligence
Control
Control and Systems Theory
Design engineering
Dynamical systems
Dynamics
Engineering
Linear systems
Lyapunov函数方法
Mechatronics
Optimization
Regular Papers
Robotics
Saturation
Stability analysis
Systems Theory
离散时间
稳定性
线性切换系统
线性矩阵不等式
范数有界不确定性
设计问题
饱和执行器
Switched systems
LMI
Antiwindup
Saturating actuators
Attraction domain
Switched Lyapunov function
Online AccessGet full text
ISSN1672-6340
1993-0623
DOI10.1007/s11768-012-1053-3

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Abstract This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.
AbstractList This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.
This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality (LMI) constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.
Author Xinquan ZHANG Mingshun WANG Jun ZHAO
AuthorAffiliation State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang Liaoning 110819, China
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  fullname: Wang, Mingshun
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  surname: Zhao
  fullname: Zhao, Jun
  organization: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University
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Cites_doi 10.1049/ip-cta:20040010
10.1016/S0167-6911(03)00208-1
10.1109/37.793443
10.1109/TAC.2008.2007528
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Issue 3
Keywords Switched systems
LMI
Antiwindup
Saturating actuators
Attraction domain
Switched Lyapunov function
Language English
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Notes 44-1600/TP
Antiwindup; Switched systems; Saturating actuators; Switched Lyapunov function; Attraction domain;LMI
This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.
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  start-page: 475
  issue: 4
  year: 1998
  ident: 1053_CR8
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/9.664150
SSID ssj0054478
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Snippet This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying...
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SubjectTerms Actuators
Compensation
Complexity
Computational Intelligence
Control
Control and Systems Theory
Design engineering
Dynamical systems
Dynamics
Engineering
Linear systems
Lyapunov函数方法
Mechatronics
Optimization
Regular Papers
Robotics
Saturation
Stability analysis
Systems Theory
离散时间
稳定性
线性切换系统
线性矩阵不等式
范数有界不确定性
设计问题
饱和执行器
Title Stability analysis and antiwindup design of uncertain discrete-time switched linear systems subject to actuator saturation
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