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L-2-gain analysis and control synthesis of uncertain switched linear systems subject to actuator saturation

Date

2012

Authors

Zhang, Xinquan
Zhao, Jun
Dimirovski, Georgi

Journal Title

Journal ISSN

Volume Title

Publisher

Taylor & Francis Group

Abstract

This article addresses the L2-gain analysis and control synthesis problem for a class of uncertain switched linear systems with saturating actuators and external disturbances. First, when the controllers are pre-given, an analysis condition on disturbance tolerance is established under which the state trajectory starting from the origin will remain inside a bounded set. By this condition, the problem of estimating disturbance tolerance capability is formulated as a constrained optimisation problem. Then, the restricted L2-gain property is analysed over the set of tolerable disturbances. An upper bound on the restricted L2-gain is estimated by solving a constrained optimisation problem. Furthermore, when controller gain matrices are design variables, these optimisation problems can be adapted for controller design. All the results are achieved by utilising the multiple Lyapunov functions method and presented in terms of an LMI optimisation-based approach. A numerical example is given to show the effectiveness of the proposed method.

Description

Keywords

Keywords: Disturbance tolerance; L 2 -gain; LMI; Multiple Lyapunov function; Saturating actuator; Switched system; Linear matrix inequalities; Lyapunov functions; Optimization; Switching systems; Controllers disturbance tolerance; L 2-gain; LMI; multiple Lyapunov functions; saturating actuators; switched systems

Citation

Source

International Journal of Systems Science

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1080/00207721.2010.521597

Restricted until

2037-12-31