Title of Paper:Gain Scheduled State Feedback Control for Discrete-Time-Varying Polytopic Systems Subject to Input Saturation

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Date of Publication:2011-12-01

Journal:CIRCUITS SYSTEMS AND SIGNAL PROCESSING

Included Journals:Scopus、SCIE、EI

Volume:30

Issue:6

Page Number:1165-1182

ISSN No.:0278-081X

Key Words:Polytopic systems; Homogeneous polynomially parameter-dependent matrix function; Time-varying parameters; Input saturation

Abstract:In this paper, we study the stability and performance optimization problem of discrete-time-varying polytopic systems with actuator saturation. First, the homogeneous polynomially parameter-dependent matrix function (HPP-DMF for abbreviation) is proposed. Then, a set invariance condition is obtained by applying the HPP-DMF to the Lyapunov function and gain scheduled control law. Based on the set invariance condition, an algorithm is proposed to minimize the worst-case performance. The conditions in the algorithm are expressed in terms of linear matrix inequalities (LMIs). In addition, it is shown that as the degree of the HPP-DMF increases the conditions become less conservative. A numerical example is presented to demonstrate the effectiveness and superiority of the proposed technique.