Technical communique: Reliable H∞ control for discrete-time piecewise linear systems with infinite distributed delays

Authors:
Zidong Wang;Guoliang Wei;Gang Feng
Affiliations:
Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK and School of Information Science and Technology, Donghua University, Shanghai 200051, China;School of Information Science and Technology, Donghua University, Shanghai 200051, China;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

In this paper, the reliable H"~ control problem is investigated for discrete-time piecewise linear systems with time delays and actuator failures. The time delays are assumed to be infinitely distributed in the discrete-time domain, and the possible failure of each actuator is described by a variable varying in a given interval. The aim of the addressed reliable H"~ control problem is to design a controller such that, for the admissible infinite distributed delays and possible actuator failures, the closed-loop system is exponentially stable with a given disturbance attenuation level @c. The controller gain is characterized in terms of the solution to a linear matrix inequality that can be easily solved by using standard software packages. A simulation example is exploited in order to illustrate the effectiveness of the proposed design procedures.