Delay-distribution-dependent robust H∞control for discrete-time systems with stochastic delays

Authors:
Yijun Zhang;Haimei Wang;Zhenping Zeng
Affiliations:
School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China;School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China;School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

The problem of robust H∞ control design for a class of discrete-time linear systems with stochastic delays and parameter uncertainties is studied. Firstly, a new modeling method is presented. By utilizing a stochastic variable which satisfies Bernoulli random binary distribution, the probability distributions of time delays are translated into parameter matrices of the transferred model. Based on the established model, an appropriate Lyapunov-Krasovskii functional is developed to investigate the problem of robust mean-square stability and H∞ control design. The effectiveness and applicability of the proposed method are demonstrated by two numerical examples.