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

摘要：

The problem of robustH∞ 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.

关键词： Delay-distribution-dependent robust control stochastic delay H∞ control cone complementarity

作者: Yijun Zhang Haimei Wang Zhenping Zeng

作者单位: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, P.R. China.

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 5663-5668

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）