Robust H∞ Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control

• 作者: Bishan Zhang Meixiang Yang Zhongjun Ma
• 来源期刊: 自动化学报
• 年，卷（期）: 2017,（9）
• 所属期刊栏目: 论文与报告
• 页码范围: 1656-1664
• 页数: 9页
• 语种: 中文
• DOI: 10.16383/j.aas.2017.e150082

摘要

In this paper,the robust H∞-control problem is reported for a class of uncertain discrete-time fuzzy systems with both multiple probabilistic delays and multiple missing measurements and random missing control from the fuzzy controllers to the actuator.A sequence of random variables including accounting for the probabilistic communication delays and the random missing control are thought as mutually independent and obey the Bernoulli distribution.The measurement-missing phenomenon can be assumed to occur stochastically.Assumption that the missing probability for each sensor satisfies a certain probabilistic distribution in the interval [0 1] is given.Much attention is focused on design of H∞ the fuzzy output feedback controllers to ensure that the resulting close-loop Takagi-Sugeno (T-S) system is exponentially stable in the mean square.The developed method makes disturbance rejection attenuation satisfy a given level by means of the H∞-performance index.Intensive analysis is employed to reach the sufficient conditions about the existence of admissible output feedback controllers which satisfies the exponential stability as well as the prescribed H∞ performance.In addition,the cone-complementarity linearization procedure is utilized to transform the controller-design problem into a sequential minimization one which can be solved by the semi-definite program method.Simulation results conform the feasibility as weil as the effectiveness of the proposed design method.