Robust fuzzy control of nonlinear stochastic delay systems with impulsive effects

• Published in: International journal of systems science Vol. 41; no. 10; pp. 1163 - 1172
• Main Authors: Yu, Jianjiang, Zhang, Kanjian, Fei, Shumin, Jiang, Haibo
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.10.2010; Taylor & Francis
• Subjects: Applied sciences; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control theory. Systems; Delay; Exact sciences and technology; Fuzzy control; impulsive control; mean square exponential stability; nonlinear stochastic systems; Nonlinearity; Stochasticity; T-S fuzzy model; State feedback; nonlinear stochastic systems; T-S fuzzy model; Non linear control; Delay system; Impulse control; Exponential stability; Non linear system; Modeling; Closed feedback; Robust control; Fuzzy logic; Fuzzy control; Time varying system; Uncertain system; mean square exponential stability; Linear matrix inequality; Stochastic control; Delay effect; Non deterministic system; impulsive control
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207720903144487

The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive stochastic systems with time-varying delays is investigated. The nonlinear delay system is represented by the well-known T-S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for mean square exponential stability of the closed-loop system are derived in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the applicability of the theoretical results.