About Fuzzy System Robust H_∞Control Study

With the high development of science and technology, the application scope of thecontrol system expands constantly. Because system and environment filled withuncertainty and the requirement for the control is getting higher and higher, the peopleface a greater challenge. Fuzzy (Fuzzy) system is complex system existing widely in thereal world. How to use robust control and Fuzzy control theory to study the optimizationof system control is currently the focus of concern.This paper conducts the following research about robust H_∞control of the Fuzzysystem:1) Discussed the stability of the Fuzzy system in a delay-dependent Lyapunov system.I got the stability criteria of the Fuzzy system using the method of delay liberty matrix.Finally, the feasibility and effectiveness of it were proved by two examples.2) Discussed robust H_∞control problems of the Fuzzy system and established therelationship of the stability between the Fuzzy system H_∞attenuation under disturbancesquadratic stability and no uncertainties in the attenuation under disturbances stability,based on these, designed the quadratic stability for the output feedback controller andFuzzy system H_∞attenuation under disturbances of quadratic stability for the controller.Finally, the feasibility and effectiveness of it were proved by two examples.3) Discussed robust H_∞control problem under the uncertain sampling fuzzy system.Using sampling control input as delay control looks for a sampling of the state feedbackcontrollers to make the system stable and meet H_∞performance index. Putting forward thedesigning method for the uncertain fuzzy sampling system of a kind of robust H_∞statefeedback controller. Finally, the feasibility and effectiveness of it were proved by twoexamples.