Robust Control For A Class Of Uncertain T-S Fuzzy Systems Based On State Feedback

In the complex nonlinear system, because there is unknown disturbance input in the system, describing the system is very difficult by using precise mathematical model. By using the unique approach to describe the Fuzzy control, opening a new research idea to solve these given problems. T-S fuzzy system model can approximate nonlinear systems with arbitrary precision, this advantage of T-S model has attract many scholars attention. Due to the advantages of T-S model, so the T-S fuzzy system research has become a new focus in the control group, many scholars began to study the T-S fuzzy systems.The T-S fuzzy system is mainly studied topic in this paper, while the uncertainty of the system is taken into account at the same time,. Under a new method for the controller design, The sufficient condition of the stability for discrete T-S fuzzy system with uncertainty; for the contained certain and contained uncertain T-S fuzzy continuous system, the regional pole assignment non-fragile problem, the regional pole assignment non-fragile guaranteed cost control problem and the regional pole assignment non-fragile H∞ control problem are studied.The main work includes the following aspects:First, a class of discrete T-S fuzzy systems with parameter uncertainty, based on a new design method of system controller. The sufficient condition for the stability of the system is given and controller of contained uncertain T-S fuzzy discrete system is proposed. Through simulation, verification of the method is feasible.Secondly, for a class of continuous T-S fuzzy system with the contained certain and contained uncertain, under disk pole constraints, study the controller design problem of non-fragile. Using linear matrix inequality, the second round field non-fragile controller of T-S fuzzy system is given in the contained certain and contained uncertain case. Through simulation, the feasibility of the method is verified.Then, for a class of T-S fuzzy continuous system, under disk pole constraints, study guaranteed cost controller design problem of non-fragile. Using linear matrix inequality, the second round field non-fragile guaranteed cost controller of T-S fuzzy system is given in the contained certain and contained uncertain case. Through simulation, the feasibility of the method is verified.At last, for a class of T-S fuzzy continuous system, under disk pole constraints, study H∞controller design problem of non-fragile. Using linear matrix inequality, the second round field non-fragile H∞ controller of T-S fuzzy system is given in the contained certain and contained uncertain case. Through simulation, the feasibility of the method is verified.