The Ts Fuzzy Delay Systems, Delay-dependent Stability Study

With the development of technology and industrial production,the project system often has highly nonlinear,uncertain and time-delay characteristics simultaneously.This makes the analysis and synthesis of the system become more complex and difficult.So it is difficult to design and achieve the effective control.Based on this question,the thesis studies nonlinear system with time delay and uncertainties.Using T-S fuzzy time-delay model which is applied extensively in nonlinear system,the problem of stability analysis and robust control is addressed for this class of systems by combining Lyapunov stability theories,LMI approach and the free-weighting matrix technique.The main content contains three parts as follows:First,based on T-S fuzzy model,the stability,guaranteed cost control and H_∞control are studied for the uncertain nonlinear system with constant time delay.This part gives the sufficient condition of stability and the design of the state feedback controller.Then,considering that the time delay is varying,this part studies and proposes the stability condition and the guaranteed cost controller design scheme.Last,considering that the systems which are studied in the two parts above only have the state time delay,the studied way above is applied for some nonlinear systems with state and input delay in this part.The stability analysis and synthesis is discussed for this class of system.The cost function in this thesis is more general due to considering the time-delay term x(t-τ). And the time delay studied here is interval and more general than before.Simulation examples are used to show the effectiveness of the method proposed in this thesis.