Have A Memory Control Uncertain Discrete Fuzzy Systems With Time Delay

With the continuous development of science and technology, the computer systems have been widely used in industrial production control. As the computer systems belong to discrete-time systems, and have uncertainties and time-delays, in recent years, discrete-time systems with uncertainties and time-delays have become the focus of the scholars.On the basis of Lyapunov stability theory, we use linear matrix inequalities and free-weighting matrix method to study the stability of a class of discrete-time fuzzy systems with uncertainties and time-delays, and design the memory state feedback controllers for them. The article first gives sufficient condition which makes the discrete-time fuzzy systems with uncertainties and time-delays astropically stable, and on this basis, we study the H∞control problem and guaranteed cost control problem about them, finally in order to verify the theoretical results, we solve the examples by using LMI toolbox.