Output feedback H∞ control for discrete singularly perturbed systems
Based on the stability theory and the linear matrix inequality method,the memory output feedback y-suboptimal controller for uncertain time-varying delay discrete singularly perturbed control systems with control input and disturbance input is designed,and the decision theorem are deduced with linear matrix inequalities by constructing a new L-K functional and a new cross-term definition method that depend on singularly perturbation parameters.Comparing relevant literature,the feasibility and superiority of the derived methods are given.
time delay dependencetime delay independenceLyapunov-Krasovskii functionalcross-term definition methodH performance index