Robust control of delay-dependent T-S fuzzy system based on method of descriptor model transformation
H(infinity) robust control and stability are addressed for a class of uncertain fuzzy systems with time-delays in both states and control inputs. Using a Lyapunov-Krasovskii functional in descriptor model transformation, we have presented the delay-dependent sufficient conditions of stability to ensure asymptotic stability of the system. To be less conservative in results, we employ an algorithm involving convex optimization in designing the state-feedback controller. The example shows the validity of our results.
delay-dependent t-s fuzzy system descriptor model transformation h(infinity) robust control lyapunov-krasovskii functional cone complementary linearization algorithm