Robust SMC for Uncertain Descriptor Time-Delay Systems: A Linear Switching Surface Approach

This paper studies robust H-infinity control issue for uncertain descriptor time-delay systems via sliding mode technique. Some important conditions for the existence of designed linear-type switching surface and robust performance of the underlying sliding motion are derived via linear matrix inequality approach, from which the corresponding adaptive variable structure controller is synthesized. And the result is extended to the case with multiple time-delays. The potential of the developed method is proved by an example.