IEEE Transactions on Automatic Control, Vol.39, No.5, 1036-1042, 1994
Sampled-Data Controller-Design for Uncertain Systems
This note presents a sampled-data controller design methodology for uncertain systems. A continuous system with bounded time-varying uncertainty is sampled at intervals of length T. The controller is designed using a Riccati equation approach by neglecting O(T2) uncertainty terms in the discretized system. Stability is verified for this choice of T with the O(T2) terms included. If there exists a stabilizing continuous controller, then there also exists a stabilizing sampled-data controller for a sufficiently small choice of T.