Design of State-Feedback Controllers for Discrete-Time Delayed Systems Using the Principle of Duality

摘要

A technique for the synthesis of state-feedback gains, capable of stabilizing discrete-time systems affected by time-varying uncertain delays, is proposed in this paper. The technique extends another synthesis condition presented in the literature, which is based on the application of a Lyapunov-Krasovskii function to generate a set of linear matrix inequalities (LMIs) and equality constraints. The method proposed in this paper is based on the dual representation of the delayed system, resulting in a LMI condition free of the equality constraints, thus reducing the complexity of the technique. A simulation example illustrates the validity of the proposed method.