A Design Method of Discrete-Time Quadratically Stabilizing State Feedback Controllers with Time-Varying Parameters

Abstract

This paper proposes a design method of a quadratically stabilizing state feedback controller with a time-varying gain for a class of discrete-time uncertain systems. Our aim is to improve the closed-loop performance by using the time-varying gain as a tuning parameter. It is required to achieve the ideal responses that we solve an optimization problem and estimate the plant parameter within one sample time. Since the implementation is considered to be almost impossible, a restricted method is introduced which does not always yield the optimal solution. However, the method shows acceptable results in the numerical simulations.