A design method o adaptive compensation inputs for class of uncertain linear systems via piecewise Lyapunov functions

Abstract

This paper discusses a design problem of a robust control system with an adaptive compensation input for a class of uncertain linear systems via piecewise Lyapunov functions. The uncertainties under consideration satisfy the matching condition and the proposed control law consists of a state feedback with a fixed gain controller and an adaptive compensation input. In this paper, we present a design method of the adaptive compensation input. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed controller.