Adaptive robust control based on piecewise Lyapunov functions for a class of uncertain linear systems

This paper discusses a design problem of adaptive robust control system for a class of uncertain linear systems via piecewise Lyapunov functions. The uncertainties under consideration which are composed of matched part and unmatched one are bounded, but its upper bounds are unknown. In this paper, we present a design method of the adaptive robust control system with the variable gain controller. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed controller.