Adaptive control of linear time varying systems

Abstract

A new class of adaptive controllers for linear time varying systems is designed and analyzed using nonlinear design techniques and the certainty-equivalence approach. It is established that this new class of controllers guarantees robustness with respect to unknown but slow parameter variations in the global sense. In addition, asymptotic tracking is achieved when the parameter variations, not necessarily the plant parameters themselves, are fully known. Simulation results are presented to demonstrate the robustness and performance of the new class of controllers.