Adaptive control of a class of linear hybrid system

Recently the control of hybrid system has attracted many research efforts. However, few studies have been made on hybrid systems with unknown parameters. In this paper, model reference adaptive controller design is explored for a class of linear hybrid system called piecewise affine systems, based on the concept of the polynomial constraints which can decouple the model parameters from the inference of the hybrid state and the switching mechanism. The validity of the proposed controller design method is examined in numerical simulations, in which a simple hybrid system consisting of three first-order subsystems.