Hybrid Minimal Control Synthesis identification of continuous piecewise linear systems

A novel identification strategy is presented in this paper for piecewise linear (PWL) dynamical systems. The strategy is based on the use of the minimal control synthesis adaptive technique for PWL systems presented in. After stating the general identification problem, the convergence of the novel algorithm is proved analytically in the case where the plant is PWL and the reference model is linear. Simulations are carried out on a representative example and are shown to be in perfect agreement with the theoretical derivations.