Controller synthesis for one-sided Lipschitz Markovian jump systems with partially unknown transition probabilities

摘要

A controller design method is presented for one-sided Lipschitz Markovian jump systems with partially unknown transition probabilities. By using the proposed controllers, it can be guaranteed that the state trajectories starting from a given region remain in it (without disturbances) or a bigger one (under disturbances), where the local one-sided Lipschitz and quadratically inner-bounded conditions can be satisfied. In addition, an observer-based controller is designed to stabilise the system without the requirement that the system states are measurable. Finally, two examples are given to illustrate the effectiveness of the proposed scheme.