Controller Synthesis For One Sided Lipschitz Discr

Abstract

This thesis is concerned with stochastic stability of a class of non-linear discrete-time MJSs with time-varying delay, disturbance and partially unknown transition probabilities. By using linear matrix inequality approach and constructing proper Lyapunov-Krasovskii functional, sufficient criteria have been obtained that ensures the asymptotic stability of proposed system. By using the statae feedback controller, it is guaranteed that the state trajectories starting from a given region will remain in it even in the presence of disturbance, time-varying delay, where the non-linear fuction satisfy the one-sided Lipschitz and quadratically inner bounded conditions. In addition, second part of this research deals with the designing of observer-based controller which will stabilize the system without the requirement that the system states are measureable. Finally two examples are given to demonstrate the efficiency of the proposed design.