Finite-time bounded observer-based control for quasi-one-sided Lipschitz nonlinear systems with time-varying delay

Abstract

This paper considers the problem of finite-time bounded observer-based control for a class of quasi-one-sided Lipschitz nonlinear systems with time-varying delay, time-varying parametric uncertainties and norm-bounded disturbances. The design methodology, for the less conservative quasi-one-sided Lipschitz nonlinear systems, involves astute utilization of several matrix decompositions and Jensen's inequality. By using the delay-dependent Lyapunov-Krasovskii functional and using the matrix inequality method, the sufficient conditions are established to guarantee that the resulted closed-loop system is finite-time bounded with a prescribed H_? performance. Based on these results, we have developed the robust observer-based controller synthesis strategy under parametric uncertainties. The proposed methodology ensures that the resulted closed-loop system is finite-time bounded. Finally,  simulate examples are given to illustrate the effectiveness of the proposed method.