Nonlinear Observer Design for One-Sided Lipschitz Generalized System

State estimation of systems satisfying some special nonlinearities have been important topics in nonlinear system theory. In this paper, we discuss the problem ofobserver design for one-sided Lipschitz nonlinear generalized systems basedon generalized quadratic stability and Lyapunov function, by using the linear matrix inequality (LMI) andlinear matrix equality (LME) approach, we propose some sufficient conditions for thegeneralized quadratic stability of one-sided Lipschitz generalized systems, which ensure that the observererror dynamics is generalized quadratically stable. Simulation results on one example are given to illustratethe effectiveness and advantages of the proposed design.