Robust Impulsive Observer–Based Stabilization for Uncertain Nonlinear Systems With Sampled–Output

In this letter, the design of an impulsive observer-based control, for a class of nonlinear systems with time-varying uncertainties, is proposed based on the LMI framework. The nonlinearities under consideration are assumed to satisfy local Lipschitz conditions. The observer uses sampled measurements of the system output. A time-varying Lyapunov function is used to give sufficient conditions for the existence of the impulsive observer-based control. The observer and controller gain can be obtained through feasible solutions of the LMIs proposed. The scheme presented here demonstrates that mathematically and through simulation, the proposed approach properly estimates and stabilizes all states.