OBSERVER DESIGN FOR A CLASS OF DISCRETE-TIME MULTIMODEL NONLINEAR SYSTEMS

This paper addresses the problem of the observer synthesis for a class of discrete-time multimodel systems. The multimodel system is built using two subsystems with Lipschitz nonlinearities. Using a particular Lyapunov function, a sufficient condition for the existence of the observer is proposed. The problem is easily tractable by solving Linear Matrix Inequalities. A numerical example illustrates the applicability of our results.