Observer-based Control of One-sided Lipschitz Nonlinear Systems

This paper is considered with the observer-based control for a general class of nonlinear systems that satisfy the one-sided Lipschitz condition. The system under consideration encompasses the classical Lipschitz system as a special case and has inherent advantages with respect to conservativeness. For such a system, we study the output feedback control problem by constructing a full-order observer. Sufficient conditions that ensure the existence of observer-based feedback controller are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed control design.