Lyapunov-based design of resilient observers for a class of nonlinear systems and general performance criteria

A class of continuous-time nonlinear system and measurement equations having incrementally conic nonlinearities and finite energy disturbances is considered. A Lyapunov based resilient observer design approach is presented, which guarantees the satisfaction of a variety of performance criteria ranging from estimation error boundedness to dissipativity of various types. Linear matrix inequalities are used in the feasibility study of the solution. Some simulation studies are included to illustrate and provide support to the effectiveness of the proposed design methodology.