Lyapunov-based design of resilient mixed MSE-dissipative-type state observers for a class of nonlinear systems and general performance criteria

A class of continuous-time nonlinear system and measurement equations having locally incrementally conic nonlinearities and finite energy disturbances is considered. A Lyapunov-based resilient mixed mean square error (MSE)-dissipative-type state observer design approach is presented, which guarantees the satisfaction of MSE-type estimation error performance together with a variety of dissipative performance criteria ranging from H∞ to passivity of various types. Linear matrix inequalities are used in the feasibility study of the solution. Some simulation examples are included to illustrate and provide support to the effectiveness of the proposed design methodology