Optimal control and operator based robust control for nonlinear system with output nonlinearity from sensor

In the application of smart actuators and sensors, there always exist non-smooth nonlinearities, which make system exhibit undesirable inaccuracies or oscillations and even instability owing to the undifferentiable and nonmemoryless characteristics. However, the non-smooth output nonlinearities brought about from sensors have always been ignored. In this paper, robust control for nonlinear system with output nonlinearities is considered. In details, the optimal control for general system with output constraint and operator based robust control for uncertain system with output nonlinear constraint using operator based internal model like control are considered respectively.