Stabilization and control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation

This paper investigates the stabilization and H ∞ control of nonlinear port-controlled Hamiltonian (PCH) systems subject to actuator saturation, and proposes a number of new results. First, the stabilization problem is studied, and a control design method is developed by using both the dissipative Hamiltonian structural and saturating actuator properties. Second, for the case that there are external disturbances in the systems, an H ∞ controller is designed to attenuate the disturbances. Finally, the results obtained for Hamiltonian systems are applied to the stabilization and H ∞ control of nonlinear affine systems subject to actuator saturation, and several interesting results are presented. Study of an example of power system with simulations shows that the controller proposed in this paper is effective.