Adaptive simultaneous stabilization of two Port-Controlled Hamiltonian systems subject to actuator saturation

This paper investigates the adaptive parallel simultaneous stabilization (APSS) of two multi-input nonlinear Port-Controlled Hamiltonian (PCH) systems subject to actuator saturation, and proposes a number of results on the design of the APSS controllers. Using both the dissipative Hamiltonian structural and saturated actuator properties, the two systems are combined to generate an augmented PCH system subject to actuator saturation, with which some results on the control designs are then obtained. Study of an illustrative example with simulations shows that the APSS controller obtained in this paper is effective.