Integral IDA-PBC and PID-like control for port-controlled Hamiltonian systems

Interconnection and damping assignment passivity based control (IDA-PBC) has gained increasing popularity. In this paper, we propose constructive results on integral IDA-PBC and PID-type controllers for a class of port-controlled Hamiltonian (PCH) systems. The results extend some existing methods and address a new framework that allows the implementation of integral action control to under-actuated PCH systems that are quite commonly found in practice. Application of the results to control a Quanser inertia wheel pendulum is provided.