Parallel simultaneous stabilization of two systems governed by partial differential equations subject to actuator saturation

A parallel simultaneous stabilization of two systems governed by partial differential equation (PDE), with conservation law subject to actuator saturation, is considered, and a method on the control design is proposed. Based on the orthogonal decomposition for a Port-Controlled Hamiltonian system, an abstract approach to the parallel simultaneous stabilization of two systems governed by partial differential equation, with conservation law subject to actuator saturation, is established. The study shows that the parallel simultaneous stabilization controller obtained in this paper is valid in the case of the systems governed by the PDEs.