Robust adaptive parallel simultaneous stabilization of two nonlinear descriptor systems with disturbance

This paper studies the robust adaptive parallel simultaneous stabilization problem of two nonlinear descriptor systems via the Hamiltonian function method. Firstly, under an output feedback law, two nonlinear descriptor systems are transformed into two nonlinear differential-algebraic systems by nonsingular transformations, and a sufficient condition of impulse-free is given for two resulted closed-loop systems. Then, the two systems are combined to generate an augmented dissipative Hamiltonian differential-algebraic system by using the system-augmentation technique. Based on the dissipative system, a robust adaptive parallel simultaneous stabilization controller is given for the two systems via the Hamiltonian function method. Finally, an illustrative example is studied by using the results proposed in this paper.