Dynamical output feedback stabilization of MIMO bilinear systems with undamped natural response

This paper considers the globally asymptotic stabilization problem of multi-input multi-output bilinear systems with undamped natural response. Under the conditions for asymptotic stabilization by static state feedback control and system detectability, two output dynamic feedback controllers with saturation bounded control are constructed. The global asymptotic stability of the closed-loop system is verified by Lyapunov stability theory and LaSalle's Lemma. An example is given to demonstrate the obtained results