Composite adaptive disturbance observer-based control for switched stochastic systems with multiple disturbances subject to mode-dependent average dwell time switching

The problem of composite adaptive disturbance observer-based control and weighted H ∞ performance analysis for a class switched stochastic systems with multiple disturbances subject to mode-dependent average dwell time switching are studied. A disturbance observer and an adaptive updated law are constructed to further design a state feedback controller. Some sufficient criteria are established to check the stability of the switched stochastic systems with multiple disturbances in terms of the multiple Lyapunov function technique. Furthermore, a composite adaptive disturbance observer based-controller is also given. Finally, two examples are proposed to prove the validity of the obtained results.