Composite control with observers for singular stochastic systems with multiple disturbances

In this paper, the problem of composite anti-disturbances control for singular stochastic systems with multiple disturbances is studied. Here, the states of the system are assumed to be unavailable. By constructing state observer and disturbance observer, the states of the system and matched disturbance are estimated respectively. By combining the disturbance observer based control method, H-infinity control technology and non-fragile control method, a non-fragile composite controller is designed to reduce and eliminate the influence of these disturbances, which ensures the admissibility of the closed-loop system. Thus, the sufficient conditions for the system to be regular, impulse-free and stochastically stable are obtained. Finally, a numerical example is provided to show the validity of the proposed results.