On the decentralized stabilization of interconnected variable structure systems using output feedback

The robust stabilization problem is considered for a class of interconnected systems using the decentralized output-feedback sliding-mode (DOFSM) control approach. Based on the design procedure of optimal hyperplane in the state space, a set of conditions on the output-feedback pseudo-control gains of sliding mode is derived and then the corresponding set of hyperplane parameters in the output space can be determined. In addition, a different structure of the robust DOFSM controller is proposed in order to satisfy the sliding condition and to overcome the difficulty that the local state of the system and the interconnections among subsystems cannot be measured. It is shown that both the optimal properties of each subsystem in the sliding mode and the global stability of the whole system can be assured despite uncertain interconnections and disturbances.