H∞ norm constraint and variance control for stochastic uncertain large-scale systems via the sliding mode concept

Based on the concept of sliding mode control (SMC), this paper investigates the local-state upper bound covariance control (UBCC) problems with the H_∞ norm and variance constraints for stochastic uncertain large-scale systems. By using the invariance property of variable structure systems, the uncertain interconnection terms with a matching condition will disappear on the sliding mode. Combining the sliding phase and hitting phase of the system design, the hitting controller and the gain matrix G, for each subsystem are proposed to achieve the goal