Decentralized Saturation Control for Large-Scale Stochastic Systems With Strict Feedforward Structure and Its Application

Different from most previous design methods of stochastic feedforward systems, the decentralized nested saturation control strategy is developed in this article to stabilize a kind of large-scale stochastic systems with strict feedforward structure. To analyze the boundedness of system states, an improved criterion for the boundedness of the solution of stochastic system is established. The decentralized controller constructed for each subsystem adopts the form of nested saturation feedback with the adjustable saturation levels. Under these saturation levels that satisfy some suitable conditions, a bottom–up analysis technique is applied to recursively prove that the decentralized controllers can ensure that all states and inputs of stochastic closed-loop system are not only bounded almost surely, but also eventually globally asymptotically stable in probability. The efficiency of decentralized nested saturation control is validated through the ball-beam system with stochastic disturbance and a numerical example.