Decentralized fixed‐time control for state‐constrained stochastic systems via nonlinear state‐dependent function approach

Abstract

AbstractThe issue of event‐triggered‐based decentralized fuzzy control of stochastic interconnected large‐scale nonlinear systems with full‐state constraints is studied in this article. By means of the fixed‐time command filtered dynamic surface control technology with the newly error compensating signals, a newly decentralized event‐triggered control scheme is proposed. Under the proposed scheme, the problem of “curse of dimensionality” that often occurs in the conventional backstepping design process is overcome, and the influence of filtering error on transient performance is effectively reduced. Meanwhile, the asymmetric time‐varying state constraints are dealt with by introducing the nonlinear state‐dependent functions. Compared with the conventional schemes of dealing with state constraints, the limitation that the virtual control functions need to satisfy the feasibility conditions is eliminated. In addition, a novel smooth function is constructed to deal with the obstacles caused by unknown interconnections. Simulation results verify the scheme developed.