Decentralized tracking control for a class of stochastic high-order time-delay nonlinear systems under arbitrary switchings

摘要

This paper considers the decentralized tracking control problem for stochastic high-order time-delay switched nonlinear systems. By designing a common Lyapunov-Krasovskii (L-K) functional and using a homogeneous domination approach, we construct an output tracking controller under arbitrary switching to guarantee that the tracking error can be tuned small enough in the mean-square sense while all states of the closed-loop system remain to be bounded in probability. Finally, a chemical reactor system with delayed recycle streams is used to verify the effectiveness of our developed theory. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.