Decentralized stabilization of large-scale stochastic nonlinear systems with time-varying powers

Huijuan Li, Wuquan Li and Jianzhong Gu

Applied Mathematics and Computation, 2022, vol. 418, issue C

Abstract: In this paper, we study the decentralized stabilization problem for large-scale high-order stochastic nonlinear systems with time-varying powers. By using the backstepping design technique, a new decentralized state-feedback controller is constructed to ensure the closed-loop system is globally asymptotically stable (GAS) in probability. Then we further redesign a new optimal controller to solve the decentralized inverse optimal stabilization (IOS) problem. Specifically, our redesigned stabilizing backstepping controller is not only globally asymptotically stable for the closed-loop system but also optimal for the meaningful cost function. Finally, a simulation example is given to illustrate the effectiveness of the designed controllers.

Keywords: Large-scale stochastic nonlinear systems; Inverse optimal stabilization; Time-varying powers (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321008699

DOI: 10.1016/j.amc.2021.126787

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