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

• Published in: Applied mathematics and computation 2022-04, Vol.418, p.126787, Article 126787
• Main Authors: Li, Huijuan, Li, Wuquan, Gu, Jianzhong
• Format: Article
• Language: English
• Subjects: Inverse optimal stabilization; Large-scale stochastic nonlinear systems; Time-varying powers
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2021.126787

•This paper is the first result on decentralized stabilization control for large-scale high-order stochastic nonlinear systems with time-varying powers.•A new decentralized controller is constructed to ensure the closed-loop system is globally asymptotically stable in probability.•A new decentralized inverse optimal controller is designed, which is optimal for the meaningful cost function. 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.