Exponential Stabilization of Stochastic Feedforward Nonlinear Systems: A Dynamic Gain Approach

• 成果类型: Article
• 署名作者: Cui, Rong-Heng; Xie, Xue-Jun
• 署名单位: Qufu Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3331682
• 发表日期: 2024
• 页码: 2605-2612
• 关键词: Feedforward systems; Output feedback; Closed loop systems; Adaptive systems; CONVERGENCE; control design; Time-varying systems; Dynamic gain; exponential stability; output feedback control; stochastic feedforward nonlinear systems

摘要

This article solves the problem of almost sure exponential stabilization via output feedback control for stochastic feedforward nonlinear systems with the unknown growth rate. A novel dynamic gain is introduced not only to cope with system uncertainties but also to ensure exponential convergence. Based on this dynamic gain, an adaptive output feedback controller is explicitly constructed. By introducing an improved stochastic analysis method, we rigorously prove that the closed-loop system has an almost surely unique solution, all the closed-loop signals are bounded almost surely, and the solution of the closed-loop system tends to the equilibrium position exponentially fast.