Global Stabilizability Theorems on Discrete-Time Nonlinear Uncertain Systems

• 成果类型: Article
• 署名作者: Liu, Zhaobo; Li, Chanying
• 署名单位: Shenzhen University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3194962
• 发表日期: 2023
• 页码: 3226-3240
• 关键词: Nonlinear systems; Adaptive control; Closed loop systems; uncertain systems; STANDARDS; linearity; Feedback control; Discrete time; least squares (LS); Nonlinear systems; stabilizability; stochastic adaptive control

摘要

This article focuses on the stabilizability problem for a basic class of discrete-time nonlinear systems with multiple unknown parameters. We claim that such a system is stabilizable if its nonlinear growth rate is dominated by a polynomial rule. This rule cannot be relaxed in general since it becomes a necessary and sufficient condition when the system has a polynomial form (Li and Lam, 2013). We further prove that the concerned stabilizable system is possible to grow exponentially fast. Meanwhile, optimality and closed-loop identification are also discussed herein.