Prescribed-Time Stabilization of a Class of Uncertain Nonlinear Systems by Adaptive Dynamic Programming

被引：0

作者：

Zhang, Ruiqing ^{[1
,2
]}

Jiang, Huaiyuan ^{[1
,2
]}

Zhou, Bin ^{[1
,2
]}

机构：

[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Natl Key Lab Complex Syst Control & Intelligent Ag, Harbin 150001, Peoples R China

来源：

IEEE CONTROL SYSTEMS LETTERS | 2025年 / 9卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Nonlinear systems; Stability analysis; Asymptotic stability; Dynamic programming; Convergence; Adaptive systems; Vectors; Closed loop systems; Training; Time-varying systems; Prescribed-time stabilization; nonlinear systems; data-driven control; unknown control coefficients; FEEDBACK STABILIZATION; TRACKING; DESIGN; ITERATION; CONSENSUS;

D O I：

10.1109/LCSYS.2025.3589618

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This letter studies the problem of prescribed-time stabilization for a class of uncertain nonlinear systems by adaptive dynamic programming. The results of this letter depend on the special properties of the solution to a class of parametric Lyapunov equations (PLEs). By learning the solution to the PLE via adaptive dynamic programming within the input-state information of the controlled system, the issue of unknown control coefficients is addressed. On this basis, the linear time-varying high-gain feedback (TVHGF) is obtained to achieve prescribed-time stabilization of uncertain nonlinear systems. Finally, a simulation example is given to illustrate the effectiveness of the proposed control scheme.

引用

页码：2025 / 2030

页数：6

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