A Lyapunov Characterization of Prescribed Performance Control Systems

被引：1

作者：

Wang, Yutian ^{[1
]}

Liu, Tengfei ^{[2
]}

Shim, Hyungbo ^{[3
]}

Rovithakis, George A. ^{[4
]}

Jiang, Zhong-Ping ^{[5
]}

机构：

[1] Univ Cyprus, KIOS Res & Innovat Ctr Excellence, CY-1678 Nicosia, Cyprus

[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Peoples R China

[3] Seoul Natl Univ, Dept Elect & Comp Engn, ASRI, Seoul 151744, South Korea

[4] Aristotle Univ Thessaloniki, Dept Elect & Comp Engn, Thessaloniki 54124, Greece

[5] NYU, Tandon Sch Engn, Brooklyn, NY 11201 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 11期

基金：

国家重点研发计划;

关键词：

Lyapunov methods; Control systems; Closed loop systems; Vectors; Perturbation methods; Heuristic algorithms; Upper bound; Input-to-state practical stability (ISpS); Lyapunov function; prescribed performance control; MIMO NONLINEAR-SYSTEMS; FEEDBACK; TRACKING; STABILIZATION;

D O I：

10.1109/TAC.2024.3399090

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 article contributes a Lyapunov formulation for prescribed performance controller designs. In particular, we first show that the closed-loop system of a typical class of prescribed performance control systems can be transformed into an interconnection of input-to-state practically stable (ISpS) subsystems characterized by ISpS-Lyapunov functions. Then, we take advantage of the gain-interconnections between the subsystems and construct a Lyapunov function for the closed-loop system. The proposed approach is validated through prescribed performance control for both single-input single-output (SISO) and multi-input multi-output (MIMO) plants, as well as systems not necessarily in the lower-triangular form and systems with dynamic uncertainty.

引用

页码：7917 / 7924

页数：8

共 35 条

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