Backstepping Control for Nonlinear Systems With Time Delays and Applications to Chemical Reactor Systems

被引：219

作者：

Hua, Changchun ^{[1
,2
]}

Liu, Peter X. ^{[1
]}

Guan, Xinping ^{[2
,3
]}

机构：

[1] Carleton Univ, Dept Syst & Comp Engn, Ottawa, ON K1S 5B6, Canada

[2] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

来源：

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS | 2009年 / 56卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Asymptotically stable; chemical reactor systems; Lyapunov-Krasovskii functional; memoryless controller; time-delay systems; OUTPUT-FEEDBACK CONTROL; ADAPTIVE NEURAL-CONTROL; SMALL-GAIN THEOREM; ROBUST STABILIZATION; DESIGN;

D O I：

10.1109/TIE.2009.2025713

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The state feedback control problem is addressed for a class of nonlinear time-delay systems. The time delays appear in all state variables of the nonlinear system, which brings a challenging issue for controller design. With an introduced new Lyapunov-Krasovskii functional, we develop a novel control strategy. With the help of a backstepping method, we design a memoryless state feedback controller, which does not need the precise knowledge of time delays. It is rigorously proved that the closed-loop system is asymptotically stable. Chemical reactor plants are typical nonlinear systems with time delays. We apply the developed method to the control design of a two-stage chemical reactor with delayed recycle streams, and the simulation results verify the effectiveness of the main results.

引用

页码：3723 / 3732

页数：10

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