Global Stabilization of the Double Integrator System With Saturation and Delay in the Input

被引：32

作者：

Zhou, Bin ^{[1
]}

Duan, Guangren ^{[1
]}

Lin, Zongli ^{[2
]}

机构：

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

[2] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2010年 / 57卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Actuator saturation; global stabilization; linear feedback; nonlinear systems; time-delay; COMPLETE STABILITY ANALYSIS; PLANAR LINEAR-SYSTEMS; MULTIPLE INTEGRATORS; TIME-DELAY; EXTERNAL STABILITY; SUBJECT; OSCILLATORS; DESIGN;

D O I：

10.1109/TCSI.2009.2028645

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper is concerned with the problem of global stabilizing a double integrator system subject to actuator saturation and delay in the input. Two solutions to the problem are proposed by using linear state feedback which are parameterized in a single scalar gamma. The first solution is delay-dependent in the sense that the delay information is directly used in the feedback design. The second solution is delay-independent as the delay information is not directly used in the feedback. Ranges of the value of the free parameter gamma are established within which the closed-loop system is globally asymptotically stable. A numerical example is used to illustrate the effectiveness of the proposed approach.

引用

页码：1371 / 1383

页数：13

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