GLOBAL STABILIZATION OF LINEAR SYSTEMS WITH BOUNDED-CONTROLS USING STATE-DEPENDENT SATURATION FUNCTIONS

By using the so-called SP-stable polynomials, this paper reconsiders the problem of global stabilization of linear systems with input saturation. Firstly, a new nonlinear feedback law consisting of parallel connections of saturation functions by means of the so-called state-dependent saturation func...

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Published inJournal of systems science and complexity Vol. 24; no. 3; pp. 477 - 490
Main Authors Zhou, Bin, Duan, Guangren, Kong, He
Format Journal Article
LanguageEnglish
Published Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.06.2011
Subjects
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
Systems Theory
全局稳定
全局镇定
功能系统
有界控制
线性状态
线性系统
输入饱和
非线性反馈法
global stabilization
stable polynomials
Bounded feedback
nonlinear control
state-dependent saturation functions
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ISSN1009-6124
1559-7067
DOI10.1007/s11424-011-8325-8

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Summary:By using the so-called SP-stable polynomials, this paper reconsiders the problem of global stabilization of linear systems with input saturation. Firstly, a new nonlinear feedback law consisting of parallel connections of saturation functions by means of the so-called state-dependent saturation function is proposed for global stabilization of chains of integrators system. The state-dependent saturation function allows increasing the control energy when some of the states are badly scaled and can improve significantly the transient performances of the closed-loop system. Secondly, this type of global stabilization nonlinear feedback laws is extended to a class of linear systems that can be globally stabilized by bounded controls. Numerical examples show the effectiveness of the proposed approach.
Bibliography:By using the so-called SP-stable polynomials, this paper reconsiders the problem of global stabilization of linear systems with input saturation. Firstly, a new nonlinear feedback law consisting of parallel connections of saturation functions by means of the so-called state-dependent saturation function is proposed for global stabilization of chains of integrators system. The state-dependent saturation function allows increasing the control energy when some of the states are badly scaled and can improve significantly the transient performances of the closed-loop system. Secondly, this type of global stabilization nonlinear feedback laws is extended to a class of linear systems that can be globally stabilized by bounded controls. Numerical examples show the effectiveness of the proposed approach.
Bounded feedback, global stabilization, nonlinear control, state-dependent saturation functions, SP-stable polynomials.
11-4543/O1
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-011-8325-8