Observer-based controller for nonlinear analytical systems

被引：6

作者：

Elloumi, S. ^{[1
]}

Belhouane, M. M. ^{[1
]}

Braiek, N. Benhadj ^{[1
]}

机构：

[1] Univ Carthage, Lab Syst Avances, Polytech Sch Tunisia, Tunis, Tunisia

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2016年 / 47卷 / 08期

关键词：

nonlinear polynomial systems; state observer; Lyapunov direct method; global stabilisation; Kronecker product; LMI approach; DESIGN;

D O I：

10.1080/00207721.2014.951715

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we propose to design a polynomial observer-based control for nonlinear systems and to determine sufficient linear matrix inequality (LMI) global stabilisation conditions of the polynomial controlled system augmented by its observer. The design of the observer-based control leverages some notations from the Kronecker product and the power of matrices properties for the state space description of polynomial systems. The stability study of the polynomial controlled system augmented by its observer is based on the Lyapunov stability direct method. Intensive simulations are performed to illustrate the validity and the effectiveness of the polynomial approach used to design the control.

引用

页码：1783 / 1790

页数：8

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