Stabilization of Uncertain Multi-Order Fractional Systems Based on the Extended State Observer

被引：25

作者：

Chen, Liping ^{[1
]}

Chen, Gang ^{[1
]}

Wu, Ranchao ^{[2
]}

Tenreiro Machado, J. A. ^{[3
]}

Lopes, Antonio M. ^{[4
]}

Ge, Suoliang ^{[1
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Anhui, Peoples R China

[2] Anhui Univ, Sch Math, Hefei 230039, Anhui, Peoples R China

[3] Polytech Porto, Inst Engn, Dept Elect Engn, R Dr Antonio Bernardino de Almeida 431, P-4249015 Porto, Portugal

[4] Univ Porto, UISPA LAETA INEGI, Fac Engn, Rua Dr Roberto Frias, P-4200465 Porto, Portugal

来源：

ASIAN JOURNAL OF CONTROL | 2018年 / 20卷 / 03期

关键词：

Fractional-order system; the extended state observer; 0; stabilization; multi-order; DISTURBANCE REJECTION CONTROL; SUFFICIENT CONDITIONS; NONLINEAR-SYSTEMS; ROBUST STABILITY; INTERVAL; SYNCHRONIZATION; NETWORKS; THEOREM;

D O I：

10.1002/asjc.1618

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 extended state observer (ESO) based controller has been used successfully with integer-order systems involving large uncertainties. In this paper, the robust control of uncertain multi-order fractional-order (FO) systems based on ESO is investigated. First, we transform the multi-order FO system into an equivalent system in the form of a same-order state-space equation. Then, the ESO for the new system is established for estimating both the state and the total disturbance. Sufficient conditions for bounded-input and bounded-output stability are derived, and the asymptotic stability of the closed loop system is analyzed, based on whether the states are available or not. Finally, numerical simulations are presented to demonstrate the validity and feasibility of the proposed methodology.

引用

页码：1263 / 1273

页数：11

共 50 条

[1] LMI-based sufficient conditions for robust stability and stabilization of LTI-fractional-order systems subjected to interval and polytopic uncertainties [J].

Adelipour, S. ;

Abooee, A. ;

Haeri, M. .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2015, 37 (10) :1207-1216

[2] Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique [J].

Aghababa, Mohammad Pourmahmood .

NONLINEAR DYNAMICS, 2012, 69 (1-2) :247-261

[3] Stabilization of Fractional-Order Linear Systems with State and Input Delay [J].

Ammour, Amar Si ;

Djennoune, Said ;

Aggoune, Woihida ;

Bettayeb, Maamar .

ASIAN JOURNAL OF CONTROL, 2015, 17 (05) :1946-1954

[4]

[Anonymous], 2000, Applications of Fractional Calculus in Physics

[5]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[6] Smith Predictor Based Fractional-Order-Filter PID Controllers Design for Long Time Delay Systems [J].

Bettayeb, Maamar ;

Mansouri, Rachid ;

Al-Saggaf, Ubaid ;

Mehedi, Ibrahim Mustafa .

ASIAN JOURNAL OF CONTROL, 2017, 19 (02) :587-598

[7]

Brockett R., 2001, NEW ISSUES MATH CONT, P189

[8]

Caponetto R., 2010, Modeling and control applications

[9] Control of a class of fractional-order chaotic systems via sliding mode [J].

Chen, Di-yi ;

Liu, Yu-xiao ;

Ma, Xiao-yi ;

Zhang, Run-fan .

NONLINEAR DYNAMICS, 2012, 67 (01) :893-901

[10] Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks [J].

Chen, Diyi ;

Zhang, Runfan ;

Liu, Xinzhi ;

Ma, Xiaoyi .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (12) :4105-4121

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