LMI-based criterion for the robust guaranteed cost control of uncertain switched neutral systems with time-varying mixed delays and nonlinear perturbations by dynamic output feedback

被引:13
作者
Ghadiri, Hamid [1 ]
Jahed-Motlagh, Mohammad Reza [2 ]
机构
[1] Qazvin Azad Univ, Dept Elect Biomed & Mech Engn, Qazvin, Iran
[2] Iran Univ Sci & Technol, Dept Elect Engn, Tehran, Iran
关键词
time-varying uncertainties; switched neutral systems; dynamic output feedback; guaranteed cost control; nonlinear perturbations; EXPONENTIAL STABILITY ANALYSIS; H-INFINITY CONTROL; STABILIZATION; DISCRETE;
D O I
10.1002/cplx.21835
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article reports on an investigation into robust guaranteed cost control (GCC) for uncertain switched neutral systems (USNSs) with interval time-varying mixed delays and nonlinear perturbations via dynamic output feedback. Delay-dependent sufficient conditions are suggested to guarantee the robust exponential stability and to obtain robust GCC for USNSs using the average dwell time approach and the piecewise Lyapunov function technique in terms of a set of linear matrix inequalities. The problem of uncertainty in the system model is solved by deploying the Yakubovich lemma. Lastly, two examples (i.e., a numerical example and the water-quality dynamic model for the Nile River) are given to verify the efficiency of the propounded theories. (c) 2016 Wiley Periodicals, Inc. Complexity 21: 555-578, 2016
引用
收藏
页码:555 / 578
页数:24
相关论文
共 55 条
[1]   Guaranteed cost H∞ controller synthesis for switched systems defined on semi-algebraic sets [J].
Ahmadi, Mohamadreza ;
Mojallali, Hamed ;
Wisniewski, Rafael .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 11 :37-56
[2]  
[Anonymous], 2010, SWITCHED TIME DELAY
[3]  
[Anonymous], 1994, SIAM STUDIES APPL MA
[4]   Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations [J].
Apkarian, PC ;
Tuan, HD ;
Bernussou, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) :1941-1946
[5]   Methods for linear systems of circuit delay differential equations of neutral type [J].
Bellen, A ;
Guglielmi, N ;
Ruehli, AE .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (01) :212-216
[6]   Improved delay-dependent exponential stability criteria for time-delay system [J].
Cao, Jiuwen .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (04) :790-801
[7]   ADAPTIVE GUARANTEED COST CONTROL OF SYSTEMS WITH UNCERTAIN PARAMETERS [J].
CHANG, SSL ;
PENG, TKC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (04) :474-&
[8]   Stability analysis for uncertain neutral systems with discrete and distributed delays [J].
Chen, Huabin ;
Zhang, Yong ;
Zhao, Yang .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) :11351-11361
[9]   On delay-dependent LMI-based guaranteed cost control of uncertain neutral systems with discrete and distributed time-varying delays [J].
Chen, Jenq-Der .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (12) :1068-1087
[10]   Delay-dependent output feedback guaranteed cost control for uncertain time-delay systems [J].
Chen, WH ;
Guan, ZH ;
Lu, XM .
AUTOMATICA, 2004, 40 (07) :1263-1268