Mixed H∞ and passive control for singular systems with time delay via static output feedback

被引:68
作者
Chen, Jian [1 ,2 ]
Lin, Chong [1 ]
Chen, Bing [1 ]
Wang, Qing-Guo [3 ]
机构
[1] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[2] Qingdao Univ Technol, Coll Automat Engn, Qingdao 266555, Peoples R China
[3] Univ Johannesburg, Sch Elect Engn, Aucklandpk 2006, Johannesburg, South Africa
基金
中国国家自然科学基金;
关键词
Singular system; Time delay; Mixed H-infinity and passive control; Static output feedback; DEPENDENT ROBUST STABILITY; MARKOVIAN JUMP SYSTEMS; DISCRETE; STABILIZATION; ADMISSIBILITY; DESIGN;
D O I
10.1016/j.amc.2016.08.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the mixed H-infinity and passive control problem is studied,for singular systems with time delay. A sufficient condition is proposed to ensure the considered system to be regular, impulse-free and stable with mixed H-infinity and passivity performance level. Then the criterion is adopted to design a static output feedback controller in terms of bilinear and linear matrix inequalities. An algorithm is established to cast the nonlinear feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:244 / 253
页数:10
相关论文
共 31 条
[11]   Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation [J].
Ma, Yuechao ;
Fu, Lei ;
Jing, Yanhui ;
Zhang, Qingling .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 261 :264-283
[12]   Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems [J].
Park, PooGyeon ;
Lee, Won Il ;
Lee, Seok Young .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (04) :1378-1396
[13]   Mixed H∞ and passive control for singular Markovian jump systems with time delays [J].
Sakthivel, R. ;
Joby, Maya ;
Mathiyalagan, K. ;
Santra, Srimanta .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (10) :4446-4466
[14]   A delay decomposition approach to H∞ admissibility for discrete-time singular delay systems [J].
Shao, Yongyun ;
Liu, Xiaodong ;
Sun, Xin ;
Zhang, Qingling .
INFORMATION SCIENCES, 2014, 279 :893-905
[15]   Finite-time H∞ static output control of Markov jump systems with an auxiliary approach [J].
Shen, Mouquan ;
Yan, Shen ;
Zhang, Guangming ;
Park, Ju H. .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 :553-561
[16]   Mixed H-Infinity and Passive Filtering for Discrete Fuzzy Neural Networks With Stochastic Jumps and Time Delays [J].
Shi, Peng ;
Zhang, Yingqi ;
Chadli, Mohammed ;
Agarwal, Ramesh K. .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2016, 27 (04) :903-909
[17]   Exponential estimates and stabilization of uncertain singular systems with discrete and distributed delays [J].
Shu, Z. ;
Lam, J. .
INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (06) :865-882
[18]  
Su HY, 2006, ASIAN J CONTROL, V8, P180
[19]   Exponential H∞ Filtering for Singular Markovian Jump Systems With Mixed Mode-Dependent Time-Varying Delay [J].
Wang, Yueying ;
Shi, Peng ;
Wang, Quanbao ;
Duan, Dengping .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2013, 60 (09) :2440-2452
[20]   State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems [J].
Wu, Ligang ;
Shi, Peng ;
Gao, Huijun .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (05) :1213-1219