Please wait a minute...
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (8): 1043-1049    DOI: 10.1631/jzus.A0720044
Electrical & Electronic Engineering     
Dynamical output feedback stabilization for neutral systems with mixed delays
Wei QIAN, Guo-jiang SHEN, You-xian SUN
State Key Lab of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China; Department of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, China
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

Abstract  This paper is concerned with the issue of stabilization for the linear neutral systems with mixed delays. The attention is focused on the design of output feedback controllers which guarantee the asymptotical stability of the closed-loop systems. Based on the model transformation of neutral type, the Lyapunov-Krasovskii functional method is employed to establish the delay-dependent stability criterion. Then, through the controller parameterization and some matrix transformation techniques, the desired parameters are determined under the delay-dependent design condition in terms of linear matrix inequalities (LMIs), and the desired controller is explicitly formulated. A numerical example is given to illustrate the effectiveness of the proposed method.

Key wordsNeutral systems      Mixed delays      Output feedback stabilization      Linear matrix inequality (LMI)     
Received: 28 October 2007     
CLC:  TP273  
Cite this article:

Wei QIAN, Guo-jiang SHEN, You-xian SUN. Dynamical output feedback stabilization for neutral systems with mixed delays. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(8): 1043-1049.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A0720044     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I8/1043

[1] Hui-jiao WANG, Xiao-dong ZHAO, An-ke XUE, Ren-quan LU. Delay-dependent robust control for uncertain discrete singular systems with time-varying delay[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(8): 1034-1042.
[2] Mei-qin LIU, Sen-lin ZHANG, Gang-feng YAN. A new neural network model for the feedback stabilization of nonlinear systems[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(8): 1015-1023.
[3] Deng-feng ZHANG, Hong-ye SU, Jian CHU, Zhi-quan WANG. Suboptimal reliable guaranteed cost control for continuous-time systems with multi-criterion constraints[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(8): 1024-1033.
[4] Hui-jiao WANG, An-ke XUE, Yun-fei GUO, Ren-quan LU. Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(4): 546-551.
[5] Mei-qin LIU, Jian-hai ZHANG. Exponential synchronization of general chaotic delayed neural networks via hybrid feedback[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(2): 262-270.
[6] CHEN Yun, XUE An-ke, GE Ming, WANG Jian-zhong, LU Ren-quan. On exponential stability for systems with state delays[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(8): 1296-1303.
[7] ZHANG Jian-hai, ZHANG Sen-lin, LIU Mei-qin. Robust exponential stability analysis of a larger class of discrete-time recurrent neural networks[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(12): 1912-1920.
[8] Liu Mei-Qin. Stability analysis of neutral-type nonlinear delayed systems: An LMI approach[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(Supplement 2): 237-244.
[9] Liu Mei-qin. Interval standard neural network models for nonlinear systems[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(4 ): 8-.
[10] BAI Lei-shi, HE Li-ming, TIAN Zuo-hua, SHI Song-jiao. Design of H robust fault detection filter for nonlinear time-delay systems[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(10): 16-.
[11] ZHANG Sen-lin, LIU Mei-qin. Stability analysis of discrete-time BAM neural networks based on standard neural network models*[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 14-.
[12] ZHANG Sen-lin, LIU Mei-qin. LMI-based approach for global asymptotic stability analysis of continuous BAM neural networks[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 1): 5-.
[13] CAO Feng-wen, LU Ren-quan, SU Hong-ye, CHU Jian. Robust H output feedback control for a class of uncertain Lur’e systems with time-delays[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5( 9): 14-.
[14] SU Hong-ye, HU Jian-bo, LAM James. ROBUST STABILIZATION OF UNCERTAIN TIME-DELAY SYSTEMS CONTAINING NONLINEAR SATURATING ACTUATORS[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2000, 1(3): 241-248.