JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2015, Vol. 45 ›› Issue (6): 16-28.doi: 10.6040/j.issn.1672-3961.0.2015.148

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Decentralized finite-time robust connective stabilization for large-scale descriptor systems with expanding construction

LI Xiaohua, YAN Wei, LIU Yang   

  1. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China
  • Received:2015-05-19 Revised:2015-11-02 Online:2015-12-20 Published:2015-05-19

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Abstract: Robust decentralized finite-time connective stabilization for a class of large-scale descriptor systems with expanding construction was studied. The mathematic model of the expanding large-scale descriptor system was established. The sufficient conditions of decentralized finite-time connective stabilization for this kind of systems were deduced based on state feedback and dynamic output feedback by using stability theory and LMI(linear matrix inequality) method. And the design method of the robust decentralized connective stabilization controller meeting the conditions for the newly added subsystem was given without any change on the decentralized control laws of the original large-scale descriptor system. Simulation on a numerical example for interconnected descriptor systems showed that the expanding system could be finite-time connective stabilized, and the feasibility and effectiveness of the proposed method were verified.

Key words: large-scale descriptor systems with expanding construction, finite-time stabilization, LMI, robust connective stability, decentralized control

CLC Number: 

  • TP273
[1] SILJAK D D. Large-scale dynamic systems:stability and structure[M]. New York:North-Holland, 1978.
[2] SILJAK D D, STIPANOVIC D M. Organically-structured control[C]//Proceedings of the American Control Conference(2001). Arlington, VA:ACC, 2001:2736-2742.
[3] GATTIE N. A connective stability analysis of complex system simulation and control via multi-agent systems[C]//Proceedings of the Second Starting AI Researchers' Symposium. Amsterdam:IOS Press, 2004:26-37.
[4] SUN S L, PING P, CHEN C T. Connective stability of a kind of singular nonlinear large-scale dynamical systems[C]//Proceedings of IEEE International Symposium on Industrial Electronics. Shiga, Japan:the IEEE Press, 2009:1731-1736.
[5] TAN X L, IKEDA M. Decentralized stabilization for expanding construction of large-scale systems[J]. IEEE Trans Automatic Control, 1990, 35(6):644-651.
[6] Li X H, GUO H Y. Robust decentralized connective stabilization for expanding construction of large-scale systems[C]//Proceedings of the IEEE International Conference on Automation and Logistics. Qingdao, China:the IEEE Press, 2008:2011-2015.
[7] 李小华, 刘洋, 姜本源, 等. 基于参数优化的扩容电力系统结构稳定的自愈控制[J]. 中山大学学报:自然科学版,2014, 53(6):140-145. LI Xiaohua, LIU Yang, JIANG Benyuan, et al. Self-healing control of expansion power systems in structural stability based on parameter optimization[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2014, 53(6):140-145.
[8] DORATO P. Short time stability in linear time-varying systems[C]//Proof the IRE Int Convention Record(Part4). New York:Institute of Radio Engineers, 1961:83-87.
[9] YAO J, FENG J E, SUN L, et al. Input-output finite-time stability of time-varying linear singular systems[C]//Proceedings of the 30th Chinese Control Conference.Yantai, China:the CCC, 2011:62-66.
[10] XU Y, ZHU S Q, MA S P. Finite-time stability and stabilization for a class of nonlinear discrete-time singular switched systems[C]//Proceedings of 2014 IEEE 53rd Annual Conference on Decision and Control(CDC).
[S.l.]:[s.n.], 2014:4918-4923.
[11] 孙甲冰,程兆林. 一类不确定线性奇异系统的有限时间控制问题[J]. 山东大学学报:工学版,2004, 39(2):1-6. SUN Jiabing, CHENG Zhaolin. Finite-time control for one kind of uncertain linear singular systems[J]. Journal of Shandong University:Engineering Science, 2004, 39(2):1-6.
[12] AMATO F, ARIOLA M, COSENTINO C. Finite-time stabilization via dynamic output feedback[J]. Automatica, 2006, 42(2):337-342.
[13] 龚文振. 离散广义系统的有限时间控制[J]. 工程数学学报, 2013, 30(2):217-230. GONG Wenzhen. Finite-time control of the discrete-time singular systems[J]. Chinese Journal of Engineering Mathematics, 2013, 30(2):217-230.
[14] ZHANG Y Q, SHI P, NGUANG S K, et al. Robust finite-time H∞ control for uncertain discrete-time singular systems with Markovian jumps[J]. Control Theory & Applications, IET, 2014, 8(12):1105-1111.
[15] XU S Y, LAIN J. Robust control and filtering of singular systems[M].New York:Springer Berlin Heidelberg, 2006.
[16] 李小华. 复杂大系统的有机结构控制及其应用研究[D]. 沈阳:东北大学,2006. LI Xiaohua. Organically-structured control of complex large-scale systems and its applications[D]. Shenyang:Northeastern University, 2006.
[17] 辛道义. 有限时间稳定性分析与控制设计研究[D]. 济南:山东大学, 2008. XIN Daoyi. Research on finite-time stability analysis and control design[D]. Jinan:Shandong University, 2008.
[18] MASUBUCHI I, KAMITANE Y, OHARA A, et al. Control for descriptor systems:a matrix inequalities approach[J]. Automatica, 1997, 33(4):669-673.
[19] EL-K'EBIR B. Control of singular systems with random abrupt changes[M]. New York:Springer Berlin Heidelberg, 2008.
[20] BOYD S, GHAOUI L E, FERON E. Linear matrix inequalities in system and control theory[M]. Philadelphia:SIAM, 1994:23-24.
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