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Analysis of finite-time practical stability for time-varying polytopic systems 被引量：1

Analysis of finite-time practical stability for time-varying polytopic systems
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摘要 The problem of finite-time practical stability （FTPS） for time-varying polytopic systems is discussed. Three equivalent conditions for FTPS are first proposed. To facilitate the system analysis, a sufficient linear matrix inequality （LMI） criterion on the FTPS is further provided. The definition of finite-time practical boundedness and a sufficient LMI criterion are also provided to overcome the exogenous disturbance. A numerical example is used to illustrate the effect of the proposed approach. The problem of finite-time practical stability （FTPS） for time-varying polytopic systems is discussed. Three equivalent conditions for FTPS are first proposed. To facilitate the system analysis, a sufficient linear matrix inequality （LMI） criterion on the FTPS is further provided. The definition of finite-time practical boundedness and a sufficient LMI criterion are also provided to overcome the exogenous disturbance. A numerical example is used to illustrate the effect of the proposed approach.
作者 Zhong Zhen Duan Guangren
机构地区 Harbin Inst. of Technology
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第1期112-119,共8页 系统工程与电子技术（英文版）
基金 partially supported by Major Program of National Natural Science Foundation of China(60710002) Program for Changjiang Scholar and Innovative Research Team in University(PCSIRT).
关键词 polytopic systems linear matrix inequality finite-time control practical stability. polytopic systems, linear matrix inequality, finite-time control, practical stability.
分类号 TP368.1 [自动化与计算机技术—计算机系统结构] TK123 [动力工程及工程热物理—工程热物理]
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参考文献13

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同被引文献17

  • 1Huang Y, Sun C, Qian C, et al. Slow-fast loop gain-scheduled switching attitude tracking control for a near-space hypersonic vehicle [ J ]. Pro- ceedings of IMechE, Part I: Journal of Systems and Control Engineering, 2012, 227 (1) : 96 -109.
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  • 8Daafouz J, Bernussou J, Geromel J C. On inexact LPV control design of continuous-time polytopic systems[ J]. IEEE Transactions on Automat- ic Control, 2008, 53 (7) : 1674 - 1678.
  • 9Deaecto G S, Geromel J C, Daafouz J. Switched state-feedback control for continuous time-varying polytopic systems[ J]. International Journal of Control, 2011, 84(9) : 1500 - 1508.
  • 10Deaecto G S, Geromel J C. H : state feedback switched control for discrete time-varying polytopic systems [ J ]. International Journal of Control, 2013, 86(4) : 591 -598.

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Journal of Systems Engineering and Electronics
2009年 第1期

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