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New delay-dependent stability for systems with interval time-varying delay

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PL
Nowy model stabilności dla systemów z interwałowym zmiennym w czasie opóźnieniem
Języki publikacji
EN
Abstrakty
EN
This paper is concerned with the stability of systems with interval time-varying delay. By employing a new and tighter integral inequality and constructing an appropriate type of Lyapunov functional, the improved delay-dependent stability criteria are derived. Because neither any model transformation nor free weighting matrices are employed in the theoretical derivation, the developed stability criteria simplify and improve the existing stability conditions. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed methods.
PL
Analizowano stabilność systemów z interwałowym zmiennym w czasie opóźnieniem. Wyprowadzono nowe kryteria stabilności bazując na funkcjonale Lapunowa.
Rocznik
Strony
97--99
Opis fizyczny
Bibliogr. 20 poz., tab.
Twórcy
autor
autor
  • College of Information and Communication Engineering, Dalian Nationalities University, Dalian, Liaoning Province, China, cyq@dlnu.edu.cn
Bibliografia
  • [1] S. I. Niculescu, Delay effects on stability: A robust control approach, London: Springer (2001)
  • [2]K. Gu, L. Kharitonov and J. Chen, Stability of time-delay systems, Boston: Birkhauser (2003).
  • [3] M. Wu, Y. He, J. She, G. Liu, Delay-dependent criteria for robust stability of time-varying delay systems, Automatica, 40 (2004), 1435-1439.
  • [4]H. Shao, Improved delay-dependent stability criteria for systems with a delay varying in arrange, Automatica, 44 (2008), 3215-3218.
  • [5] Y. He, Q. Wang, C. Lin, M. Wu, Delay-range-dependent stability for systems with time-varying delay, Automatica, 43 (2007), 371-376.
  • [6] Chen Peng, Dong Yue, and Yu-Chu Tian, New Approach on Robust Delay-Dependent H∞ Control for Uncertain T–S Fuzzy Systems With Interval Time-Varying Delay, IEEE TRANSACTIONS ON FUZZY SYSTEMS, 17 (2009), 890-900.
  • [7] X. Jing, D. Tan, Y. Wang, An LMI approach to stability of systems with severe time- delay, IEEE Transactions on Automatic Control, 49 (2004), 1192-1195.
  • [8] Q. Han, On robust st ability of neutral systems with time-delay and norm-bounded uncertainty, Automatica, 40 (2004), 1087-1092.
  • [9] C. Peng, Y. C. Tian, Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay, Journal of Computational and Applied Mathematics, 214 (2008), 480-494.
  • [10] M. A. Jose and R. Oscar, Control of Teleoperators with Communication Time Delay through State Convergence, Journal of Robotic Systems, 21 (2004), 167–182.
  • [11] H. J. Gao, T. W. Chen and J. Lam, A New Delay System Approach to Network Based Control, Automatica, (2007).
  • [12] Q. L. Han and K. Gu, Stability of linear systems with timevarying delay: A generalized discretized Lyapunov functional approach, Asian Journal of Control, 3 (2001), 170-180.
  • [13] X. F. Jiang, Q. L. Han and X. H. Yu, Robust H∞ Control for Uncertain Takagi-Sugeno Fuzzy Systems with Interval Time-Varying Delay, Proceedings of the 2005 American Control Conference, (2005), 1114-1119.
  • [14] X. F. Jiang and Q. L. Han, On control for linear systems with interval time-varying delay, Automatica, 41 (2005), 2099-2106.
  • [15] X. F. Jiang and Q. L. Han, Delay-dependent robust stability for uncertain linear systems with interval time-varying delay, Automatica, 42 (2006), 1059-1065.
  • [16] R. Mardavij and R. K. Carl, Robust Stability and H ∞ Performance Analysis of Interval-Dependent Time Delay Systems, Proceedings of the 2005 American Control Conference, (2005), 4265-4270.
  • [17] C. Y. Kao, B. Lincoln, Simple stability criteria for systems with timevarying delays, Automatica, 40 (2004), 1429-1434.
  • [18] J. Lam, H. J. Gao and C. H. Wang, Stability Analysis for Continuous Systems with Two Additive Time-Varying Delay Components, Systems and Control Letters, 56 (2007), 16-24.
  • [19] L. K. Vladimir, Robust stability analysis of time delay systems: a survey, Annual Reviews in Control, 23 (1999), 185-196.
  • [20] T. Zhang, Y. C. Li, G. J. Liu, Robust stabilisation of uncertain systems with interval time-varying state and input delays. International Journal of Systems Science. 40 (2009), no. 1, 11-20.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPOH-0062-0023
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