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01.02.2015 | Brief Paper

Delay-dependent non-fragile H_∞ control for linear systems with interval time-varying delay

verfasst von: Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong

Erschienen in: Machine Intelligence Research | Ausgabe 1/2015

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Abstract

This paper considers the problem of delay-dependent non-fragile H_∞ control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functional (LKF) with triple-integral terms and augment terms is introduced. Then, by using the integral inequalities and convex combination technique, an improved H_∞ performance analysis criterion and non-fragile H_∞ controller are formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by using standard numerical packages. At last, two numerical examples are provided to demonstrate the effectiveness of the obtained results.

Vorheriger Artikel On improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

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[1]

Y. He, Q. G. Wang, C. Lin, M. Wu. Delay-range-dependent stability for systems with time-varying delay. Automatica, vol. 43, no. 2, pp. 371–376, 2007.MathSciNetCrossRefMATH

[2]

X. M. Zhang, Q. L. Han. New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks. IEEE Transactions on Neural Networks, vol. 20, no. 3, pp. 533–539, 2009.CrossRef

[3]

M. Wu, Y. He, J. H. She, G. P. Liu. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica, vol. 40, no. 8, pp. 1435–1440, 2004.MathSciNetCrossRefMATH

[4]

J. Sun, G. P. Liu, J. Chen. Delay-dependent stability and stabilization of neutral time-delay systems. International Journal Robust Nonlinear Control, vol. 19, no. 12, pp. 1364–1375, 2009.MathSciNetCrossRefMATH

[5]

J. Sun, G. P. Liu, J. Chen. Improved delay-range-dependent stability criteria for linear systems with time-varying delays. Automatica, vol. 46, no. 2, pp. 466–470, 2010.MathSciNetCrossRefMATH

[6]

X. L. Zhu, Y. Wang, G. H. Yang. New stability criteria for continuous-time systems with interval time-varying delay. IET Control Theory and Applications, vol. 4, no. 6, pp. 1101–1107, 2010.MathSciNetCrossRef

[7]

C. Peng, Y. Tian. Improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay. IET Control Theory and Application, vol. 2, no. 9, pp. 752–761, 2008.MathSciNetCrossRef

[8]

K. Ramakrishnan, G. Ray. Delay-range-dependent stability criterion for interval time-delay systems with nonlinear perturbations. International Journal of Automation and Computing, vol. 8, no. 1, pp. 141–146, 2011.MathSciNetCrossRef

[9]

J. M. Jiao. Robust stability and stabilization of discrete singular systems with interval time-varying delay and linear fractional uncertainty. International Journal of Automation and Computing, vol. 9, no. 1, pp. 8–15, 2012.CrossRef

[10]

D. Yue, D. Tian, Y. Zhang. A piecewise analysis method to stability analysis of continuous/discrete systems with time-varying delay. International Journal Robust Nonlinear Control, vol. 19, no. 13, pp. 1493–1518, 2009.MathSciNetCrossRefMATH

[11]

E. Fridman, U. Shaked. An improved stabilisation method for linear time-delay systems. IEEE Transactions on Automatic Control, vol. 47, no. 6, pp. 1931–1937, 2002.MathSciNetCrossRef

[12]

Y. S. Lee, Y. S. Moon, W. H. Kwon, P. G. Park. Delay-dependent robust H _∞ control for uncertain systems with a state-delay. Automatica, vol. 40, no. 40, pp. 65–72, 2004.MathSciNetCrossRefMATH

[13]

X. F. Jiang, Q. L. Han. On H _∞ control for linear systems with interval time-varying delay. Automatica, vol. 41, no. 6, pp. 2099–2106, 2005.MathSciNetCrossRefMATH

[14]

S. Y Xu, J. Lam, Y. Zou. New results on delay-dependent robust H _∞ control for systems with time-varying delays. Automatica, vol. 42, no. 6, pp. 343–348, 2006.MathSciNetCrossRefMATH

[15]

C. Jeong, P. Park, S. H. Kim. Improved approach to robust stability and H _∞ performance analysis for systems with an interval time-varying delay. Applied Mathematics and Computation, vol. 218, no. 21, pp. 10533–10541, 2012.MathSciNetCrossRefMATH

[16]

C. Peng, Y. C. Tian. Delay-dependent robust H _∞ control for uncertain systems with time-varying delay. Information Sciences, vol. 179, no. 186, pp. 3187–3197, 2009.MathSciNetCrossRefMATH

[17]

H. C. Yan, H. Zhang, M. Q. H. Meng. Delay-range-dependent robust H _∞ control for uncertain systems with interval time-varying delays. Neurocomputing, vol. 73, no. 6, pp. 1235–1243, 2010.CrossRef

[18]

K. Ramakrishnan, G. Ray. Robust H _∞ controller synthesis for linear uncertain systems with interval time-delay: A less conservative result. International Journal of Control and Automation, vol. 14, no. 4, pp. 39–54, 2011.MathSciNet

[19]

E. G. Tian, D. Yue, Y. J. Zhang. On improved delay-dependent robust H _∞ control for systems with interval time-varying delay. Journal of the Franklin Institute, vol. 348, no. 4, pp. 556–567, 2011.MathSciNetCrossRefMATH

[20]

S. Y. Xu, J. Lam, G. H. Yang, J. L. Wang. Stabilization and H _∞ control for uncertain stochastic time-delay systems via non-fragile controllers. Asian Journal of Control, vol.8, no. 2, pp. 197–200, 2006.MathSciNetCrossRef

[21]

J. H. Zhang, P. Shi, H. J. Yang. Non-fragile robust stabilization and H _∞ control for uncertain stochastic nonlinear time-delay systems. Chaos, Solitons and Fractals, vol. 42, no. 5, pp. 3187–3196, 2009.MathSciNetCrossRefMATH

[22]

C. Wang, Y. Shen. Delay-dependent non-fragile robust stabilization and H _∞ control of uncertain stochastic systems with time-varying delay and nonlinearity. Journal of the Franklin Institute, vol. 348, no. 8, pp. 2174–2190, 2011.MathSciNetCrossRefMATH

[23]

D. Yue, J. Lam. Non-fragile guaranteed cost control for uncertain descriptor systems with time-varying state and input delays. Optimal Control Applications and Methods, vol. 26, no. 2, pp. 85–105, 2005.MathSciNetCrossRef

[24]

L. Q. Su, X. D. Zhu, J. Q. Qiu. Non-fragile H _∞ guaranteed cost control for a non-linear stochastic system with both distributed delays and input delays. Circuits, Systems, and Signal Processing, vol. 30, no. 6, pp. 1503–1520, 2011.MathSciNetCrossRefMATH

[25]

J. H. Kim. Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays. International Journal of Control, Automation, and Systems, vol. 7, no. 3, pp. 357–364, 2009.CrossRef

[26]

C. H. Lien, W. C. Cheng, C. H. Tsai, K.W. Yu. Non-fragile observer-based controls of linear system via LMI approach. Chaos, Solitons and & Fractals, vol. 32, no. 4, pp. 1530–1537, 2007.MathSciNetCrossRefMATH

[27]

Q. Li, Q. L. Zhang, J. C. Wang. Non-fragile observer-based passive control for descriptor systems with time-delay. Journal of Control Theory and Applications, vol.7, no. 3, pp. 237–242, 2009.MathSciNetCrossRefMATH

[28]

C. H. Lien. H _∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach. Chaos, Solitons & Fractals, vol. 34, no. 2, pp. 428–436, 2007.MathSciNetCrossRefMATH

[29]

M. N. Alpaslan. Parlakçi. Improved robust stability criteria and design of robust stabilizing controller for uncertain linear time-delay systems. International Journal of Robust and Nonlinear Control, vol. 16, no. 4, pp. 599–636, 2006.MathSciNet

Titel: Delay-dependent non-fragile H∞ control for linear systems with interval time-varying delay
verfasst von: Jun-Jun Hui
He-Xin Zhang
Xiang-Yu Kong
Publikationsdatum: 01.02.2015
Verlag: Institute of Automation, Chinese Academy of Sciences
Erschienen in: Machine Intelligence Research / Ausgabe 1/2015
Print ISSN: 2731-538X
Elektronische ISSN: 2731-5398
DOI: https://doi.org/10.1007/s11633-014-0851-0

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