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Further control synthesis for time-delay systems with actuator saturation

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Abstract

This paper is concerned with the control synthesis problem for systems with time-varying delay and actuator saturation. A new controller design method is proposed in which auxiliary feedback matrix method is adopted to handle the saturation term in the system. The improvement of the proposed method lies in the application of delay partitioning idea to further enlarge the estimated domain of attraction. All the results are given in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness and superiority of our obtained results.

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References

  1. H. Gao, J. Lam, C. Wang, et al. Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay. IEE Proceedings — Control Theory and Applications, 2004, 151(6): 691–698.

    Article  MathSciNet  Google Scholar 

  2. Y. He, Q. Wang, C. Lin, et al. Delay-range-dependent stability for systems with time-varying delay. Automatica, 2007, 43(2): 371–376.

    Article  MathSciNet  MATH  Google Scholar 

  3. S. Mou, H. Gao, T. Chen. New delay-range-dependent stability condition for linear system. Proceedings of the 7th World Congress on Intelligent Control and Automation. New York: IEEE, 2008: 313–316.

    Google Scholar 

  4. X. Li, H. Gao. A new model transformation of discrete-time systems with time-varying delay and its application to stability analysis. IEEE Transactions on Automatic Control, 2011, 56(9): 2172–2178.

    Article  MathSciNet  Google Scholar 

  5. T. Pare, H. Hindi, J. How, et al. Synthesizing stability regions for systems with saturating actuators. Procceedings of the 37th IEEE Conference on Decision and Control. New York: IEEE, 1998: 1981–1982.

    Google Scholar 

  6. T. Hu, Z. Lin, B. Chen. An analysis and design method for linear systems subject to actrator saturation and disturbance. Automatica, 2002, 38(2): 351–359.

    Article  MATH  Google Scholar 

  7. E. Fridman, A. Pila, U. Shaked. Regional stabilization and H control of time-delay systems with saturating actuators. International Journal of Robust and Nonlinear Control, 2003, 13(9): 885–907.

    Article  MathSciNet  MATH  Google Scholar 

  8. L. Zhang, E.-K. Boukas, A. Haida. Delay-range-dependent control synthesis for time-delay systems with actuator saturation. Automatica, 2008, 44(10): 2691–2695.

    Article  MathSciNet  MATH  Google Scholar 

  9. Z. Zuo, D. W. Ho, Y. Wang, et al. A new approach for estimating the domain of attraction for linear systems with time-varying delay and saturating actuators. Procceedings of the 7th Asian Control Conference. Piscataway: IEEE, 2009: 274–279.

    Google Scholar 

  10. E. Fridman, U. Shaked. A descriptor system approach to H control of linear time-delay systems. IEEE Transactions on Automatic Control, 2002, 47(12): 253–270.

    Article  MathSciNet  Google Scholar 

  11. Y. S. Moon, P. Park, W. H. Kwon, et al. Delay-dependent robust stabilization of uncertain state-delayed systems. International Journal of Control, 2001, 74(14): 1447–1455.

    Article  MathSciNet  MATH  Google Scholar 

  12. S. Tarbouriech, J. Gomes da Silva. Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs. IEEE Transactions on Automatic Control, 2000, 45(1): 105–111.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Yue Gu.

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Mao WANG was born in Shanxi, China, 1965. Currently, he is a professor in Harbin Institute of Technology, Harbin, China. His main research interests include adaptive and variable structure control, hybrid systems, and digital platforms.

Yue GU was born in Heilongjiang, China, 1986. She received her M.S. degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2011. Currently, she serves as an assistant engineer in Shanghai Aerospace Control Engineering Institute. Her current research interests include time-delay systems and systems with actuator saturation

Xianwei LI was born in Chongqing, China, in 1985. He received his B.S. and M.S. degrees in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2009 and 2011, respectively. His current research interests include robust control and filtering, and timedelay systems and their applications.

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Wang, M., Gu, Y. & Li, X. Further control synthesis for time-delay systems with actuator saturation. J. Control Theory Appl. 11, 128–131 (2013). https://doi.org/10.1007/s11768-013-1057-7

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  • DOI: https://doi.org/10.1007/s11768-013-1057-7

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