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H Control of Time-Delayed Linear Systems with Saturating Actuators

포화 구동기를 갖는 시간 시연 선형 시스템의 H 제어

  • 송용희 (충북대 대학원 제어및 로봇공학과) ;
  • 김진훈 (충북대 전자정보대학 전자공학부)
  • Received : 2010.05.15
  • Accepted : 2010.06.25
  • Published : 2010.08.01

Abstract

In this paper, we consider the $H_{\infty}$ control of time-delayed linear systems with saturating actuators. The considered time-delay is a time-varying one having bounds on magnitude and time-derivative, and the control permits the predetermined degree of saturation. Based on two modified Lyapunov-Krasovskii(L-K) functionals, we derive a $H_{\infty}$ control in the form of linear matrix inequalities(LMI) having three non-convex design parameters. The result is dependent on the characteristics of time-delay, predetermined degree of saturation level, and bound of disturbance. Finally, we give a comparative example to show the effectiveness and usefulness of our result.

Keywords

References

  1. J.-H. Kim and Z. Bien, "Robust stability of uncertain linear systems with saturating actuators", IEEE, Trans. Automatic control, vol.39, pp. 202-207, 1994. https://doi.org/10.1109/9.273369
  2. D.S. Bernstein and A. N. Michel, "Special issue: saturating actuator", Int. J. Robust and Nonlinear control, vol.5, pp.375-540, 1995. https://doi.org/10.1002/rnc.4590050502
  3. E. Fridman, A. Pila and U. Shaked, "Regional stabilization and $H_{\infty}$ control of time-delay systems with saturating actuaors", Int. J. of Robust and Nonlinear control, vol13, pp.885-907, 2003. https://doi.org/10.1002/rnc.852
  4. X. M. Zhang, M. Wu. J.H. She and Y. He, "Delay-dependent stabilization of linear systems with time-varying state and input delays", Automatica, vol.41, pp.1405-1412, 2005. https://doi.org/10.1016/j.automatica.2005.03.009
  5. Y.-G. Yi and J.-H. Kim, $H_{\infty}$ control of time-ldeayed linear systems with limited actuator capacity, Trans. KIEE, vol.56, pp.1648-1654, 2007.
  6. J.-H. Kim, Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances", Automatica, vol. 44, pp. 2940-2943, 2008. https://doi.org/10.1016/j.automatica.2008.03.015
  7. C. Peng and Y.-C. Tian, "Delya-dependent robust $H_{\infty}$ control for uncertain systems with time-varying delay, Automatica, vol. 179, pp.3187-3197, 2009.
  8. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear matrix inequalities in system and control theory, Siam, 1994.
  9. W. J. Rugh, Linear system theory, Prentice-Hall, 1996.
  10. T. Hu and Z. Lin, Control systems with actuator saturation, Birkhauser, 2001.
  11. K. Gu, V.L. Kharitonov and J. Chen, Stability of time-delay systems, Birkhauser, 2003.