Reliable $H_{\infty}$ Controller Design for a Class of Uncertain Linear Systems with Actuator Failures

  • Dai, Shi-Lu (Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University) ;
  • Zhao, Jun (Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University)
  • 발행 : 2008.12.31

초록

This paper is concerned with the reliable $H_{\infty}$ controller design problem for uncertain linear systems against actuator failures. In the design, the $H_{\infty}$ performance of the closed-loop system is optimized during normal operation(without failures) while the system satisfies a prescribed $H_{\infty}$ performance level in the case of actuator failures. Single and parameter-dependent Lyapunov function approaches are applied in designing suboptimal reliable $H_{\infty}$ controllers. Simulation studies are presented to demonstrate the effectiveness of the proposed design procedures.

키워드

참고문헌

  1. R. J. Veillette, J. V. Medanic, and W. R. Perkins, "Design of reliable control systems," IEEE Trans. on Automatic Control, vol. 37, no. 3, pp. 290-304, 1992 https://doi.org/10.1109/9.119629
  2. Q. Zhao and J. Jiang, "Reliable state feedback control system design against actuator failures," Automatica, vol. 34, no. 10, pp. 1267-1272, 1998 https://doi.org/10.1016/S0005-1098(98)00072-7
  3. C. J. Seo and B. K. Kim, "Robust and reliable $H\infty$ control for linear systems with parameter uncertainty and actuator failure," Automatica, vol. 32, no. 3, pp. 465-467, 1996 https://doi.org/10.1016/0005-1098(95)00149-2
  4. G.-H. Yang, J. L. Wang, and Y. C. Soh, "Reliable $H\infty$ controller design for linear systems," Automatica, vol. 37, no. 3, pp. 717-725, 2001 https://doi.org/10.1016/S0005-1098(01)00007-3
  5. J.-S. Yee, G.-H. Yang, and J. Wang, "Reliable output-feedback controller design for discrete time linear systems: an interactive LMI approach," Proc. American Control Conf., pp. 1035-1040, 2001
  6. F. Liao, J. Wang, and G.-H. Yang, "Reliable robust flight tracking control: An LMI approach," IEEE Trans. on Control System Technology, vol. 10, no. 1, pp. 76-89, 2002 https://doi.org/10.1109/87.974340
  7. G.-H. Yang, J. L. Wang, Y. C. Soh and K.-Y. Lou, "Reliable state feedback control synthesis for uncertain linear systems," Asian Journal of Control, vol. 5, no. 2, pp. 301-308, 2003 https://doi.org/10.1111/j.1934-6093.2003.tb00121.x
  8. L. Xie, "Output feedback $H\infty$ control of systems with parameter uncertainty," International Journal of Control, vol. 63, no. 4, pp. 741-750, 1996 https://doi.org/10.1080/00207179608921866
  9. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia, PA, 1994
  10. U. Shaked, "An LPD approach to robust $H_2$ and $H\infty$ static output-feedback design," IEEE Trans. on Automatic Control, vol. 48, no. 5, pp. 866-872, 2003 https://doi.org/10.1109/TAC.2003.811270
  11. Y. He, M. Wu, and J.-H. She, "Improved Bounded-Real-Lemma representation and $H\infty$ control of systems with polytopic uncertainties," IEEE Trans. on Circuits and Systems-II, vol. 52, no. 7, pp. 380-383, 2005 https://doi.org/10.1109/TCSII.2005.850418
  12. E. M. Jafarov, "Robust sliding mode controllers design techniques for stabilization of multivariable time-delay systems with parameter perturbations and external disturbances," International Journal of Systems Science, vol. 36, no. 7, pp. 433-444, 2005 https://doi.org/10.1080/00207720500156363