International Journal of Control, Automation, and Systems

  • 제5권5호
  • /
  • Pages.492-500
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  • 2007
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  • 1598-6446(pISSN)
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  • 2005-4092(eISSN)
제어로봇시스템학회 (Institute of Control, Robotics and Systems)
권호 표지

Guaranteed Cost Control for a Class of Uncertain Delay Systems with Actuator Failures Based on Switching Method

  • Wang, Rui (School of Information Science and Engineering, Northeastern University) ;
  • Zhao, Jun (School of Information Science and Engineering, Northeastern University)
  • 발행 : 2007.10.31
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초록

This paper focuses on the problem of guaranteed cost control for a class of uncertain linear delay systems with actuator failures. When actuators suffer "serious failure" the never failed actuators can not stabilize the system, based on switching strategy of average dwell time method, under the condition that activation time ratio between the system without actuator failure and the system with actuator failures is not less than a specified constant, a sufficient condition for exponential stability and weighted guaranteed cost performance are developed in terms of linear matrix inequalities (LMIs). Finally, as an example, a river pollution control problem illustrates the effectiveness of the proposed approach.

키워드

참고문헌

  1. Q. L. Han and K. Q. Gu, 'On robust stability of time-delay systems with norm-bounded uncertainty,' IEEE Trans. on Automatic Control, vol. 46, no. 9, pp. 1426-1431, 2001 https://doi.org/10.1109/9.948471
  2. Y. He, M. Wu, J. H. She, and G. P. Liu, 'Delaydependent robust stability criteria for uncertain neutral systems with mixed delays,' Systems & Control Letters, vol. 51, no. 1, pp. 57-65, 2004 https://doi.org/10.1016/S0167-6911(03)00207-X
  3. Y. He, M. Wu, J. H. She, and G. P. Liu, 'Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopictype uncertainties,' IEEE Trans. on Automatic Control, vol. 49, no. 5, pp. 828-832, 2004 https://doi.org/10.1109/TAC.2004.828317
  4. M. Wu, Y. He, J. H. She, and G. P. Liu, 'Delaydependent criteria for robust stability of timevarying delay systems,' Automatica, vol. 40, no. 8, pp. 1435-1439, 2004 https://doi.org/10.1016/j.automatica.2004.03.004
  5. Y. S. Moon, P. Park, W. H. Kwon, and Y. S. Lee, 'Delay-dependent robust stabilization of uncertain state-delayed systems,' International Journal of Control, vol. 74, no. 14, pp. 1447- 1455, 2001 https://doi.org/10.1080/00207170110067116
  6. H. J. Gao and C. H. Wang, 'Delay-dependent robust and filtering for a class of uncertain nonlinear time-delay systems,' IEEE Trans. on Automatic Control, vol. 48, no. 9, pp. 1661-1665, 2003 https://doi.org/10.1109/TAC.2003.817012
  7. B. Chen, J. Lam, and S. Y. Xu, 'Memory state feedback guaranteed cost control for neutral delay systems,' Int. J. Innovative Computing, Information and Control, vol. 2, no. 2, pp. 293- 303, 2006 https://doi.org/10.1109/ICICIC.2006.329
  8. W. H. Chen, Z. H. Guan, and X. M. Liu, 'Delaydependent output feedback guaranteed cost control for uncertain time-delay systems,' Automatica, vol. 40, no. 7, pp. 1263-1268, 2004 https://doi.org/10.1016/j.automatica.2004.02.003
  9. S. S. L. Chang and T. K. C. Peng, 'Adaptive guaranteed cost control of systems with uncertain parameters,' IEEE Trans. on Automatic Control, vol. 17, no. 4, pp. 474-483, 1972 https://doi.org/10.1109/TAC.1972.1100037
  10. L. Yu and F. Gao, 'Optimal guaranteed cost control of discrete-time uncertain systems with both state and input delays,' Journal of Franklin Institute, vol. 338, no. 1, pp. 101-110, 2001 https://doi.org/10.1016/S0016-0032(00)00073-9
  11. I. R. Petersen and D. C. McFarlane, 'Optimal guaranteed cost control and filtering for uncertain linear systems,' IEEE Trans. on Automatic Control, vol. 39, no. 9, pp. 1971-1977, 1994 https://doi.org/10.1109/9.317138
  12. L. Yu, Z. H. Guan, and M. X. Sun,'Optimal guaranteed cost control of linear uncertain systems with input constraints,' International Journal of Control, Automation, and Systems, vol. 3, no. 3, pp. 397-402, 2005
  13. J. H. Park and K. Choi, 'Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback,' Chaos, Solitons and Fractals, vol. 24, no. 1, pp. 183-190, 2005 https://doi.org/10.1016/S0960-0779(04)00538-7
  14. J. S. Yee, F. H. Yang, and J. L. Wang, 'Resilient guaranteed cost control to tolerate actuator faults for discrete-time uncertain linear systems,' IEE Proceedings-Control Theory and Applications, vol. 147, no. 3, pp. 277-284, 2000 https://doi.org/10.1049/ip-cta:20000277
  15. G. H. Yang, J. L. Wang, and C. S. Yeng, 'Reliable guaranteed cost control for uncertain nonlinear systems,' IEEE Trans. on Automatic Control, vol. 45, no. 11, pp. 2188-2192, 2000 https://doi.org/10.1109/9.887682
  16. L. Yu, 'An LMI approach to reliable guaranteed cost control of discrete-time systems with actuator failure,' Applied Mathematics and Computation, vol. 162, no. 3, pp. 1325-1331, 2005 https://doi.org/10.1016/j.amc.2004.03.012
  17. R. Wang and J. Zhao, 'Reliable H$_{\infty}$ control for a class of switched nonlinear systems with actuator failures,' Nonlinear Analysis: Hybrid Systems, vol. 1, no. 3, pp. 317-325, 2007 https://doi.org/10.1016/j.nahs.2006.11.002
  18. J. P. Hespanha and A. S. Morse, 'Stability of switched systems with average dwell-time,' Proc. of the 38th IEEE Conference on Decision and Control, pp. 2655-2660, Dec. 1999
  19. D. Liberzon, Switching in Systems and Control, Birkhauser, Boston, 2003
  20. G. S. Zhai, B. Hu, K. Yasuda, and A. N. Michel, 'Disturbance attenuation properties of timecontrolled switched systems,' Journal of the Franklin Institute, vol. 338, no. 7, pp. 765-779, 2001 https://doi.org/10.1016/S0016-0032(01)00030-8
  21. X. M. Sun, J. Zhao, and D. J. Hill, 'Stability and $L_{2}$-gain analysis for switched delay systems: A delay-dependent method,' Automatica, vol. 42, no. 10, pp. 1769-1774, 2006 https://doi.org/10.1016/j.automatica.2006.05.007
  22. G. S. Zhai and H. Lin, 'Controller failure time analysis for symmetric $H{\infty}$ control systems,' International Journal of Control, vol. 77, no. 6, pp. 598-605, 2004 https://doi.org/10.1080/00207170410001703232
  23. M. A. Demetriou, 'Adaptive reorganization of switched systems with faulty actuators,' Proc. of the 40th IEEE conference on Decision and Control, pp. 1879-1884, 2001
  24. C. Edwards and C. P. Tan, 'Fault tolerant control using sliding mode observers,' Proc. of the 43rd IEEE conference on Decision and Control, pp. 5254-5259, 2004
  25. C. S. Lee and G. Leitmann, 'Continuous feedback guaranteeing uniform ultimate boundedness for uncertain for uncertain linear delay systems: An application to river pollution control,' Computers and Mathematics with Applications, vol. 16, no. 10-11, pp. 929-938, 1988
  26. F. Zheng, Q. G. Wang, and T. H. Lee, 'Adaptiverobust control of uncertain time delay systems,' Automatica, vol. 41, no. 8, pp. 1375- 1383, 2005 https://doi.org/10.1016/j.automatica.2005.03.014