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Decentralized Dynamic Surface Control for Large-Scale Interconnected Systems

연결식 대형시스템을 위한 분산 동적 표면 제어

  • Published : 2006.04.01

Abstract

An analysis methodology of Decentralized Dynamic Surface Control (DDSC) for the large-scale interconnected nonlinear systems is presented in this paper. While the centralized DSC approach proposed in [14] has a difficulty to check the quadratic stability for the large-scale systems numerically due to dramatic increases of the order of overall augmented error dynamics, DDSC is relatively easy to check the quadratic stability since lower order error dynamics of individual subsystems are used. Then, a systematic procedure for designing DDSC will be developed. Furthermore, after a quadratic function containing a reachable set is defined, it will be calculated numerically to indicate the performance of DDSC in the framework of convex optimization. Finally an illustrative example will be given for showing the advantages of DDSC compared with other decentralized nonlinear control techniques.

Keywords

References

  1. N. Sandell, P. Varaiya, M. Athans, and M. Safonov, 'Survey of decentralized control methods for large scale systems,' IEEE Transactions on Automatic Control, vol. 23, no. 2, pp. 108-128, 1978 https://doi.org/10.1109/TAC.1978.1101704
  2. D. D. Siljak, Decentralized control of complex systems, San Diego: Academic, 1991
  3. P. A. Ioannou, 'Decentralized adaptive control of interconnected systems,' IEEE Transactions on Automatic Control, vol. 31, no. 4, pp. 291-298, 1986 https://doi.org/10.1109/TAC.1986.1104282
  4. D. T. Gavel and D. D. Siljak, 'Decentralized adaptive control: structural conditions for stability,' IEEE Transactions on Automatic Control, vol. 34, no. 4, pp. 413-426, 1989 https://doi.org/10.1109/9.28016
  5. Z. Gong, C. Wen, and D. P. Mital, 'Decentralized robust controller design for a class of interconnected uncertain systems: with unknown bound of uncertainty,' IEEE Transactions on Automatic Control, vol. 41, no. 6, pp. 850-854, 1996 https://doi.org/10.1109/9.506237
  6. D. Z. Zheng, 'Decentralized output feedback stabilization of a class of nonlinear interconnected systems,' IEEE Transactions on Automatic Control, vol. 34, no. 12, pp. 1297-1300, 1989 https://doi.org/10.1109/9.40781
  7. S. Jain and F. Khorrami, 'Decentralized adaptive output feedback design for large-scale nonlinear systems,' IEEE Transactions on Automatic Control, vol. 42, no. 5, 1997 https://doi.org/10.1109/9.580893
  8. Z. P. Jiang, 'Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback,' IEEE Trans. on Automatic Control, vol. 45, no. 11, pp. 2122-2128, 2000 https://doi.org/10.1109/9.887638
  9. S. Jain and F. Khorrami, 'Decentralized adaptive control for a class of large-scale interconnected nonlinear systems,' IEEE Transactions on Automatic Control, vol. 42, no. 2, pp. 136-154, 1997 https://doi.org/10.1109/9.554396
  10. C. Wen and Y. C. Soh, 'Decentralized adaptive control using integrator backstepping,' Automatica, vol. 33, no. 9, pp. 1719-1724, 1997 https://doi.org/10.1016/S0005-1098(97)00076-9
  11. D. Swaroop, J. K. Hedrick, P. P. Yip, and J. C. Gerdes, 'Dynamic surface control for a class of nonlinear systems' IEEE Trans. on Automatic Control, vol. 45, p. 1893-1899, 2000 https://doi.org/10.1109/TAC.2000.880994
  12. J. Green and J. K. Hedrick, 'Nonlinear speed control of automotive engines,' in Proceedings of American Control Conference, pp. 2891-2897, 1990
  13. B. Song, J. K. Hedrick, 'Design and experimental implementation of longitudinal control for automated transit buses,' in Proceedings of American Control Conference, pp. 2751-2756, Boston, MA, 2004
  14. B. Song, J. K. Hedrick, and A. Howell, 'Robust stabilization and ultimate boundedness of dynamic surface control system via convex optimization,' International Journal of Control, vol. 75, no. 12, pp. 870-881, 2002 https://doi.org/10.1080/00207170210140843
  15. M. Kristic, J. Kanellakopoulos, P. Kokotovic, Nonlinear and adaptive control design, Wiley, 1995
  16. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory, SIAM, 1994
  17. L. El Ghaoui, J. Commeau, F. Delebeque, and R. Nikoukhah, 'LMITOOL 2.2,' available in http://robotics,eecs,berkeley.edu/~elghaoui/#software