Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Approximation-Based Decentralized Adaptive Output-Feedback Control for Nonlinear Interconnected Time-Delay Systems

비선형 상호 연결된 시간 지연 시스템을 위한 함수 예측 기법에 기반한 분산 적응 출력 궤환 제어

  • 유성진 (중앙대학교 전자전기공학부)
  • Received : 2011.11.19
  • Accepted : 2012.03.20
  • Published : 2012.04.25
Download PDF
⟨ Previous Next ⟩

Abstract

This paper proposes a decentralized adaptive output-feedback controller design for nonlinear interconnected systems with unknown time delays. The interaction terms with unknown delays are related to all states of subsystems. The time-delayed functions are compensated by using appropriate Lyapunov-Krasovskii functionals and function approximation technique. The observer dynamic surface design technique is employed to design the proposed memoryless local controller for each subsystem. In addition, we prove that all signals in the closed-loop system are semiglobally uniformly bounded and control errors converge to an adjustable neighborhood of the origin.

본 논문은 미지의 시간 지연을 갖는 비선형 상호 연결 시스템을 위한 분산 적응 출력 궤환 제어기를 제안한다. 미지의 시간 지연을 갖는 상호 연결 부분은 부시스템들의 모든 상태 변수를 포함한다. 적당한 르아브노브-크라소브스키 함수와 함수 예측 기법을 사용하여 시간 지연 함수들을 보상한다. 각각의 부시스템을 위한 시간에 독립적인 지역 제어기를 설계하기 위해 관측 동적 표면 제어 기법을 이용한다. 제어된 페루프 시스템의 모든 신호들이 준 전역적이고 균일하게 유계됨과 제어 오차가 원점 주위의 조절 가능한 주변으로 수렴함을 증명한다.

Keywords

References

  1. G. Arslan, and T. Basar, "Decentralized risk-sensitive controller design for strict-feedback systems," System and Control Letters vol. 50, no, 5, pp. 383-393, 2003. https://doi.org/10.1016/S0167-6911(03)00195-6
  2. Y. S. Huang, M. Wu, "Robust decentralized direct adaptive output feedback fuzzy control for a class of large-sale nonaffine nonlinear systems," Information Sciences, vol. 181, pp. 2392-2404 2011. https://doi.org/10.1016/j.ins.2010.11.034
  3. P. Ioannou, P. Kokotovic, "Decentralized adaptive control of interconnected systems with reduced order models," Automatica, vol. 21, no. 4, pp. 401-412, 1985. https://doi.org/10.1016/0005-1098(85)90076-7
  4. P. 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
  5. S. Jain, F. Khorrami, "Decentralized adaptive control of 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
  6. C. H. Chou, C. C. Cheng, "A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems," IEEE Transactions on Automatic Control vol. 48, no. 7, pp. 1213-1217, 2003. https://doi.org/10.1109/TAC.2003.814263
  7. Z. Hu, "Decentralized stabilization of large scale interconnected systems with delays," IEEE Transactions on Automatic Control vol. 39, no. 1, pp. 180-182, 1994. https://doi.org/10.1109/9.273363
  8. C. Hua, X. Guan, P. Shi, "Robust decentralized adaptive control for interconnected systems with time delays," Journal of Dynamic Systems, Measurement, and Control vol. 127, pp. 656-662, 2005. https://doi.org/10.1115/1.2101845
  9. C. Hua, X. Guan, "Output feedback stabilization for time-delay nonlinear interconnected systems using neural networks," IEEE Transactions on Neural Networks, vol. 19, no. 4, pp. 673-688, 2008. https://doi.org/10.1109/TNN.2007.912318
  10. S.J. Yoo and J.B. Park, "Neural-network-based decentralized adaptive control for a class of large-scale nonlinear systems with unknown time-varying delays," IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, vol. 39, no. 5, pp. 1316-1323, 2009.
  11. S.J. Yoo, J.B. Park, and Y.H. Choi "Adaptive output feedback control of flexible-joint robots using neural networks: dynamic surface design approach," IEEE Transactions on Neural Networks, vol. 19, no. 10, pp. 1712-1726, 2008. https://doi.org/10.1109/TNN.2008.2001266
  12. D. Swaroop, J.K. Hedrick, P.P. Yip, J.C. Gerdes, "Dynamic surface control for a class of nonlinear systems," IEEE Transactions on Automatic Control, vol. 45 no. 10, pp. 1893-1899, 2000. https://doi.org/10.1109/TAC.2000.880994