Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Adaptive Control of a Class of Feedforward and Non-feedforward Nonlinear Systems

피드포워드와 비피드포워드 비선형성이 혼재된 비선형 시스템의 적응 제어

  • 구민성 (한국과학기술원 전기 및 전자공학과) ;
  • 최호림 (동아대학교 전기공학과) ;
  • 임종태 (한국과학기술원 전기 및 전자공학과)
  • Received : 2011.03.16
  • Accepted : 2011.04.24
  • Published : 2011.06.01
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Abstract

We propose a switching-based adaptive state feedback controller for a class of nonlinear systems that have uncertain nonlinearity. The base of the proposed conditions on the nonlinearity is the feedforward form, then it is extended via a nonlinear function containing all the states and the control input. As a result, more generalized systems containing feedforward and nonfeedforward terms are allowed as long as the ratio condition of the nonlinear function is satisfied. Moreover, the information on the growth rate of nonlinearity is not required a priori in our control scheme.

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References

  1. T. Chen and J. Huang, "Global robust output regulation by state feedback for strict feedforward systems," IEEE Trans. Automat. Contr., vol. 54, no. 9, pp. 2157-2163, Sep. 2009. https://doi.org/10.1109/TAC.2009.2024377
  2. H.-L. Choi and J.-T. Lim, "Stabilization of a class of nonlinear systems by adaptive output feedback," Automatica, vol. 41, no. 6, pp. 1091-1097, Mar. 2005. https://doi.org/10.1016/j.automatica.2005.01.009
  3. F. A. C. C. Fontes "A general framework to design stabilizing nonlinear model predictive controllers," Syst. Control Lett., vol. 42, no. 2, pp. 127-143, Feb. 2001. https://doi.org/10.1016/S0167-6911(00)00084-0
  4. M. T. Frye, R. Trevino, and C. Qian, "Output feedback stabilization of nonlinear feedforward systems using low gain homogeneous domination," IEEE Int. Conf. Control and Automation, pp. 422-427, May 2007. https://doi.org/10.1109/ICCA.2007.4376392
  5. H. K. Khalil, Nonlinear systems, 3rd Ed., Prentice Hall, Upper Saddle River, NJ 07458, 2002.
  6. P. Krishnamurthy and F. Khorrami, "A high-gain scaling technique for adaptive output feedback control of feed-forward systems," IEEE Trans. Automat. Contr., vol. 49, no. 12, pp. 2286-2292, Dec. 2004. https://doi.org/10.1109/TAC.2004.838476
  7. P. Krishnamurthy and F. Khorrami, "Generalized state scaling and applications to feedback, feedforward, and nontriangular nonlinear systems," IEEE Trans. Automat. Contr., vol. 52, no. 1, pp. 102-108, Jan. 2007. https://doi.org/10.1109/TAC.2006.886534
  8. M. Krstic, "Feedback linearizability and explicit integrator forwarding controllers for classes of feedforward systems," IEEE Trans. Automat. Contr., vol. 49, no. 10, pp. 1668-1682, Oct. 2004. https://doi.org/10.1109/TAC.2004.835361
  9. M.-S. Koo, H.-L. Choi, and J.-T. Lim, "On global stabilization of a class of nonlinear systems with high-order nonlinearities by state feedback," International Journal of Control, Automation, and Systems, vol. 8, no. 4, pp. 908-912, Aug. 2010. https://doi.org/10.1007/s12555-010-0426-y
  10. M.-S. Koo, H.-L. Choi, and J.-T. Lim, "Global regulation of al class of nonlinear systems with high-order triangular type nonlinearity," International Journal of Control, Automation, and Systems, vol. 9, no. 4, 2011 (to appear).
  11. H. Lei and W. Lin, "Universal adaptive control of nonlinear systems with unknown growth rate by output feedback," Automatica, vol. 42, no. 10, pp. 1783-1789, Jul. 2006. https://doi.org/10.1016/j.automatica.2006.05.006
  12. W. Lin and C. Qian, "Adding one power integrator: a tool for global stabilization of high-order lower triangular systems," Syst. Control Lett., vol. 39, no. 5, pp. 339-351, Sep. 2000. https://doi.org/10.1016/S0167-6911(99)00115-2
  13. R. Olfari-Saber, "Fixed point controllers and stabilization of the cart-pole system and the rotating pendulum," Proc. of the 38th Conf. on Decision and Control, pp. 1174-1181, Dec. 1999.
  14. Y. Xudong, "Universal stabilization of feedforward nonlinear systems," Automatica, vol. 39, no. 1, pp. 141-147, Aug. 2003. https://doi.org/10.1016/S0005-1098(02)00196-6
  15. Y. Xudong, "Adaptive output feedback control of nonlinear systems with unknown nonlinearities," Automatica, vol. 41, no. 8, pp. 1367-1374, Apr. 2005. https://doi.org/10.1016/j.automatica.2005.03.003
  16. X. Ye and H. Unbehauen, "Global adaptive stabilization for a class of feedforward nonlinear systems," IEEE Trans. on Automat. Contr., vol. 49, no. 5, pp. 786-792, May 2004. https://doi.org/10.1109/TAC.2004.825610