Browse > Article
http://dx.doi.org/10.5302/J.ICROS.2011.17.6.573

Adaptive Control of a Class of Feedforward and Non-feedforward Nonlinear Systems  

Koo, Min-Sung (Korea Advanced Institute of Science Technology)
Choi, Ho-Lim (Dong-A University)
Lim, Jong-Tae (Korea Advanced Institute of Science Technology)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.17, no.6, 2011 , pp. 573-578 More about this Journal
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.
Keywords
adaptive regulation; feedforward and non-feedforward; switching control;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 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.   DOI
2 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.
3 Y. Xudong, "Universal stabilization of feedforward nonlinear systems," Automatica, vol. 39, no. 1, pp. 141-147, Aug. 2003.   DOI
4 Y. Xudong, "Adaptive output feedback control of nonlinear systems with unknown nonlinearities," Automatica, vol. 41, no. 8, pp. 1367-1374, Apr. 2005.   DOI
5 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.   DOI
6 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.   DOI
7 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.   과학기술학회마을   DOI
8 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.   DOI
9 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).
10 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.   DOI
11 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.   DOI
12 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.   DOI
13 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.   DOI   ScienceOn
14 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.   DOI
15 H. K. Khalil, Nonlinear systems, 3rd Ed., Prentice Hall, Upper Saddle River, NJ 07458, 2002.
16 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.   DOI