- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Annual Issues
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 169519, 16 pages
http://dx.doi.org/10.1155/2013/169519
Controller Design for a Second-Order Plant with Uncertain Parameters and Disturbance: Application to a DC Motor
1Facultad de Ingeniería y Arquitectura, Universidad Católica de Manizales, Cr 23 No 60-63, Manizales 170002, Colombia
2Departamento de Ingeniería Eléctrica, Electrónica y Computación, Facultad de Ingeniería y Arquitectura, Universidad Nacional de Colombia, Sede Manizales, Percepción y Control Inteligente, Bloque Q, Campus La Nubia, Manizales 170003, Colombia
Received 1 August 2012; Revised 20 December 2012; Accepted 28 December 2012
Academic Editor: Gani Stamov
Copyright © 2013 Alejandro Rincón et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- Z. Li, J. Chen, G. Zhang, and M. G. Gan, “Adaptive robust control for DC motors with input saturation,” IET Control Theory & Applications, vol. 5, no. 16, pp. 1895–1905, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
- J. Linares-Flores, J. Reger, and H. Sira-Ramirez, “Load torque estimation and passivity-based control of a boost-converter/DC-motor combination,” IEEE Transactions on Control Systems Technology, vol. 18, no. 6, pp. 1398–1405, 2010. View at Publisher · View at Google Scholar · View at Scopus
- M. A. Khanesar, O. Kaynak, and M. Teshnehlab, “Direct model reference Takagi-Sugeno fuzzy control of SISO nonlinear systems,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 5, pp. 914–924, 2011. View at Publisher · View at Google Scholar
- I. Kanellakopoulos, P. V. Kokotović, and A. S. Morse, “Systematic design of adaptive controllers for feedback linearizable systems,” IEEE Transactions on Automatic Control, vol. 36, no. 11, pp. 1241–1253, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- Y. Hong and B. Yao, “A globally stable saturated desired compensation adaptive robust control for linear motor systems with comparative experiments,” Automatica, vol. 43, no. 10, pp. 1840–1848, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- S. Tong and Y. Li, “Fuzzy adaptive robust backstepping stabilization for SISO nonlinear systems with unknown virtual control direction,” Information Sciences, vol. 180, no. 23, pp. 4619–4640, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- F. J. Lin, P. H. Shieh, and P. H. Chou, “Robust adaptive backstepping motion control of linear ultrasonic motors using fuzzy neural network,” IEEE Transactions on Fuzzy Systems, vol. 16, no. 3, pp. 676–692, 2008. View at Publisher · View at Google Scholar · View at Scopus
- F. J. Lin, L. T. Teng, C. Y. Chen, and Y. C. Hung, “FPGA-based adaptive backstepping control system using RBFN for linear induction motor drive,” IET Electric Power Applications, vol. 2, no. 6, pp. 325–340, 2008. View at Publisher · View at Google Scholar · View at Scopus
- A. El Magri, F. Giri, A. Abouloifa, and F. Z. Chaoui, “Robust control of synchronous motor through AC/DC/AC converters,” Control Engineering Practice, vol. 18, no. 5, pp. 540–553, 2010. View at Publisher · View at Google Scholar · View at Scopus
- J. Zhou, C. Wen, and Y. Zhang, “Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis,” IEEE Transactions on Automatic Control, vol. 49, no. 10, pp. 1751–1757, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
- J. Zhou, C. Wen, and Y. Zhang, “Adaptive backstepping control of a class of uncertain nonlinear systems with unknown dead-zone,” in Proceedings of the IEEE Conference on Robotics, Automation and Mechatronics, pp. 513–518, December 2004. View at Scopus
- J. Zhou, C. Wen, and W. Wang, “Adaptive backstepping control of uncertain systems with unknown input time-delay,” Automatica, vol. 45, no. 6, pp. 1415–1422, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- C. Wen, J. Zhou, and W. Wang, “Decentralized adaptive backstepping stabilization of interconnected systems with dynamic input and output interactions,” Automatica, vol. 45, no. 1, pp. 55–67, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- A.-C. Huang and Y.-S. Kuo, “Sliding control of non-linear systems containing time-varying uncertainties with unknown bounds,” International Journal of Control, vol. 74, no. 3, pp. 252–264, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- Y. Zhang, P. Y. Peng, and Z. P. Jiang, “Stable neural controller design for unknown nonlinear systems using backstepping,” IEEE Transactions on Neural Networks, vol. 11, no. 6, pp. 1347–1360, 2000. View at Scopus
- C. P. Bechlioulis and G. A. Rovithakis, “Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems,” Automatica, vol. 45, no. 2, pp. 532–538, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- Y. Li, S. Qiang, X. Zhuang, and O. Kaynak, “Robust and adaptive backstepping control for nonlinear systems using RBF neural networks,” IEEE Transactions on Neural Networks, vol. 15, no. 3, pp. 693–701, 2004. View at Publisher · View at Google Scholar · View at Scopus
- J. Na, X. Ren, G. Herrmann, and Z. Qiao, “Adaptive neural dynamic surface control for servo systems with unknown dead-zone,” Control Engineering Practice, vol. 19, no. 11, pp. 1328–1343, 2011. View at Publisher · View at Google Scholar
- D. Wang and J. Huang, “Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form,” IEEE Transactions on Neural Networks, vol. 16, no. 1, pp. 195–202, 2005. View at Publisher · View at Google Scholar · View at Scopus
- C.-Y. Su, Y. Feng, H. Hong, and X. Chen, “Adaptive control of system involving complex hysteretic nonlinearities: a generalised Prandtl-Ishlinskii modelling approach,” International Journal of Control, vol. 82, no. 10, pp. 1786–1793, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
- Y. Feng, H. Hong, X. Chen, and C. Y. Su, “Robust adaptive controller design for a class of nonlinear systems preceded by generalized Prandtl-Ishlinskii hysteresis representation,” in Proceedings of the 7th World Congress on Intelligent Control and Automation (WCICA '08), pp. 382–387, Chongqing, China, June 2008. View at Publisher · View at Google Scholar · View at Scopus
- Y. Feng, C. Y. Su, and H. Hong, “Universal construction of robust adaptive control laws for a class of nonlinear systems preceded by generalized Prandtl-Ishlinskii representation,” in Proceedings of the 3rd IEEE Conference on Industrial Electronics and Applications (ICIEA '08), pp. 153–158, Singapore, June 2008. View at Publisher · View at Google Scholar · View at Scopus
- Y. Feng, Y. M. Hu, and C. Y. Su, “Robust adaptive control for a class of perturbed strict-feedback nonlinear systems with unknown Prandtl-Ishlinskii hysteresis,” in Proceedings of the IEEE International Symposium on Intelligent Control (ISIC '06), pp. 106–111, Munich, Germany, October 2006. View at Publisher · View at Google Scholar · View at Scopus
- H. Du, S. S. Ge, and J. K. Liu, “Adaptive neural network output feedback control for a class of non-affine non-linear systems with unmodelled dynamics,” IET Control Theory and Applications, vol. 5, no. 3, pp. 465–477, 2011. View at Publisher · View at Google Scholar
- S. S. Ge and J. Wang, “Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients,” IEEE Transactions on Automatic Control, vol. 48, no. 8, pp. 1463–1469, 2003. View at Publisher · View at Google Scholar · View at Scopus
- Y. Xudong and J. Jingping, “Adaptive nonlinear design without a priori knowledge of control directions,” IEEE Transactions on Automatic Control, vol. 43, no. 11, pp. 1617–1621, 1998. View at Scopus
- S. S. Ge and J. Wang, “Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems,” IEEE Transactions on Neural Networks, vol. 13, no. 6, pp. 1409–1419, 2002. View at Publisher · View at Google Scholar · View at Scopus
- R. D. Nussbaum, “Some remarks on a conjecture in parameter adaptive control,” Systems and Control Letters, vol. 3, no. 5, pp. 243–246, 1983. View at Scopus
- K. Astrom and B. Wittenmark, Adaptive Control, Addison-Wesly, 2nd edition, 1995.
- S. Tong, C. Liu, and Y. Li, “Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties,” IEEE Transactions on Fuzzy Systems, vol. 18, no. 5, pp. 845–861, 2010. View at Publisher · View at Google Scholar · View at Scopus
- H. E. Psillakis, “Further results on the use of nussbaum gains in adaptive neural network control,” IEEE Transactions on Automatic Control, vol. 55, no. 12, pp. 2841–2846, 2010. View at Publisher · View at Google Scholar · View at Scopus
- A. Rincon, F. Angulo, and G. Osorio, “A robust state feedback adaptive controller with improved transient tracking error bounds for plants with unknown varying control gain,” in Applications of Nonlinear Control, chapter 5, pp. 79–98, INTECH, 2012.
- M. M. Polycarpou and P. A. Ioannou, “On the existence and uniqueness of solutions in adaptive control systems,” IEEE Transactions on Automatic Control, vol. 38, no. 3, pp. 474–479, 1993. View at Publisher · View at Google Scholar · View at Scopus
- J. Slotine and W. Li, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, NJ, USA, 1991.
- A. Leva, L. Piroddi, M. Di Felice, A. Boer, and R. Paganini, “Adaptive relay-based control of household freezers with on-off actuators,” Control Engineering Practice, vol. 18, no. 1, pp. 94–102, 2010. View at Publisher · View at Google Scholar · View at Scopus
- M. D. Felice, L. Piroddi, A. Leva, and A. Boer, “Adaptive temperature control of a household refrigerator,” in Proceedings of the American Control Conference (ACC '09), pp. 889–894, St. Louis, Mo, USA, June 2009. View at Publisher · View at Google Scholar · View at Scopus
- H. Royden, Real Analysis, Prentice Hall, Upper Saddle River, NJ, USA, 1988.
- P. Ioannou and J. Sun, Robust Adaptive Control, Prentice Hall, Upper Saddle River, NJ, USA, 1996.