LMI based tracking guaranteed cost control

2006 IEEE International Conference on Mechatronics and Automation, ICMA 2006

Volumn 2006, Issue , 2006, Pages 1037-1042

  Xu, Jiansheng ^a   Wang, Yongji ^a   Wu, Hao ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Guaranteed cost control; Linear matrix inequality (LMI); Robust control; Tracking control

Indexed keywords

ATTITUDE CONTROL; CLOSED LOOP SYSTEMS; CONTROL EQUIPMENT; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; MISSILES; ROBUST CONTROL; UNCERTAIN SYSTEMS;

COST CONTROLLERS; GUARANTEED COST CONTROL; STATE FEEDBACK TRACKING CONTROL LAWS; TRACKING CONTROL;

COST FUNCTIONS;

EID: 34247262008     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICMA.2006.257768     Document Type: Conference Paper

References (20)

1. Zames G., "Feedback and optimal sensitivity model reference transformations, multi-plicative seminorms and approximate inverse," IEEE Transactions on Automatic Control, vol. 26, no. 4, pp. 301-320, 1981.
2. Doyle, J. C., Glover, K., Khargonekar, P. P., Francis, B., "State space solutions to the standard H2 and H ∞ control problems," IEEE Transactions on Automatic Control, vol. 34, no. 8, pp. 831-847, 1989.
3. Peres, P. L. D., Geromel, J. C., Souza, S. R., "Optimal H∞ state feedback control for continuous-time linear systems," Journal of Optimization Theory and Applications, vol. 82, no. 2, pp. 343-359, 1994.
4. Zhou, K., Glover, K., Doyle, J. C. "Robust and optimal control," Upper Saddle River, NJ, USA: Prentice Hall, 1996.
5. Geromel, J. C., Peres, P. L. D., & Souza, S. R. "H∞ guaranteed cost control for uncertain discrete-time linear systems". IEEE Transactions on Automatic Control, vol. 39, no. 5, pp. 1072-1075. 1994.
6. Palhares, R. M., Takahashi, R. H. C., Peres, P. L. D. "H∞ and H2 guaranteed costs computation for uncertain linear systems," International Journal of Systems Science, vol. 28, no. 2, pp. 183-188, 1997.
7. Chang S. S. L., Peng T. K. C., "Adaptive guaranteed cost control of systems with uncertain parameters," IEEE Transactions on Automatic Control, vol. 17, no. 4, pp. 474-483, 1972.
8. th World Congress on Intelligent Control and Automation, June 15-19, 2004, Hangzhou, P.R. China: pp. 553-557
9. L. Yu, F. Gao, "Optimal guaranteed cost control of discrete-time uncertain systems with both state and input delays," Journal of the Franklin Institute, vol 338, pp. 101-110, 2001.
10. L. Yu, J. Chu, "An LMI approach to guaranteed cost control of linear uncertain time-delay systems," Automatica, vol. 35, pp. 1155-1159, 1999.
11. L. Yu, and F. Gao, "Output feedback guaranteed cost control for uncertain discrete-time systems using linear matrix inequalities," Journal of Optimization Theory and Applications, vol. 113, pp. 621-634, 2002.
12. th Mediterranean Conference on Control and Automation, Limassol, Cyprus, June 27-29, 2005, pp. 1286-1291
13. Hiroaki Mukaidani. "The guaranteed cost control problem of uncertain singularly perturbed systems," Journal of Mathematical Analysis and Applications, vol. 251, pp. 716-735, 2000.
14. E. Devaud, H. Siguerdidjane, S. Eont, "Some control strategies for a high-angle-of-attack missile autopilot," Control Engineering Practice, vol. 8, pp. 885-892, 2000.
15. T. G.. Lee and Y. D. Kim, "Nonlinear adaptive flight control using backstepping and neural networks controller," Journal of Guidance, Control, and Dynamics, vol. 24, no. 4, pp. 675-682, 2000.
16. M. U. Salamci, and M. K. Ozgoren, "Sliding made control with optimal sliding surfaces for missile autopilot design," Journal of Guidance, control and Dynamics, vol. 23, no. 4, pp. 719-727, 2001.
17. W. Y. Wang, M. L. Chan, and C. C. James, "H indefinite tracking-based sliding mode control for uncertain nonlinear systems via an adaptive fuzzy-neural approach," IEEE Transactions on Systems, Man, and Cybernetics, vol. 32, no. 4, pp. 483-492, 2002
18. Y. Q. Jin, Y. A. Hu, G Q. Liang, "Design of nonlinear missile backstepping controller based on RBF neural networks," Journal of Projectiles, Rockets, missiles and Guidance, vol. 22, no. 2, pp. 84-88, 2002.
19. L. Yu, "Optimal guaranteed cost control of Linear uncertain system: an LMI approach," Control theory and applications, vol. 17, pp. 423-428, 2000.
20. Gary Balas, Richard Chiang, Andy Packard, Michael Safonov, "Robust control toolbox user's guide (Version 3.0.2)," www.mathworks.com.