Synthesis of low-order controllers for LPV systems using LMIs and evolutionary search

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 5784-5789

  Chughtai, Saulat S ^a   Werner, Herbert ^a  

^a HAMBURG UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GENETIC ALGORITHMS; LINEAR MATRIX INEQUALITIES; PARAMETER ESTIMATION; SYSTEM STABILITY;

LINEAR PARAMETER-VARYING (LPV); QUADRATIC SEPARATORS;

LINEAR CONTROL SYSTEMS;

EID: 34547294789     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376727     Document Type: Conference Paper

References (11)

1. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.
2. R. Skelton, T. Iwasaki, and K. Grigoriadis, A Unified Algebraic Approach to Linear Control Design, Taylor & Francis Ltd, London, 1998.
3. R Apkairan and R. Adams, Chapter 11: Advances in Linear matrix Inequality Methods in Control, Advances in Design and Control. SIAM, Philadelphia, PA, USA, 2000.
4. T. Iwasaki and G. Shibata, "LPV system analysis via quadratic separator for uncertain implicit systems," IEEE Transactions on Automatic Control, vol. 46, no. 8, pp. 1195-1208, 2001.
5. A. Farag and H. Werner, "Robust control of a class of LPV systems - a hybrid evolutionary-algebraic approach," in CACSD 2006, 2006, Submitted.
6. A. Farag and H. Werner, "A Riccati - genetic algorithms approach to fixed-structure controller synthesis," in Proc. 2004 American Control Conference, 2004.
7. L. Keel, S. Bhattacharyya, and J. Howze, "Robust Control with Structured Perturbations," IEEE Trans. Automatic Control, vol. 33, no. 1, pp. 68-78, 1988.
8. G. Balas, J. Doyle, K. Glover, A. Packard, and R. Smith, μ-Analysis and Synthesis Toolbox, The MathWorks, fourth edition edition, 2001.
9. ∞ control of linear parameter-varying systems: a design example," Automatica, vol. 31, no. 9, pp. 1251-1261, 1995.
10. ∞ controllers," IEEE Transactions on Automatic Control, vol. 40, pp. 853-864, 1995.
11. A. Kwiatkowski, J. Blath, H. Werner, and M. Schultalbers, "Application of LPV gain scheduling to charge control of a SI engines," in Proc. of IEEE International Symposium on Computer-Aided Control Systems Design, 2006.