Structured coprime factor model reduction based on LMIs

Automatica

Volumn 41, Issue 1, 2005, Pages 145-151

  Li, Li ^a   Paganini, Fernando ^a  

^a Engineering IV   (United States)

Author keywords

Algebraic Riccati inequality; Coprime factorization; Linear matrix inequality (LMI); Model reduction; Structure preserving

Indexed keywords

BOUNDARY CONDITIONS; HEURISTIC METHODS; LYAPUNOV METHODS; MATHEMATICAL MODELS; RICCATI EQUATIONS; TOPOLOGY;

ALGEBRAIC RICCATI INEQUALITY; COPRIME FACTORIZATION; LINEAR MATRIX INEQUALITY (LMI); MODEL REDUCTION; STRUCTURE PRESERVING;

MATRIX ALGEBRA;

EID: 9644310354     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.09.003     Document Type: Article

References (19)

1. Anderson, B. D. O., & Liu, Y. (1989). Controller reduction: concepts and approaches. IEEE Transactions on Automatic Control, 34, 802-812.
2. Beck, C. L., Doyle, J. C., & Glover, K. (1996). Model reduction of multi-dimensional and uncertain systems. IEEE Transactions on Automatic Control, 41, 1466-1477.
3. Beck, C. L., & Bendottii, P., (1997). Model reduction methods for unstable uncertain systems. In Proceedings of 1997 CDC, pp. 3298-3303.
4. Dullerud, G. E., & Paganini, F. (2000). A course in robust control theory: a convex approach. New York: Springer.
5. El-Zobaidi, H., & Jaimoukha, I. (1998). Robust control and model and controller reduction of linear parameter varying system. In Proceedings of 1998 CDC, pp. 3015-3020.
6. Enns, D. F., (1984). Model reduction with balanced realizations: an error bound and frequency weighted generalization. In Proceedings of 1984 CDC, pp. 802-812.
7. Georgiou, T., & Smith, M. (1990). Optimal robustness in the gap metric. IEEE Transactions on Automatic Control, 35, 673-686.
8. ∞ error bounds. International Journal of Control, 39, 1115-1193.
9. Li, L., & Paganini, F. (2002). LMI approach to structured model reduction via coprime factorizations. In Proceedings of 2002 ACC, pp. 1174-1179.
10. Li, L., & Paganini, F. (2003). Structured frequency weighted model reduction. In Proceedings of 2003 CDC, pp. 2841-2846.
11. Liu, Y., & Anderson, B. D. O. (1986). Controller reduction via stable factorization and balancing. International Journal of Control, 44, 507-531.
12. McFarlane, D. C., & Glover, K. (1990). Robust controller design using normalized coprime factor plant descriptions. Berlin, New York: Springer.
13. Meyer, D. G. (1990). Fractional balanced reduction: model reduction via fractional representation. IEEE Transactions on Automatic Control, 35, 1341-1345.
14. Moore, B. C. (1981). Principal component analysis in linear systems: controllability, observablity, and model reduction. IEEE Transactions on Automatic Control, 26, 17-32.
15. Tsai, Y. K., Narasimhamurthi, N., & Wu, F. F. (1982). Structure-preserving model reduction with applications to power system dynamic equivalents. IEEE Transactions on Circuits and Systems, CAS-29, 525-535.
16. Vinnicombe, G. (1993). Frequency domain uncertainty and the graph topology. IEEE Transactions on Automatic Control, 38, 1371-1383.
17. Wood, G. D., Goddard, P. J., & Glover, K. (1996). Approximation of linear parameter-varying systems. In Proceedings of 1996 CDC, pp. 406-411.
18. Zhou, K., D'Souza, C., & Cloutier, J. R. (1995). Structurally balanced controller order reduction with guaranteed closed loop performance. Systems and Control Letters, 24, 235-242.
19. Zhou, K., Doyle, J. C., & Glover, K. (1996). Robust and optimal control Upper Saddle River, NJ: Prentice-Hall.