H∞ model reduction of symmetric systems using LMIs

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 3412-3417

  Bai, Yuanqiang ^a   Grigoriadis, Karolos M ^b  

^a Sea Engineering Inc   (United States)

^b UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; LINEAR MATRIX INEQUALITIES; MATHEMATICAL MODELS; PARAMETERIZATION; STATE SPACE METHODS;

CONTROL SYNTHESIS; NON-CONVEX CONSTRAINT SETS; REDUCED-ORDER MODELS;

SYSTEMS ANALYSIS;

EID: 39649086023     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. B.D.O Anderson, S. Vongpanitlerd, Network Analysis and Synthesis: A Modern systems Theory Approach (Prentice-Hall, Englewood Cliffs, NJ, 1973).
2. S. Kodama and N. Suda, Matrix Theory for System Control (Tokyo, Japan: Corona, 1978).
3. K. Zhou, J. C. Doyle and K. Glover, Robust and Optimal Control (Prentice. Hall, Upper Saddle River, Mew Jersey, USA, 1995).
4. J.C Willems, Realization of System with Internal Passivity and Symmetry Constraints, J. of Frank. Inst. 301, 1976, 605-621.
5. W. Q. Liu, V. Sreeram and K. L. Teo, Model Reduction, for State-Space Symmetric Systems, Systems & Control Letters, vol 34, 1998, 209-215.
6. R. Cogill, S. Lall, and P.A. Parfilo, On Structured Semidefinite Programs for the Control of Symmetric Systems, Proceedings of the 2008 Allerton Conference on Communication, Control, and Computing, Monticello, IL, October 2003.
7. S. Skogestad and I. Postlethwaite, Multivariable Feedback Control (John Wiley & Sons, England, 1996).
8. ∞ Model Reduction, IEEE Transactions on Automatic Control, vol. 39, No, 7, 1994.
9. ∞ Suboptimal Model Reduction for Singular Systems, Proceeding of the 2004 American Control Conference, Boston, Massachusetts, 2004.
10. ∞ Model Reduction Using LMIs, IEEE Transactions on Automatic Control, vol. 49, No. 7, July 2004.
11. K. Grigoriadis and R. Skelton, Alternating Convex Projection Methods, for Covariance Control Design, International Journal of Control, vol. 60, 1994, 1083-1106.
12. S. Gugercin and A. C. Antoulas, A Comparative Study of 7 Algorithms, for Model Reduction, Decision and Control, 2000. Proceedings of the 39th IEEE Conference on, Volume 3, 12-15 Dec. 2000 vol.3, 2367 -2372.
13. M. G. Safonov, R. Y. Chiang and D. J. N. Limebeer, Optimal Hankel Model Reduction for Nomninimal Systems, IEEE Transactions on Automatic Control, vol. 35, No. 4, April 1990.
14. C. P. Therapos, Balancing Transformations for Unstable Nonminimal Linear Systems, IEEE Transactions on Automatic Control, vol. 34, No. 4, April 1989.
15. R. E. Skelton, T. Iwasaki and K. Grigoriadis, A Unified Algebraic Approach to Linear Control Design (Taylor & Francis, London, 1998).
16. ∞ Control of Symmetric Systems: An Explicit Solution, Systems & Control Letters, vol. 44, 2001, 57-72.
17. ∞ Model Reduction Via Linear Matrix Inequalities: Continuous- and Discrete-time Cases", Systems & Control Letters, vol. 26, 1995, 321-333.
18. ∞ Control Problem: LMI Existence Conditions and State Space Formulas", Automatica, vol. 30, No. 8, 1994, 1307-1317.
19. ∞ Synthesis, Automatica, vol. 32, No. 7, 1996, 1007-1014.