H∞ model reduction of linear continuous-time systems over finite-frequency interval

IET Control Theory and Applications

Volumn 4, Issue 3, 2010, Pages 499-508

  Du, X ^a,b   Yang, G H ^a,b  

^a NORTHEASTERN UNIVERSITY   (China)

^b KEY LABORATORY OF INTEGRATED AUTOMATION OF PROCESS INDUSTRY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EXISTING METHOD; FREQUENCY INTERVALS; GKYP LEMMA; KALMAN-YAKUBOVICH-POPOV; LINEAR CONTINUOUS-TIME SYSTEM; MODEL REDUCTION; MODEL REDUCTION PROBLEMS; NUMERICAL EXAMPLE; SUFFICIENT CONDITIONS;

LINEAR MATRIX INEQUALITIES; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS;

CONTINUOUS TIME SYSTEMS;

EID: 77749249136     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2008.0537     Document Type: Article

References (29)

1. Zhou, K., Doyle, J.C., and Glover, K.: ' Robust and optimal control ', (Prentice-Hall, Upper Saddle River, NJ, 1996)
2. Obinata, G., and Anderson, B.D.O.: ' Model reduction for control system design ', (Springer-Verlag, London, UK, 2001)
3. Moore, B.: ' Principal component analysis in linear systems: controllability, observability, and model reduction ', IEEE Trans. Autom. Control, 1981, 26, (1), p. 17-32 0018-9286
4. ∞ error bounds ', Int. J. Control, 1984, 39, (6), p. 1115-1195 0020-7179
5. Enns, D.F.: ' Model reduction with balanced realizations: an error bound and a frequency weighted generalization ', Proc. 23rd IEEE Conf. on Decision Control, Minneapolis, 1984, p. 127-132
6. Al-Saggaf, U.M., and Franklin, G.F.: ' Model reduction via balanced realization: an extension and freqeuency weighted techniques ', IEEE Trans. Autom. Control, 1998, 33, (7), p. 687-692 0018-9286
7. Lin, C.A., and Chiu, T.Y.: ' Model reduction via frequency weighted balanced realization ', Control-Theory Adv. Technol., 1992, 8, p. 341-451
8. ∞ norm and optimal Hankel norm model reduction ', IEEE Trans. Autom. Control, 1995, 40, (10), p. 1687-1699 0018-9286
9. Wang, G., Sreeram, V., and Liu, W.Q.: ' A new frequency-weighted balanced truncation method and an error bound ', IEEE Trans. Autom. Control, 1999, 44, (9), p. 1734-1737 0018-9286
10. Scorletti, G., Rossignol, L., and Fromion, V.: ' Frequency dependent model phase reduction using convex optimization ', Proc. 43rd IEEE Conf. on Decision Control, Bahamas, 2004, p. 3090-3095
11. Sreeram, V., and Ghafoor, A.: ' Frequency weighted model=reduction technique with error bounds ', Proc. American Control Conf., Portland, USA, 2005, p. 1569-1574
12. Oh, D.C., and Kim, J.H.: ' A simple frequency weighted model reduction using structurally balanced truncation: existence of solution ', Int. J. Control, 2002, 75, (15), p. 1190-1195 0020-7179
13. Varga, A., and Anderson, B.D.O.: ' Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction ', Automatica, 2003, 39, (5), p. 919-927 0005-1098
14. 2 model reduction of discrete-time systems ', Optim. Control Appl. Methods, 1998, 19, (3), p. 147-167 0143-2087 (Pubitemid 128467240)
15. Sandberg, H., and Murray, R.M.: ' Frequency-weighted model reduction with applications to structured models ', Proc. American Control Conf., New York, USA, 2007, p. 941-946
16. Sandberg, H., Lanzon, A., and Anderson, B.D.O.: ' Model approximation using magnitude and phase criteria: implication for model reduction and system identification ', Int. J. Robust Nonlinear Control, 2007, 17, (5-6), p. 435-461 1049-8923
17. Gugercin, S., and Antoulas, A.C.: ' A survey of model reduction by balanced truncation and some new results ', Int. J. Control, 2004, 77, (8), p. 748-766 0020-7179
18. Gawronski, W., and Juang, J.N.: ' Model reduction in limited time and frequency intervals ', Int. J. Syst. Sci., 1990, 21, (2), p. 349-376 0020-7721
19. Wang, D., and Zilouchian, A.: ' Model reduction of discrete linear systems via frequency-domain balanced structure ', IEEE Trans. Circuits Syst. I, 2000, 47, (6), p. 830-837 1057-7122
20. Aghaee, P.K., Zilouchian, A., Nike-Ravesh, S., and Zadegan, A.H.: ' Principle of frequency-domain balanced structure in linear systems and model reduction ', Comput. Electr. Eng., 2003, 29, (3), p. 463-477
21. Zadegan, A.H., and Zilouchian, A.: ' Model reduction of large-scale discrete plants with specified frequency domain balanced structure ', ASME J. Dyn. Syst. Meas. Control, 2005, 127, (3), p. 486-498
22. Ghafoor, A., and Sreeram, V.: ' Model reduction via limited frequency interval gramians ', IEEE Trans. Circuits Syst. I, 2008, 55, (9), p. 2806-2812 1057-7122
23. Aldhaheri, R.W.: ' Frequency-domain model reduction approach to design IIR digital filters using orthonormal bases ', Int. J. Electron. Commun., 2006, 60, (6), p. 413-420
24. Iwasaki, T., and Hara, S.: ' Generalized KYP lemma: unified frequency domain inequalities with design applications ', IEEE Trans. Autom. Control, 2005, 50, (1), p. 41-59 0018-9286
25. Iwasaki, T., and Hara, S.: ' Robust control synthesis with general frequency domain specifications: static gain feedback case ', Proc. American Control Conf., Boston, Massachusetts, 2004, p. 4613-4618
26. Iwasaki, T., and Hara, S.: ' Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma ', Int. J. Robust Nonlinear Control, 2007, 17, (5-6), p. 415-434 1049-8923
27. ∞ control ', Int. J. Robust Nonlinear Control, 1994, 4, (4), p. 421-448 1049-8923
28. Gahinet, P., Nemirovski, A., Laub, A.J., and Chilali, M.: ' LMI control toolbox ', (The Mathworks, Natick, MA, 1995)
29. Anderson, B.D.O.: ' Weighted Hankel-norm approximation: calculation of bounds ', Syst. Control. Lett., 1986, 7, (4), p. 247-255 0167-6911