| Title: | Some remarks on the problem of model matching by state feedback (English) | 
| Author: | Torres-Muñoz, J. A. | 
| Author: | Zagalak, Petr | 
| Author: | Duarte-Mermoud, Manuel A. | 
| Language: | English | 
| Journal: | Kybernetika | 
| ISSN: | 0023-5954 | 
| Volume: | 41 | 
| Issue: | 1 | 
| Year: | 2005 | 
| Pages: | [47]-58 | 
| Summary lang: | English | 
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| Category: | math | 
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| Summary: | The problem of model matching by state feedback is reconsidered and some of the latest results are discussed. (English) | 
| Keyword: | linear systems | 
| Keyword: | model matching | 
| Keyword: | state feedback | 
| Keyword: | dynamic compensation | 
| MSC: | 93A30 | 
| MSC: | 93B25 | 
| MSC: | 93B52 | 
| MSC: | 93C05 | 
| MSC: | 93C40 | 
| MSC: | 93C45 | 
| idZBL: | Zbl 1249.93080 | 
| idMR: | MR2131124 | 
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| Date available: | 2009-09-24T20:06:46Z | 
| Last updated: | 2015-03-23 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/135638 | 
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| Reference: | [1] Furhmann P. A., Willems J. C.: The factorization indices for rational matrix functions.Integral Equations Operator Theory 2 (1979), 281–301 | 
| Reference: | [2] Hautus M. L. J., Heymann M.: Linear feedback.An algebraic approach. SIAM J. Control Optim. 16 (1978), 83–105 Zbl 0385.93015, MR 0476024, 10.1137/0316007 | 
| Reference: | [3] Herrera A. N., Lafay J.-F., Zagalak P.: The extended interactor in the study of non-regular control problems.In: Proc. 30th Conference on Decision and Control, IEEE, Brighton 1991, pp. 373–377 | 
| Reference: | [4] Kailath T.: Linear Systems Theory.Prentice Hall, Englewood Cliffs, NJ 1980 MR 0569473 | 
| Reference: | [5] Kučera V.: Analysis and Design of Discrete Linear Control Systems.Prentice Hall International, London 1992 Zbl 0762.93060, MR 1182311 | 
| Reference: | [6] Lafay J.-F., Zagalak, P., Herrera A. N.: Reduced form of the interactor matrix.IEEE Trans. Automat. Control AC-37 (1992), 11, 1778–1782 Zbl 0778.93034, MR 1195221, 10.1109/9.173150 | 
| Reference: | [7] Malabre M., Kučera V.: Infinite zero structure and exact model matching problem: A geometric approach.IEEE Trans. Automat. Control AC-29 (1984), 266–268 10.1109/TAC.1984.1103502 | 
| Reference: | [8] Morse A. S.: Structural invariants of multivariable systems.SIAM J. Control Optim. 11 (1973), 446–465 MR 0386762, 10.1137/0311037 | 
| Reference: | [9] Morse A. S.: Structure and design of linear model following systems.IEEE Trans. Automat. Control AC-18 (1973), 346–354 Zbl 0264.93005, MR 0452941, 10.1109/TAC.1973.1100342 | 
| Reference: | [10] Morse A. S.: Systems invariants under feedback and cascade control.In: Proc. Internat. Symposium on Mathematical System Theory, Udine 1975, pp. 61–74 MR 0688151 | 
| Reference: | [11] Moore B. C., Silvermann M.: Model matching by state feedback and dynamic compensation.IEEE Trans. Automat. Control AC-17 (1972), 491–497 10.1109/TAC.1972.1100032 | 
| Reference: | [12] Pernebo L.: An algabraic theory for The desgin of controllers for multivariable systems.Part II: Feedback realization and feedback design. IEEE Trans. Automat. Control AC-26 (1981), 183–194 MR 0609259, 10.1109/TAC.1981.1102553 | 
| Reference: | [13] Torres J., Zagalak P.: A note on model matching by state feedback.Preprints 2nd IFAC Conference on System Structure and Control, ECN de Nantes, Nantes 1998, pp. 191–195 | 
| Reference: | [14] Verghese G., Kailath T.: Rational matrix structure.IEEE Trans. Automat. Control 26 (1981), 434–439 Zbl 0475.93032, MR 0613549, 10.1109/TAC.1981.1102593 | 
| Reference: | [15] Vidyasagar M.: Control System Synthesis: A Factorization Approach.MIT Press, Cambridge MA 1985 Zbl 0655.93001, MR 0787045 | 
| Reference: | [16] Wolovich W. A.: The use of state feedback for exact model matching.SIAM J. Control Optim. 10 (1972), 512–523 Zbl 0241.93008, MR 0317811, 10.1137/0310039 | 
| Reference: | [17] Wolovich W. A., Falb P.: Invariants and canonical form under dynamic compensation.SIAM J. Control Optim. 14 (1976), 996–1008 MR 0424306, 10.1137/0314063 | 
| Reference: | [18] Zagalak P., Lafay J.-F., Herrera-Hernandez A. N.: The row-by-row decoupling via state feedback: A polynomial approach.Automatica 29 (1993), 1491–1499 Zbl 0790.93075, MR 1252965, 10.1016/0005-1098(93)90012-I | 
| Reference: | [19] Zagalak P., Torres J.: Model matching by state feedback.In: 5th Workshop on Nonlinear, Adaptive and Linear Systems, CINVESTAV del IPN, Mexico D. F. 1998, p. 21 | 
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