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Title: Robust and nonrobust tracking (English)
Author: Štecha, Jan
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 34
Issue: 2
Year: 1998
Pages: [203]-216
Summary lang: English
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Category: math
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Summary: For zero steady state tracking error it is necessary to include $n$ integrators in the control loop in the case of reference signal generated by $n$ integrators. This result can be generalized to arbitrary $n$ unstable modes of the reference generator according to the “internal model principle”. This paper shows an alternative solution of the asymptotic reference signal tracking problem using feedforward. The solution is not robust but gives a feedback controller with reduced complexity. Robust tracking structure with error driven controller and nonrobust control structure with feedforward are also compared with respect to quadratic criteria. The alternative solution with feedforward is not asymptoticaly robust but sometimes gives better performance with respect to quadratic criteria. (English)
Keyword: signal tracking problem
Keyword: feedback structure
Keyword: feedforward control
Keyword: robust tracking
MSC: 93B35
MSC: 93C05
idZBL: Zbl 1274.93068
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Date available: 2009-09-24T19:15:24Z
Last updated: 2015-03-28
Stable URL: http://hdl.handle.net/10338.dmlcz/135200
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Reference: [1] Kučera V.: Discrete Linear Control: The Polynomial Equation Approach.Wiley, Chichester 1979 Zbl 0432.93001, MR 0573447
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Reference: [3] Neuman P., Husták P., Štecha J., Havlena V.: State controller/observer design for superheater temperature control.In: Proceedings of the 4th IFAC Symposium CADCS’88, Beijing 1988, pp. 168–174
Reference: [4] Štecha J., Havlena V.: Internal model principle and asymptotic reference signal tracking.In: Proceedings of the Cairo Third IASTED International Conference Computer Applications in Industry, Cairo 1994, pp. 107–110
Reference: [5] Štecha J., Kraus F.: Robustness versus control quality in asymptotic reference tracking.In: Proceedings of the Fifteenth IASTED International Conference “Modelling, Identification and Control”, Innsbruck 1996, pp. 292–294
Reference: [6] Vidyasagar M.: Control System Synthesis: A Factorization Approach.MIT Press, Cambridge, MA 1987 Zbl 0655.93001, MR 0787045
Reference: [7] Kučera V.: Analysis and Design of Discrete Linear Control Systems.Academia, Prague 1991 Zbl 0762.93060, MR 1182311
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