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Title: A feedforward compensation scheme for perfect decoupling of measurable input functions (English)
Author: Marro, Giovanni
Author: Ntogramatzidis, Lorenzo
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 41
Issue: 1
Year: 2005
Pages: [75]-84
Summary lang: English
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Category: math
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Summary: In this paper the exact decoupling problem of signals that are accessible for measurement is investigated. Exploiting the tools and the procedures of the geometric approach, the structure of a feedforward compensator is derived that, cascaded to a linear dynamical system and taking the measurable signal as input, provides the control law that solves the decoupling problem and ensures the internal stability of the overall system. (English)
Keyword: geometric control theory
Keyword: disturbance decoupling
Keyword: measurable input functions
Keyword: model matching
Keyword: unknown input observation
MSC: 93B27
MSC: 93C05
MSC: 93C35
MSC: 93D15
idZBL: Zbl 1249.93045
idMR: MR2131126
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Date available: 2009-09-24T20:07:01Z
Last updated: 2015-03-23
Stable URL: http://hdl.handle.net/10338.dmlcz/135640
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Reference: [1] Barbagli F., Marro, G., Prattichizzo D.: Previewed signal decoupling problem in discrete-time systems.In: Proc. 14th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2000), Perpignan 2000
Reference: [2] Basile G., Marro G.: Self-bounded controlled invariant subspaces: a straightforward approach to constrained controllability.J. Optim. Theory Appl. 38 (1982), 1, 71–81 Zbl 0471.93008, MR 0687139, 10.1007/BF00934323
Reference: [3] Basile G., Marro G.: Controlled and Conditioned Invariants in Linear System Theory.Prentice Hall, Englewood Cliffs, NJy 1992 Zbl 0758.93002, MR 1149379
Reference: [4] Basile G., Marro, G., Piazzi A.: A new solution to the disturbance localization problem with stability and its dual.In: Proc. ’84 International AMSE Conference on Modelling and Simulation, Vol. 1.2, Athens 1984, pp. 19–27
Reference: [5] Bhattacharyya S. P.: Disturbance rejection in linear systems.Internat. J. Systems Sci. 5 (1974), 7, 931–943 Zbl 0295.93003, MR 0363580
Reference: [6] Marro G., Ntogramatzidis L.: A feedforward compensation scheme for perfect decoupling of measurable signals.In: Proc. 7th WSEAS CSCC International Multiconference (CSCC03), Corfu 2003
Reference: [7] Marro G., Prattichizzo, D., Zattoni E.: A unified algorithmic setting for signal-decoupling compensators and unknown input observers.In: Proc. 39th IEEE Conference on Decision and Control (CDC 2000), Sydney 2000
Reference: [8] Marro G., Zattoni E.: Feedforward and feedback model matching with stability in a unified geometric context.In: Proc. 41st IEEE Conference on Decision and Control (CDC2002), Las Vegas 2002
Reference: [9] Schumacher J. M.: On a conjecture of Basile and Marro.J. Optim. Theory Appl. 41 (1983), 2, 371–376 Zbl 0517.93009, MR 0720781
Reference: [10] Trentelman H. L., Stoorvogel A. A., Hautus M.: Control Theory for Linear Systems.Springer (Communications and Control Engineering), 2001 Zbl 0963.93004, MR 1851149
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