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Chable, Stéphanie; Mahieu, Sébastien; Chiappa, Caroline

Design and optimisation of restricted complexity controller: a modal approach for reduced-order controllers. (English) Zbl 1293.93127

Eur. J. Control 9, No. 1, 39-47 (2003).
Summary: This article presents a new powerful design technique for reducing an initial high-order controller. For this, the initial closed-loop behavior is studied by modal analysis. Then, this behavior will be reproduced to a desired level of precision by redesigning the controller using the Robust Modal Control. The leading closed-loop eigenstructure of the system is assigned and the dynamic of the reduced-order controller is extracted from the relevant dynamic of the initial controller. This leads to a low-order controller, with a closed-loop behavior similar to the initial one.

Cited in 2 Documents

MSC:

93B11 System structure simplification
93B35 Sensitivity (robustness)
93B60 Eigenvalue problems

Keywords:

dominant eigenstructure; frequency constraint; reduced-order controller; robust modal control; time constraint

Software:

QDES; Robust Modal Control; RMCT
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\textit{S. Chable} et al., Eur. J. Control 9, No. 1, 39--47 (2003; Zbl 1293.93127)
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References:

[1] Webside:http://iawww.epfl.ch/news/EJC_benchmark.
[2] Alazard, D.; Apkarian, P., Exact observer based structures for arbitrary compensators, Int J robust nonlinear control, 9, 2, 101-118, (1999) · Zbl 0919.93015
[3] Anderson, B.D.O.; Liu, Y., Controller reduction: concepts and approaches, IEEE trans autom control, 34, 802-812, (1989) · Zbl 0698.93034
[4] Berstein, D.S.; Hyland, D.C., The optimal projection equations for fixed-order dynamic compensation, IEEE trans autom control, 1034-1037, (1985), AC-29: · Zbl 0555.93069
[5] Berstein, D.S.; Hyland, D.C., Optimal projection/maximum entropy stochastic modeling and reduced-order design synthesis, (1985), IFAC workshop on model errors and compensation Boston
[6] Boyd, S.P.; Barratt, C.H., Linear controller design. limits of performance, (1991), Prentice Hall Englewood Cliffs, NJ · Zbl 0748.93003
[7] Chiappa, C.; Magni, J.F.; Le Gorrec, Y., A modal multi- model approach for controller order reduction and structuration, () · Zbl 0900.93120
[8] Enns D. Model reduction for control system design. PhD thesis, Stanford University 1984.
[9] Enns, D., Model reduction with balanced realizations: an error bound and frequency weighted generalization, ()
[10] Ferreres, G.; Fromion, V., H∞ control for a flexible transmission system, Eur J control, 5, 2-4, 185-192, (1999)
[11] Gugercin, S.; Antoulas, A.C., A comparative study of 7 algorithms for model reduction, () · Zbl 1159.93318
[12] Karimi, A.; Landau, I.D., Controller order reduction by direct closed loop identification (output matching), (2000), 3rd Rocond IFAC Prague
[13] Landau, I.D.; Constantinescu, A.; Karimi, A., Direct controller order reduction by identification in closed loop applied to an active suspension, () · Zbl 1293.93128
[14] Landau, I.D.; Constentinescu, A.; Loubat, P.; Rey, D.; Franco, A., A methodology for the design of feedback active vibration control systems, (), 1571-1576
[15] Landau, I.D.; Karimi, A., A unified approach to closed- loop plant identification and controller reduction, (), 1780-1785
[16] Landau, I.D.; Karimi, A.; Constantinescu, A., Direct controller order reduction by identification in closed loop, Automatica, 37, 1689-1702, (2001) · Zbl 1013.93009
[17] Landau, I.D.; Loranzo, R.; M’Saad, M., Adaptative control, (1997), Springer London
[18] Liu, Y.; Anderson, B.D.O., Controller reduction via factorization and balancing, Int J control, 44, 2, 507-531, (1986) · Zbl 0604.93020
[19] Madelaine B. Determination d’un modele dynamique pertinent pour la commande: De la reduction a la construction. PhD thesis, ENSAE 1998.
[20] Madelaine, B.; Alazard, D., Flexible structure model construction for control system, (), 1165-1175
[21] Magni, J.F., Multimodel eigenstructure assignment in flight-control design, Aerospace sci technol, 3, 3, 141-151, (1999) · Zbl 0946.93507
[22] Magni, J.F., A toolbox for robust multi-model control design (rmct), ()
[23] Magni, J.F., Robust modal control with a toolbox for use with MATLAB, (2002), Kluwer Academic/Plenum Publishers Dordrecht
[24] Magni, J.F.; Chiappa, C.; Le Gorrec, Y., A multimodel based approach to robust and self-scheduled control design, (), 3009-3014
[25] Magni, J.F.; Le Gorrec, Y.; Chiappa, C.; Alazard, D., Flexible structure control by eigenstructure assignment, (), 99-104, vol. 2
[26] Skelton., R.E.; Hu, A., Modelreductionwithweightedmodal cost analysis, ()
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