Controller order reduction by identification in closed-loop applied to a benchmark problem. (English) Zbl 1293.93128

Summary: The paper presents a methodology for the design of reduced order controllers applied to a benchmark problem focused on “Design and optimisation of restricted complexity controllers” and related to the control of an active suspension. The key point of the methodology is the estimation in closed-loop of a reduced order controller once a nominal controller and a plant model are available. The application emphasizes the importance of the identification in closed-loop for obtaining improved models to be used both for nominal controller redesign and controller reduction. Furthermore for this specific application, the reduction of the identified plant model appears to be a useful step for an initial reduction of the nominal designed controller. Experimental results illustrate the capability of the proposed methodology.


93B11 System structure simplification
93B30 System identification
Full Text: DOI


[1] Design and optimization of restricted complexity controllers - benchmark. http://iawww.epfl.ch/News/EJC_Benchmark/, 2002
[2] Anderson, B.D.O., Controller design: moving from theory to practice, IEEE control magazine, 13, 16-25, (1993)
[3] Anderson, B.D.O.; Liu, Y., Controller reduction: concepts and approaches, IEEE trans AC, 34, 8, 802-812, (1989) · Zbl 0698.93034
[4] Cordons, B.; Bendotti, P.; Falinower, P.; Gevers, M., A comparison between model reduction and controller reduction: application to a pwr nuclear plant, Ieee cdc, 1, 4625-4630, (1998), IX
[5] Landau, I.D.; Lozano, R.; M’Saad, M., Adaptive control, (1997), Springer London · Zbl 0885.93003
[6] Landau, I.D.; Karimi, A.; Constantinescu, A., Direct controller order reduction by identification in closed loop, Automatica, 37, 1689-1702, (2001) · Zbl 1013.93009
[7] Landau, I.D.; Rey, D.; Karimi, A.; Voda, A.; Franco, A., A flexible transmission system as a benchmark for robust digital control, Eur J control, 1, 2, 77-96, (1995)
[8] Landau, I.D.; Karimi, A., Recursive algorithms for identification in closed loop: a unified approach and evaluation, Automatica, 33, 8, 1499-1523, (1997) · Zbl 0883.93018
[9] Landau, I.D.; Karimi, A., A unified approach to model estimation and controller reduction (duality and coherence), Eur J control, 8, 6, (2002) · Zbl 1293.93753
[10] Landau, I.D.; Karimi, A.; De Bruyne, F., “discussion on analysis of closed-loop identification with a tailor made parameterization”. in: Van donkelaar ET, Van den hof PMJ (eds), Eur J control, 6, 1, 62-67, (2000)
[11] Langer, J.; Landau, I.D., Combined pole placement/sensitivity function shaping method using convex optimization criteria, Automatica, 35, 1111-1120, (1999) · Zbl 0949.93512
[12] Ljung, L., System identification - theory for the user, (1999), Prentice Hall Englewood Cliffs
[13] Van Donkelaar, E.T.; Van den Hof, P.M.J., Analysis of closed-loop identification with a tailor-made parameterization, Eur J control, 6, 1, 54-62, (2000) · Zbl 1167.93332
[14] Zhou, K.; Doyle, J., Essentials of robust control, (1998), Prentice Hall New York
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.