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Pole placement in a union of regions with prespecified subregion allocation

Author

Listed:
  • Maamri, N.
  • Bachelier, O.
  • Mehdi, D.

Abstract

This paper proposes a method to compute a static state feedback control law which achieves a non-strict pole assignment. The specification on the closed-loop poles is given in terms of a clustering region. The originality of this work is the choice of the region which can result from the union of disjoint and non-symmetric subregions. Such a choice is made possible by a technique that enables a partial pole placement via aggregation. The distribution of poles in various subregions can be chosen. The proposed conditions are formulated through an LMI approach and some robustness aspects are also considered from an analytical point of view.

Suggested Citation

  • Maamri, N. & Bachelier, O. & Mehdi, D., 2006. "Pole placement in a union of regions with prespecified subregion allocation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(1), pages 38-46.
    • Handle: RePEc:eee:matcom:v:72:y:2006:i:1:p:38-46
    DOI: 10.1016/j.matcom.2006.03.004
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    Cited by:

    1. Pozna, Claudiu & Troester, Fritz & Precup, Radu-Emil & Tar, József K. & Preitl, Stefan, 2009. "On the design of an obstacle avoiding trajectory: Method and simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2211-2226.
    2. Sari, B. & Bachelier, O. & Bosche, J. & Maamri, N. & Mehdi, D., 2011. "Pole placement in non connected regions for descriptor models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(12), pages 2617-2631.

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