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Partial eigenstructure assignment problem and its application to the constrained linear problem

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  • A. Baddou
  • H. Maarouf
  • A. Benzaouia

Abstract

This article presents a new partial eigenstructure assignment method. This technique keeps the open-loop stable eigenvalues and the corresponding eigenspace unchanged. The remaining undesirable eigenvalues are replaced by other chosen values. This methodology is easy and permits to overcome some limitations encountered in the previous methods. Furthermore, our method is applied to solve the constrained control problem for linear invariants continuous-time systems. Indeed, the problem of finding a stabilising regulator matrix gain taking into account the asymmetrical control constraints is transformed to a Sylvester equation resolution. Examples are given to illustrate the obtained results.

Suggested Citation

  • A. Baddou & H. Maarouf & A. Benzaouia, 2013. "Partial eigenstructure assignment problem and its application to the constrained linear problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 908-915.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:908-915
    DOI: 10.1080/00207721.2011.649364
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    Cited by:

    1. Da-Ke Gu & Zhi-Jing Guo & Rui-Yuan Wang & Yin-Dong Liu, 2023. "Partial Eigenstructure Assignment for Linear Time-Invariant Systems via Dynamic Compensator," Mathematics, MDPI, vol. 11(13), pages 1-19, June.

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