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Pole assignment of multivariable systems using proportional-derivative state feedback

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  • Taha H. S. Abdelaziz

Abstract

In this article, the parametric solution to the pole assignment problem for multivariable linear time-invariant systems controlled by proportional-derivative (PD) state feedback is developed. The new expressions for the PD gain controllers are derived which describe the available degrees of freedom offered by PD state feedback. The freedom provided by PD state gain matrices is utilised to obtain closed-loop systems with robust and small gain matrices. Two computational algorithms are introduced, and their effectiveness is demonstrated by two simulation examples.

Suggested Citation

  • Taha H. S. Abdelaziz, 2017. "Pole assignment of multivariable systems using proportional-derivative state feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2871-2886, October.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2871-2886
    DOI: 10.1080/00207721.2017.1359349
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    References listed on IDEAS

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    1. Junchao Ren & Qingling Zhang, 2013. "Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 450-460.
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