Pole assignment of multivariable systems using proportional-derivative state feedback

Taha H. S. Abdelaziz

International Journal of Systems Science, 2017, vol. 48, issue 13, 2871-2886

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.

Date: 2017
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DOI: 10.1080/00207721.2017.1359349

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