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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.
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No potential conflict of interest was reported by the author.
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Taha H. S. Abdelaziz
Taha H. S. Abdelaziz received his BSc and MSc degrees from Helwan University, Cairo, Egypt, and his PhD degree in Automatic Control from Czech Technical University, Czech Republic. He is working as associate professor at the Faculty of Engineering, Helwan University, Cairo, Egypt. His main research interests include linear systems, pole assignment, eigenstructure assignment, and robust control.