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Pole assignment of multivariable systems using proportional-derivative state feedback
Authors:Taha H S Abdelaziz
Affiliation:Department of Mechanical Engineering, Faculty of Engineering, Helwan University, Helwan, Egypt
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.
Keywords:Proportional-derivative (PD) feedback  pole assignment  linear time-invariant systems  multivariable system  feedback stabilisation
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