WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 17, 2022
Pole Assignment by Proportional-plus-derivative State Feedback for Multivariable Linear Time-invariant Systems
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Abstract: In this paper the pole assignment problem by proportional-plus-derivative state feedback for multivariable linear-time invariant systems is studied. In particular, explicit necessary and sufficient conditions are established for a given polynomial with real coefficients to be characteristic polynomial of closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the calculation of proportional-plus-derivative state feedback which places the poles of closed-loop system at desired locations. Our approach is based on properties of polynomial matrices.
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Keywords: pole assignment, proportional-plus-derivative state feedback, linear time-invariant systems
Pages: 262-268
DOI: 10.37394/23203.2022.17.30