Feedback characteristic polynomial controller design of 3-D systems in state-space |
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| Authors: | SG Tzafestas TG Pimenides |
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| Institution: | Control Systems Laboratory, School of Engineering, University of Patras, Patras, Greece |
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| Abstract: | For a general state-space model of three-dimensional (3-D) systems the characteristic polynomial (eigenvalue) control problem via state and output feedback is considered. A frequency domain approach is employed which in the scalar input case leads to a set of necessary and sufficient conditions. The multi-input problem is treated by assuming that the state or output feedback gain matrix is expressed as the dyadic product ⊙F = ⊙ ⊙fT of a column vector ⊙β and a row vector ⊙fT. This assumption leads to an equivalent scalar input problem β which is directly solved by using the scalar input results. Concerning the dynamic feedback compensator design problem, the important particular case of proportional plus integral plus derivative (PID) control is considered and treated by essentially the same algorithm, which leads to a linear algebraic system in the unknown parameters, along with some constraint equations upon the closed-loop characteristic polynomial sought. |
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