Feedback factorizing control of 3-D transfer functions via a canonical state-space model |
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| Authors: | SG Tzafestas NJ Theodorou |
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| Institution: | Control Systems Laboratory, Electrical Engineering Department, University of Patras, Patras, Greece;Airforce Research and Development Center (KETA), Delta Falirou, Paleo Faliro, Athens, Greece |
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| Abstract: | The problem factorizing (separating) the transfer function of a given SISO 3-D discrete system, ie of a system depending on three independent variables, is considered. The 3-D system is assumed to be available in its transfer function representation, which is converted to a canonical state-space model by a simple inspection procedure. Then applying state-feedback to this canonical model we choose the feedback matrix gain (under certain conditions) such that the transfer function of the closed-loop system has the desireed factorized form, ie a product of three 1-D transfer functions each one being dependent on a single variable. The method is illustrated by a nontrivial numerical example. |
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