Optimal Design of Feedforward Regulators for Multivariable Systems

A method to design optimal multivariable feedforward regulators is presented for stochastic plants described by rational transfer matrices. The plant is assumed to have an arbitrary feedback stabilizing compensator. Standard Wiener-Hopf variational argument is employed to minimize the weighted sum o...

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Bibliographic Details
Main Author: Milocco, Ruben H.
Format: Conference Proceeding
Language:English
Subjects:
Control systems
Design methodology
Feedback
Laplace equations
MIMO
Nonlinear filters
Optimal control
Polynomials
Regulators
Stochastic systems
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Summary:A method to design optimal multivariable feedforward regulators is presented for stochastic plants described by rational transfer matrices. The plant is assumed to have an arbitrary feedback stabilizing compensator. Standard Wiener-Hopf variational argument is employed to minimize the weighted sum of inputs and outputs variances for both cases: continuous-time and discrete-time plants. The method involves spectral factorization and the solution of a polynomial matrix diophantine equation. The plant can be of non-minimum phase with delays. The solution is simple and computationally attractive. An example of feedforward on a distillation column is given to illustrate the design procedure.
DOI:10.23919/ACC.1992.4792181