Regular Papers
International Journal of Control, Automation and Systems 2009; 7(2): 193-202
Published online April 6, 2009
https://doi.org/10.1007/s12555-009-0205-9
© The International Journal of Control, Automation, and Systems
An Optimal H2 Decoupling Design for Non-Square Plant Systems based on the Two-Degree-of-Freedom Standard Model
We obtain an optimal decoupling controller for rectangular plants in a standard two-degree-of-freedom controller configuration model. The class of all stabilizing and decoupling loop controllers is parameterized in terms of free diagonal parameter matrices. We determined the optimal decoupling controller from these free parameters. Inner-outer factorization and the Khatri-Rao product expression for the vector operation to a diagonal matrix are the key steps in obtaining the optimal solution. We provide a compact set of assumptions to assure the existence of the optimal solution.
Keywords Decoupling controller, optimal control, two-degree-of-freedom controller, Wiener-Hopf controller.
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Regular Papers
International Journal of Control, Automation and Systems 2009; 7(2): 193-202
Published online April 1, 2009 https://doi.org/10.1007/s12555-009-0205-9
Copyright © The International Journal of Control, Automation, and Systems.
An Optimal H2 Decoupling Design for Non-Square Plant Systems based on the Two-Degree-of-Freedom Standard Model
Goon-Ho Choi, Kiheon Park*, and Joon-Hong Jung
SungKyunKwan Univ., Korea
Abstract
We obtain an optimal decoupling controller for rectangular plants in a standard two-degree-of-freedom controller configuration model. The class of all stabilizing and decoupling loop controllers is parameterized in terms of free diagonal parameter matrices. We determined the optimal decoupling controller from these free parameters. Inner-outer factorization and the Khatri-Rao product expression for the vector operation to a diagonal matrix are the key steps in obtaining the optimal solution. We provide a compact set of assumptions to assure the existence of the optimal solution.
Keywords: Decoupling controller, optimal control, two-degree-of-freedom controller, Wiener-Hopf controller.
Vol. 22, No. 9, pp. 2673~2953
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