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http://dx.doi.org/10.5370/JEET.2011.6.5.706

Necessary and Sufficient Conditions for the Existence of Decoupling Controllers in the Generalized Plant Model  

Park, Ki-Heon (Department of Electrical Engineering, SungKyunKwan University)
Choi, Goon-Ho (IT Media Research Center, Korea University of Technology and Education)
Publication Information
Journal of Electrical Engineering and Technology / v.6, no.5, 2011 , pp. 706-712 More about this Journal
Abstract
Necessary and sufficient conditions for the existence of diagonal, block-diagonal, and triangular decoupling controllers in linear multivariable systems for the most general setting are presented. The plant model in this study is sufficiently general to accommodate non-square plant and non-unity feedback cases with one-degree-of-freedom (1DOF) or two-degree-of-freedom (2DOF) controller configuration. The existence condition is described in terms of rank conditions on the coefficient matrices in partial fraction expansions.
Keywords
Decoupling controller; Generalized plant model; Existence condition; Linear multivariable control; Block decoupling;
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