Journal of Electrical Engineering and Technology

The Korean Institute of Electrical Engineers (대한전기학회)
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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)
  • Received : 2010.09.30
  • Accepted : 2011.05.12
  • Published : 2011.09.01
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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.

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References

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