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IMA Journal of Mathematical Control and Information 1994 11(2):93-110; doi:10.1093/imamci/11.2.93
© 1994 by Institute of Mathematics and its Applications
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On the solvability of Morgan's problem (I): necessary and sufficient conditions for decoupling by state feedback and a constant singular input transformation

TRIFON G. KOUSSIOURIS and MICHAEL ZERVOS

Department of Electrical Engineering, National Technical University of Athens 42 Patission Street, Athens 106 82, Greece

A necessary and sufficient condition is determined, for decoupling an l-input m-output linear time-invariant controllable system by state feedback and a constant singular input transformation, using the Rosenbrock system-matrix description for linear time-invariant systems. This condition is examined for the minimal-delay decoupling problem and proved to be equivalent to the existence of a solution of special form to a set of equations of the form Di Xi+ Yi,Ei = Li with Di, Ei and Li, known matrices. Furthermore, a technique is proposed for obtaining the control law when this condition is fulfilled.


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