Feedback Decoupling of Linear Multivariable Systems


During this paper, the decoupling downside of linear multivariable systems using a static state feedback is considered. 2 main contributions related to the present problem are presented. The primary one could be a complete characterization of the decoupled closed-loop structure of a decouplable sq. linear system, along with the required and sufficient conditions for the internal stability of the decoupled closed-loop system. The second contribution may be a result presenting necessary and sufficient conditions for a right invertible linear system to be decouplable with a fascinating infinite structure using nonregular state feedback. These conditions are stated in terms of the row image of two real matrices, that are obtained using the extended interactor of the system and the fascinating infinity structure of the closed-loop system. A procedure is provided to find a realizable full column rank compensator that solves the matter. Given a system satisfying these conditions, it is shown how to get a non regular static state feedback that decouples the system.

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