The decoupling of generalized state-space systems via state feedback

The input-output decoupling problem of generalized state-space systems (GSS) via proportional state feedback is studied. The following three major issues are resolved: the necessary and sufficient conditions for the problem to have a solution, the general analytical expressions of the controller matrices, and the general analytical expressions of the diagonal elements of the closed-loop system. It is concluded that the approach presented seems to be a quite powerful tool for solving several feedback design problems for GSS systems. Using this method, problems such as decoupling and simultaneous pole assignment and decoupling via output feedback are successfully studied.<
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