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A solution to the diagonalization problem by constant precompensator and dynamic output feedback

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2 Author(s)
Eldem, V. ; Res. Inst. for Basic Sci., Kocaeli, Turkey ; Ozguler, A.B.

A solution is presented for the problem of diagonalization (row-by-row decoupling). The problem is solved using a constant precompensator and a dynamic output feedback compensator of a p×m linear time-invariant system. The solvability condition is compact and concerns the dimension of a single subspace defined via the concepts of essential rows and static kernels associated with the transfer matrix. A characterization of the set of all solutions to the problem is also given. In solving this dynamic feedback problem, a complete solution to its state-feedback counterpart, namely, the restricted state-feedback problem of diagonalization, is also presented

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Automatic Control, IEEE Transactions on  (Volume:34 ,  Issue: 10 )