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A new approach to eigenstructure assignment by output feedback

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2 Author(s)
Alexandridis, A.T. ; Dept. of Electr. & Comput. Eng., Patras Univ., Greece ; Paraskevopoulos, P.N.

The eigenstructure assignment problem for a linear time invariant multi-input-multi-output system using output feedback is considered. A new approach is developed which identifies the eigenspaces for the desired set of all the closed-loop eigenvalues. For the assignment of this desired set, necessary and sufficient conditions are established. These conditions contain two coupled Sylvester matrix equations, one of which is proven to be a reduced-order square Sylvester matrix equation. This results in an efficient analytical procedure, numerically superior to known techniques, for the determination of the output feedback gain-matrix

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Automatic Control, IEEE Transactions on  (Volume:41 ,  Issue: 7 )