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A computational algorithm for pole assignment of linear multiinput systems

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3 Author(s)
Petkov, P.Hr. ; Higher Institute of Mechanical and Electrical Engineering, Sofia, Bulgaria ; Christov, N.D. ; Konstantinov, M.M.

An efficient computational algorithm for pole assignment of linear multiinput systems is proposed. A preliminary stage of the algorithm is a reduction of the system matrices into orthogonal canonical form. The gain matrix elements are then found by orthogonal transformation of the closed-loop system matrix into upper quasi-triangular form whose diagonal blocks correspond to the desired poles. The algorithm is numerically stable, the computed gain matrix being exact for a system with slightly perturbed matrices. It works equally well with real and complex, distinct, and multiple poles and is applicable to ill-conditioned and high-order problems.

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Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 11 )