Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned

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Choosing Poles so That the Single-input Pole Placement Problem Is Well Conditioned∗

We discuss the single-input pole placement problem (SIPP) and analyze how the conditioning of the problem can be estimated and improved if the poles are allowed to vary in specific regions in the complex plane. Under certain assumptions we give formulas as well as bounds for the norm of the feedback gain and the condition number of the closed loop matrix. Via several numerical examples we demon...

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For the solution of the multi-input pole placement problem we derive explicit formulas for the subspace from which the feedback gain matrix can be chosen and for the feedback gain as well as the eigenvector matrix of the closed-loop system. We discuss which Jordan structures can be assigned and also when diagonalizability can be achieved. Based on these formulas we study the conditioning of the...

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Pole Placement Design Technique 8.2 State Feedback and Pole Placement

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ژورنال

عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications

سال: 1998

ISSN: 0895-4798,1095-7162

DOI: 10.1137/s0895479896302382