Robustness in partial pole placement
Nichols, N. (1987) Robustness in partial pole placement. IEEE Transactions on Automatic Control, 32 (8). pp. 728-732. ISSN 0018-9286
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To link to this article DOI: 10.1109/TAC.1987.1104703
The robustness of state feedback solutions to the problem of partial pole placement obtained by a new projection procedure is examined. The projection procedure gives a reduced-order pole assignment problem. It is shown that the sensitivities of the assigned poles in the complete closed-loop system are bounded in terms of the sensitivities of the assigned reduced-order poles, and the sensitivities of the unaltered poles are bounded in terms of the sensitivities of the corresponding open-loop poles. If the assigned poles are well-separated from the unaltered poles, these bounds are expected to be tight. The projection procedure is described in , and techniques for finding robust (or insensitive) solutions to the reduced-order problem are given in , .