Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
Partial Pole Placement with Specified Stability Margins
A Generalization of the Polynomial ILQ Method
Atsushi SATOHIchijyo HODAKAKenji SUGIMOTO
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2000 Volume 13 Issue 1 Pages 30-37

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Abstract

This paper proposes a design method of a state feedback gain which simultaneously achieves specified gain and phase margins and partial pole placement. Gain and phase margins are guaranteed by imposing quadratic constraints on open-loop transfer functions. Also, partial pole placement is done by using the same gain parametrization as in the polynomial ILQ method. It is shown that our design problem is formulated as a feasibility problem with LMI constraints and a non-linear equality constraint.

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