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Fixed-order controller design for polytopic systems using LMIs
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DOI：10.1109/TAC.2007.914301.png)
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Abstract
En 中文
Convex parameterization of fixed-order robust, stabilizing controllers for systems with polytopic uncertainty is represented as a linear matrix inequality (LMI) using the Kalman-Yakubovich-Popov (KYP) lemma. This parameterization is a convex inner approximation of the whole nonconvex set of stabilizing controllers, and depends on the choice of a central polynomial. It is shown that, with an appropriate choice of the central polynomial, the set of all stabilizing fixed-order controllers that place the closed-loop poles of a polytopic system in a disk centered on the real axis can be outbounded with some LMIs. These LMIs can be used for robust pole placement of polytopic systems.
Keywords:
POLE ASSIGNMENT
UNCERTAIN SYSTEMS
STABILIZATION
POLYNOMIALS
PLACEMENT
DISK
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W
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