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Pole placement with LMI constraint of fuzzy descriptor system. (English) Zbl 1395.93240

Summary: This paper investigates the pole placement problem for a class of fuzzy descriptor system. Firstly, based on the fuzzy Lyapunov function approach and with the introduction of some free matrices, a new sufficient condition for the fuzzy descriptor system to be \(\mathcal D\) stable is presented. Then based on this new condition, a controller design method is proposed to guarantee the poles of the closed-loop system lying in a given LMI region. At last, numerical examples are given to show the efficiency of the proposed approach.

MSC:

93B55 Pole and zero placement problems
93C42 Fuzzy control/observation systems
93B51 Design techniques (robust design, computer-aided design, etc.)
93D30 Lyapunov and storage functions
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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