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Mixed H2/Hinfinity output-feedback control of second-order neutral systems with time-varying state and input delays
Hamid Reza Karimi1, Huijun Gao
1Centre for Industrial Mathematics, Faculty of Mathematics and Computer Science, University of Bremen, 28359 Bremen, Germany. hrkarimi@math.uni-bremen.de
Abstract:
A mixed H2/Hinfinity output-feedback control design methodology is presented in this paper for second-order neutral linear systems with time-varying state and input delays. Delay-dependent sufficient conditions for the design of a desired control are given in terms of linear matrix inequalities (LMIs). A controller, which guarantees asymptotic stability and a mixed H2/Hinfinity performance for the closed-loop system of the second-order neutral linear system, is then developed directly instead of coupling the model to a first-order neutral system. A Lyapunov-Krasovskii method underlies the LMI-based mixed H2/Hinfinity output-feedback control design using some free weighting matrices. The simulation results illustrate the effectiveness of the proposed methodology.
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