title: Mixed H2/Hinfinity output-feedback control of second-order neutral systems with time-varying state and input delays.
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.
authors.affiliation: Centre for Industrial Mathematics, Faculty of Mathematics and Computer Science, University of Bremen, 28359 Bremen, Germany. hrkarimi@math.uni-bremen.de
authors.forename: Hamid Reza
authors.initials: HR
authors.lastname: Karimi
authors.forename: Huijun
authors.initials: H
authors.lastname: Gao
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics