Non-fragile delay-dependent H∞ control of linear time-delay system with uncertainties in state and control input View Full Text


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Article Info

DATE

2008-10-10

AUTHORS

Shen-ping Xiao, Min Wu, Jin-hua She

ABSTRACT

The problem of designing a non-fragile delay-dependent H∞ state-feedback controller was investigated for a linear time-delay system with uncertainties in state and control input. First, a recently derived integral inequality method and Lyapunov-Krasovskii stability theory were used to derive new delay-dependent bounded real lemmas for a non-fragile state-feedback controller containing additive or multiplicative uncertainties. They ensure that the closed-loop system is internally stable and has a given H∞ disturbance attenuation level. Then, methods of designing a non-fragile H∞ state feedback controller were presented. No parameters need to be tuned and can be easily determined by solving linear matrix inequalities. Finally, the validity of the proposed methods was demonstrated by a numerical example with the asymptotically stable curves of system state and controller output under the initial condition of x(0)=[1 0 −1]T and h=0.8 time-delay boundary. More... »

PAGES

712-719

References to SciGraph publications

  • 2006-10-01. Design of decentralized robust {ie558-1} state feedback controllerstate feedback controller in JOURNAL OF CENTRAL SOUTH UNIVERSITY
  • 2004-12-01. Robustness analysis for a class of nonlinear descriptor systems in JOURNAL OF CENTRAL SOUTH UNIVERSITY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11771-008-0132-6

    DOI

    http://dx.doi.org/10.1007/s11771-008-0132-6

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