Mixed H2 / H∞ output-feedback control of second-order neutral systems with time-varying state and input delays

Hamid Reza Karimi; Huijun Gao

doi:10.1016/j.isatra.2008.04.002

Mixed H₂ / H_∞ output-feedback control of second-order neutral systems with time-varying state and input delays

Hamid Reza Karimi^*
, Huijun Gao

^*Corresponding author for this work

School of Astronautics

University of Bremen

Research output: Contribution to journal › Article › peer-review

100 Scopus citations

Abstract

A mixed H₂ / H_∞ 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 / H_∞ 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 / H_∞ output-feedback control design using some free weighting matrices. The simulation results illustrate the effectiveness of the proposed methodology.

Original language	English
Pages (from-to)	311-324
Number of pages	14
Journal	ISA Transactions
Volume	47
Issue number	3
DOIs	https://doi.org/10.1016/j.isatra.2008.04.002
State	Published - Jul 2008

Keywords

LMI
Mixed H / H output-feedback control
Second-order neutral systems
Time delay

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10.1016/j.isatra.2008.04.002

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title = "Mixed H2 / H∞ output-feedback control of second-order neutral systems with time-varying state and input delays",

abstract = "A mixed H2 / H∞ 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 / H∞ 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 / H∞ output-feedback control design using some free weighting matrices. The simulation results illustrate the effectiveness of the proposed methodology.",

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author = "Karimi, \{Hamid Reza\} and Huijun Gao",

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AU - Karimi, Hamid Reza

AU - Gao, Huijun

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N2 - A mixed H2 / H∞ 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 / H∞ 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 / H∞ output-feedback control design using some free weighting matrices. The simulation results illustrate the effectiveness of the proposed methodology.

AB - A mixed H2 / H∞ 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 / H∞ 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 / H∞ output-feedback control design using some free weighting matrices. The simulation results illustrate the effectiveness of the proposed methodology.

KW - LMI

KW - Mixed H / H output-feedback control

KW - Second-order neutral systems

KW - Time delay

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DO - 10.1016/j.isatra.2008.04.002

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SN - 0019-0578

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ER -

Mixed H₂ / H_∞ output-feedback control of second-order neutral systems with time-varying state and input delays

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Keywords

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