Technical Communique: Robust H∞ control of linear neutral systems

Authors:
Magdi S. Mahmoud
Affiliations:
Department of Electrical and Computer Engineering, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Venue:
Automatica (Journal of IFAC)
Year:
2000

Citing 3
Cited 10

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Asymptotic stability for a class of neutral systems with discrete and distributed time delays

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Exponential stability assignment of neutral delay-differential systems by a class of linear-quadratic regulators

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Delay-dependent H∞ controller design for linear neutral systems with discrete and distributed delays

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Design of Output Feedback Controller for Neutral System with Distributed Delay

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On robust stability of uncertain neutral systems with discrete and distributed delays

ACC'09 Proceedings of the 2009 conference on American Control Conference
New strategy of delay-dependent H∞stability and stabilization for uncertain neutral systems with mixed time-varying delays

CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

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Robust observers for neutral jumping systems with uncertain information

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Stabilization of neutral systems with saturating actuators

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Abstract

This paper investigates the problems of robust stability and robust H"~ control for a class of uncertain neutral systems. The class describes linear state models with norm-bounded uncertain system parameters and unknown constant state delay. First, we develop a sufficient condition for robust stability independent of delay. Then, we provide sufficient conditions for designing a memoryless state-feedback controller which stabilizes the uncertain neutral system under consideration and guarantees an H"~-norm bound constraint on the disturbance attenuation for all admissible uncertainties and unknown state delay. In both problems, the results are expressed in the form of linear matrix inequalities. It has been established that several earlier results are special cases of the developed theory.