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H and positive-real control for linear neutral delay systems

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3 Author(s)
Shengyuan Xu ; Sch. of Power Eng., Nanjing Univ. of Sci. & Technol., China ; Lam, J. ; Chengwu Yang

This note is concerned with the H and positive-real control problems for linear neutral delay systems. The purpose of H control is the design of a memoryless state feedback controller which stabilizes the neutral delay system and reduces the H norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribed level, while the purpose of positive-real control is to design a memoryless state feedback controller such that the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of the desired controllers are given in terms of a linear matrix inequality (LMI). When this LMI is feasible, the expected memoryless state feedback controllers can be easily constructed via convex optimization

Published in:

Automatic Control, IEEE Transactions on  (Volume:46 ,  Issue: 8 )

Date of Publication:

Aug 2001

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