Integral-inequality approach to delay-dependent robust H-infinity control for uncertain neutral systems

被引：1

作者：

Zhang W. ^{[1
]}

Yu L. ^{[1
]}

机构：

[1] Department of Automation, Zhejiang University of Technology, Hangzhou

来源：

Journal of Control Theory and Applications | 2008年 / 6卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Delay-dependent criteria; H-infinity control; Integral-inequality; Neutral systems; Uncertain systems;

D O I：

10.1007/s11768-008-6135-x

中图分类号：

学科分类号：

摘要：

This paper focuses on the design problem of a memoryless state feedback robust H-infinity controller for a class of uncertain neutral systems. By using a newly established integral inequality, a new delay-dependent bounded real lemma for such systems is derived without involving a fixed model transformation. Furthermore, new delay-dependent sufficient conditions for the existence of robust H-infinity controllers are presented in terms of nonlinear matrix inequalities. A design procedure involving an iterative algorithm is also proposed to design such controllers. Numerical examples are given to demonstrate the less conservatism of the proposed method. © 2008 Editorial Board of Control Theory and Applications, South China University of Technology and Springer-Verlag GmbH.

引用

页码：208 / 214

页数：6

共 13 条

[1]

Park P., A delay-dependent stability criterion for systems with uncertain time-invariant delay[J], IEEE Transactions on Automatic Control, 44, pp. 876-877, (1999)

[2]

Moon Y.S., Park P., Kwon W.H., Et al., Delay-dependent robust stabilization of uncertain state-delayed systems[J], International Journal of Control, 74, pp. 1447-1455, (2001)

[3]

Kolmanovskii V.B., Richard J.P., Stability of some linear systems with delays[J], IEEE Transactions on Automatic Control, 44, pp. 984-989, (1999)

[4]

Han Q., Robust stability of uncertain delay-differential systems of neutral type[J], Automatica, 38, pp. 719-723, (2002)

[5]

Park J.H., Kwon O., On new stability criterion for delay-differential systems of neutral type[J], Applied Mathematics and Computation, 162, pp. 627-637, (2005)

[6]

Fridman E., New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems[J], Systems & Control Letters, 43, pp. 309-319, (2001)

[7]

Han Q., A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays[J], Automatica, 40, pp. 1791-1796, (2004)

[8]

He Y., Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays[J], Systems & Control Letters, 51, pp. 57-65, (2004)

[9]

Lien C.H., Delay-dependent stability criteria for uncertain neutral systems with multiple time-varying delays via LMI approach[J], IEE Proceedings-Control Theory & Applications, 152, pp. 707-714, (2005)

[10]

Fridman E., Shaked U., A descriptor system approach to H<sub>∞</sub> control of linear time-delay systems[J], IEEE Transactions on Automatic Control, 47, pp. 253-270, (2002)

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