Sage Journals: Discover world-class research

Abstract

This paper considers the problem of guaranteed cost control for a class of neutral delay systems. Unlike the commonly used quadratic cost function involving the state, a cost function involving the delayed state is considered. This naturally leads to a memory state feedback such that the resulting closed-loop system is not only asymptotically stable but also guarantees an adequate level of performance. An observer-based output feedback guaranteed cost control problem is addressed. A sufficient condition for the existence of a guaranteed cost controller is given in terms of the feasibility condition of a linear matrix inequality. Finally, two numerical examples are used to demonstrate the effectiveness of the approach proposed.

Keywords

delay system guaranteed cost neutral system observer stabilization

Get full access to this article

View all access options for this article.

References

Lou

J. S.

Van Den Bosch

P. P. J.

Independent delay stability criteria for uncertain linear state space models. Automatica, 1997, 33 (2), 171–179.

Niculescu

S. I.

De Souza

C. E.

Dugard

Dion

J. M.

Robust exponential stability of uncertain systems with time-varying delays. IEEE Trans. Autom. Control, 1998, 43 (5), 734–748.

Xie

De Souza

C. E.

Criteria for robust stability and stabilization of uncertain linear systems with state delays. Automatica, 1997, 33 (9), 1657–1662.

Xie

De Souza

C. E.

Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach. IEEE Trans. Autom. Control, 1997, 42 (8), 1144–1148.

Esfahain

S. H.

Moheimani

S. O. R.

LMI approach to suboptimal guaranteed cost control for uncertain time-delay systems. IEE Proc: Control Theory and Applies, 1998, 145 (6), 491–498.

Moheimani

S. O.R.

Petersen

I. R.

Optimal guaranteed cost control of a class of uncertain time-delay systems. IEE Proc: Control Theory and Applies, 1997, 144 (2), 183–188.

Chu

An LMI approach to guaranteed cost control of linear uncertain time-delay systems. Automatica, 1999, 35 (6), 1155–1159.

Lee

Y. S.

Moon

Y. S.

Kwon

W. H.

Delay-dependent guaranteed cost control for uncertain state-delay systems. In Proceedings of the American Control Conference, Arlington, Massachusetts, June 2001, pp. 3376–3381.

Hale

J. K.

Theory of Functional Differential Equations, 1977 (Springer-Verlag, New York).

10.

Dugard

Verriest

E. I.

Stability and Control of Time-Delay Systems, 1998 (Springer-Verlag, New York).

11.

Banks

H. T.

Jacobs

M. Q.

Langenhop

C. E.

Characterization of controller states in W⁽¹⁾₂ of linear hereditary systems. SIAM J. Control and Optimization, 1975, 13, 611–649.

12.

O'Connor

D. A.

Tarn

T. J.

On the function space controllability of linear neutral systems. SIAM J. Control and Optimization, 1983, 21, 520–536.

13.

Tarn

T. J.

Yang

T. Z.

Zeng

X. M.

Guo

C. F.

Periodic output feedback stabilization of neutral systems. IEEE Trans. Autom. Control, 1996, 41 (4), 511–521.

14.

Hui

G. D.

Simple criteria for stability of neutral systems with multiple delays. Int. J. Systems Sci., 1997, 28, 1325–1328.

15.

Won

Park

J. H.

A note on the stability analysis of neutral systems with multiple time-delays. Int. J. Systems Sci., 2001, 32 (4), 409–412.

16.

Lam

Yang

H∞ and positive-real control for linear neutral delays systems. IEEE Trans. Autom. Control, 2001, 46 (8), 1321–1326.

17.

Mahmoud

M. S.

Robust H∞ control of linear neutral systems. Automatica, 2000, 36, 757–764.

18.

Lam

Yang

Verriest

E. I.

An LMI approach to guaranteed cost control for uncertain linear neutral systems. Int. J. Robust and Nonlinear Control, 2003, 13 (1), 35–53.

19.

Wang

Lam

Burnham

K. J.

Stability analysis and observer design for neutral delay systems. IEEE Trans. Autom. Control, 2002, 47 (3), 478–483.

New observer-based guaranteed cost control for neutral delay systems

Abstract

Abstract

Keywords

Get full access to this article

References