Robust variance control for a class of uncertain neutral delay systems
Robust variance control for a class of uncertain neutral delay systems
- Author(s): Z. Liu
- DOI: 10.1049/iet-cta.2009.0279
For access to this article, please select a purchase option:
Buy article PDF
Buy Knowledge Pack
IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.
Thank you
Your recommendation has been sent to your librarian.
- Author(s): Z. Liu 1
-
-
View affiliations
-
Affiliations:
1: Department of Automation, Shanghai Jiao Tong University, Shanghai, People's Republic of China
-
Affiliations:
1: Department of Automation, Shanghai Jiao Tong University, Shanghai, People's Republic of China
- Source:
Volume 4, Issue 8,
August 2010,
p.
1399 – 1406
DOI: 10.1049/iet-cta.2009.0279 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study investigates the robust variance control problem of neutral systems, taking parameter uncertainties and time delays into account. By introducing algebraic manipulations and appropriate uncertainty descriptions, the purpose of this problem is to design a static-state feedback controller that does not depend on the parameter uncertainties, such that not only the steady-state variance of each state is not more than the individual pre-specified value but also that the resulting closed-loop system is asymptotically stable simultaneously. Using the linear matrix inequality approach, the existence conditions of such controllers are derived. Furthermore, a numerical example is given to illustrate the effectiveness of the proposed approach.
Inspec keywords: controllers; linear matrix inequalities; robust control; asymptotic stability; state feedback; closed loop systems; delay systems; uncertain systems
Other keywords:
Subjects: Distributed parameter control systems; Linear algebra (numerical analysis); Stability in control theory
References
-
-
1)
- Verriest, E.I.: `Robust stability and adaptive control of time-varying neutral systems', Proc. IEEE Conf. on Decision and Control, 1999, 5, p. 4690–4695.
-
2)
- F.O. Souza , R.M. Palhares , V.J.S. Leite . Improved robust H∞ control for neutral systems via discretised Lyapunov-Krasovskii functional. Int. J. Control , 9 , 1462 - 1474
-
3)
- Y. Niu , J. Lam , X. Wang . Sliding-mode control for uncertain neutral delay systems. IEE Proc. Control Theory Appl. , 1 , 38 - 44
-
4)
- H. Li , J. Zhou . Delay-independent robust guaranteed-cost control for uncertain linear neutral systems. J Syst. Eng. Electron. , 4 , 858 - 864
-
5)
- Q.-L. Han . On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty. Automatica , 6 , 1087 - 1092
-
6)
- L. Hong-fei , Z. Jun . Feedback stabilization for a class of linear systems with structure disturbances based on LMI method. Chinese J. Eng. Math. , 4 , 663 - 670
-
7)
- M.S. Mahmoud . Robust H∞ control of linear neutral system. Automatica , 5 , 757 - 764
-
8)
- J. Zhang , P. Shi , J. Qiu . Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties. Chaos, Solitons Fractals , 1 , 160 - 167
-
9)
- Q.-L. Han , L. Yu . Robust stability of linear neutral systems with nonlinear parameter perturbations. IEE Proc. Control Theory Appl. , 5 , 539 - 546
-
10)
- Moezzi, K., Aghdam, A.G.: `Adaptive robust control of uncertain neutral time-delay systems', Proc. American Control Conf., ACC, 2008, p. 5162–5167.
-
11)
- Y.P. Chen , Q.L. Zhang , T.Q. Xu . Robust guaranteed cost control for a class of uncertain nonlinear neutral time-delay system. Adv. Model. Anal. C , 59 - 73
-
12)
- K. Yang , J.G. Lu . Robust variance-constrained control for a class of continuous time-delay systems with parameter uncertainties. Chaos, Solitons and Fractals , 5 , 2179 - 2187
-
13)
- Pan, S.-T., Chen, C.-F., Fan, K.-K.: `Robust stability for a class of two-time-scale time-delay neutral systems', Proc. IEEE Int. Conf. on Systems, Man and Cybernetics, 2003, 4, p. 3153–3158.
-
14)
- Y. He , M. Wu . Delay-dependent robust stability for uncertain neutral systems. J. Syst. Eng. Electr. , 2 , 351 - 355
-
15)
- R.T. Yanushevsky . Optimal control of lineal differential-difference systems of neutral type. Int. J. Control , 66 , 1835 - 1850
-
16)
- Q.-l. Han . Robust stability of uncertain delay-differential systems of neutral type. Automatica , 4 , 719 - 723
-
17)
- A. Ismail , M.S. Mahmoud . LMI approach to robust stability and H∞ control of uncertain neutral jumping systems. IMA J. Math. Control Inform. , 2 , 115 - 141
-
18)
- C.-H. Lien . Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach. Chaos Solitons Fractals , 3 , 1017 - 1027
-
19)
- X.-G. Liu , M. Wu , R. Martin , M.-L. Tang . Stability analysis for neutral systems with mixed delays. J. Comput. Appl. Math. , 2 , 478 - 497
-
20)
- J.H. Park . Robust guaranteed cost control for uncertain linear differential systems of neutral type. Appl. Math. Comput. , 523 - 535
-
21)
- J.D. Chen , C.H. Lien , K.K. Fan , J.H. Chou . Criteria for asymptotic stability of a class of neutral systems via a LMI approach. IEE Proc. Control Theory Appl. , 6 , 442 - 447
-
22)
- F.O. Souza , R.M. Palhares , K.A. Barbosa . New improved delay-dependent H∞ filter design for uncertain neutral systems. IET Control Theory Appl. , 12 , 1033 - 1043
-
23)
- L.Y. Wang , Z. Wei . Robust disturbance attenuation with stability for linear systems with norm-bounded nonlinear uncertainties. IEEE Trans. Autom. Control , 6 , 886 - 888
-
24)
- S. Xu , J. Lam , C. Yang , E.I. Verriest . An LMI approach to guaranteed cost control for uncertain linear neutral delay system. Int. J. Robust Nonlinear Control , 1 , 35 - 53
-
25)
- E. Collins , R. Skelton . Theory of state covariance assignment for discrete systems. IEEE Trans. Autom. Control , 1 , 35 - 41
-
26)
- Z.D. Wang , J. Lam , K.J. Bumham . Stability analysis and observer design for neutral delay systems. IEEE Trans. Autom. Control. , 3 , 478 - 483
-
27)
- A. Hotz , R.E. Skelton . Covariance control theory. Int. J. Control , 1 , 13 - 32
-
28)
- E. Fridman . On robust stability of linear neutral systems with time-varying delays. IMA J. Math. Control Inf. , 4 , 393 - 407
-
29)
- Liang, X., Wu, Z., Zhang, Y., Liang, J.: `Delay-dependent observer design and observer-based stabilization of linear neutral delay system', Chinese Control and Decision Conf., 2008, p. 4133–4138.
-
1)