Stability and stabilisation of discrete-time networked control systems: a new time delay system approach
Stability and stabilisation of discrete-time networked control systems: a new time delay system approach
- Author(s): Y.-B. Zhao ; G.-P. Liu ; D. Rees
- DOI: 10.1049/iet-cta.2009.0366
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- Author(s): Y.-B. Zhao 1, 2 ; G.-P. Liu 2, 3 ; D. Rees 2
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View affiliations
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Affiliations:
1: Department of Aerospace Engineering, University of Glasgow, Glasgow, UK
2: Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK
3: CTGT Center, Harbin Institute of Technology, Harbin, People's Republic of China
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Affiliations:
1: Department of Aerospace Engineering, University of Glasgow, Glasgow, UK
- Source:
Volume 4, Issue 9,
September 2010,
p.
1859 – 1866
DOI: 10.1049/iet-cta.2009.0366 , Print ISSN 1751-8644, Online ISSN 1751-8652
A large number of research works on networked control systems (NCSs) are from the time delay system (TDS) perspective, however, it is noticed that the description of the network-induced delay is too general to represent the practical reality. By recognising this fact, a novel TDS model for NCSs is thus obtained by depicting the network-induced delay more specifically. Based on this model, stability (robust stability) and stabilisation results are obtained using delay-dependent analysis approach, which are less conservative compared with conventional models because of the specific description of the network-induced delay in the new model. A numerical example illustrates the effectiveness of the proposed approach.
Inspec keywords: robust control; delay systems; discrete time systems; delays; distributed control
Other keywords:
Subjects: Discrete control systems; Distributed parameter control systems; Stability in control theory
References
-
-
1)
- G. Guo . Integrated communication and control systems with occasional information feedback. Cybern. Syst. , 8 , 843 - 873
-
2)
- G.C. Goodwin , D.E. Quevedo , E.I. Silva . Architectures and coder design for networked control systems. Automatica , 1 , 248 - 257
-
3)
- F.W. Yang , Z.D. Wang , Y.S. Huang , M. Gani . H∞ control for networked systems with random communication delays. IEEE Trans. Autom. Control , 3 , 511 - 518
-
4)
- Y.-B. Zhao , G.P. Liu , D. Rees . A predictive control based approach to networked Hammerstein systems: design and stability analysis. IEEE Trans. Syst. Man Cybern. Part B, Cybern. , 3 , 700 - 708
-
5)
- H. Gao , T. Chen , J. Lam . A new delay system approach to network-based control. Automatica , 1 , 39 - 52
-
6)
- G. Guo , X. Liu . Observability and controllability of systems with limited data rate. Int. J. Syst. Sci. , 4 , 327 - 334
-
7)
- M. Garcia-Rivera , A. Barreiro . Analysis of networked control systems with drops and variable delays. Automatica , 12 , 2054 - 2059
-
8)
- X. Fan , M. Arcak . Delay robustness of a class of nonlinear systems and applications to communication networks. IEEE Trans. Autom. Control , 1 , 139 - 144
-
9)
- W.-A. Zhang , L. Yu . New approach to stabilisation of networked control systems with time-varying delays. IET Control Theory Appl. , 12 , 1094 - 1104
-
10)
- Y.-B. Zhao , G.P. Liu , D. Rees . Design of a packet-based control framework for networked control systems. IEEE Trans. Control Syst. Technol. , 4 , 859 - 865
-
11)
- G. Nair , F. Fagnani , S. Zampieri , R. Evans . Feedback control under data rate constraints: an overview. IEEE Proc. , 1 , 108 - 137
-
12)
- Z. Wang , D.W.C. Ho , Y. Liu , X. Liu . Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements. Automatica , 3 , 684 - 691
-
13)
- H. Gao , T. Chen . New results on stability of discrete-time systems with time-varying state delay. IEEE Trans. Autom. Control , 2 , 328 - 334
-
14)
- G. Wei , Z. Wang , X. He , H. Shu . Filtering for networked stochastic time-delay systems with sector nonlinearity. IEEE Trans. Circuits Syst. II, Express Briefs , 1 , 71 - 75
-
15)
- Y.B. Zhao , G.P. Liu , D. Rees . Integrated predictive control and scheduling co-design for networked control systems. IET Control Theory Appl. , 1 , 7 - 15
-
16)
- He, Y.: `Delay-dependent robust stability and stabilization based on free-weighting matrices (in chinese)', 2004, PhD, Central South University, Institute of Information Science and Engineering, Changsha, China.
-
17)
- Y.S. Moon , P.G. Park , W.H. Kwon , Y.S. Lee . Delay-dependent robust stabilization of uncertain state-delayed systems. Int. J. Control , 14 , 1447 - 1455
-
18)
- G.P. Liu , J.X. Mu , D. Rees , S.C. Chai . Design and stability analysis of networked control systems with random communication time delay using the modified MPC. Int. J. Control , 4 , 288 - 297
-
19)
- G. Guo , H. Jin . A switching system approach to actuator assignment with limited channels. Int. J. Robust Nonlinear Control , 12 , 1407 - 1426
-
20)
- L. Zhang , Y. Shi , T. Chen , B. Huang . A new method for stabilization of networked control systems with random delays. IEEE Trans. Autom. Control , 8 , 1177 - 1181
-
21)
- M. Liu , D.W.C. Ho , Y. Niu . Stabilisation of Markovian jump linear system over networks with random communication delay. Automatica , 2 , 416 - 421
-
22)
- Wang, Y.-L., Yang, G.-H.: ` control of networked control systems with delay and packet disordering via predictive method', Proc. 2007 American Control Conf., 2007, p. 1021–1026.
-
23)
- E.G. Laurent , O. Francois , A. Mustapha . A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans. Autom. Control , 8 , 1171 - 1176
-
24)
- N. Vatanski , J.-P. Georges , H. Aubrun , E. Rondeau , S.-L. Jämsä-Jounel . Networked control with delay measurement and estimation. Control Eng. Prac. , 2 , 231 - 244
-
25)
- L. Zhang , P. Shi , M. Basin . Robust stability and stabilization of uncertain switched linear discrete time-delay systems. IET Control Theory Appl. , 7 , 606 - 614
-
26)
- Y. Xia , G.P. Liu , P. Shi , D. Rees , E.J.C. Thomas . New stability and stabilization conditions for systems with time-delay. Int. J. Syst. Sci. , 1 , 17 - 24
-
27)
- Y. He , M. Wu , Q.-L. Han , J.-H. She . Delay-dependent H∞ control of linear discrete-time systems with an interval-like time-varying delay. Int. J. Syst. Sci. , 4 , 427 - 436
-
28)
- P. Minero , M. Franceschetti , S. Dey , G.N. Nair . Data rate theorem for stabilization over time-varying feedback channels. IEEE Trans. Autom. Control , 2 , 243 - 255
-
29)
- H. Gao , X. Meng , T. Chen . Stabilization of networked control systems with a new delay characterization. IEEE Trans. Autom. Control , 9 , 2142 - 2148
-
1)