The observer-based feedback controller of a new linear networked control system (NCS) with both delays and packet dropouts is designed when the state information is not fully available. With the effects of transmission delays, NCSs are modeled as a discrete-time system with time-varying parameter. The occurrence of packet dropouts is modeled as a Bernoulli event in the NCSs. Under certain conditions, the observer-based controller is proved to render the corresponding NCSs exponentially mean-square stable based on Lyapunov stability theorem and matrix inequality theory. Finally, numerical simulations are included to demonstrate the theoretical results.
Issue Section:
Research Papers
References
1.
Jungers
, M.
, Castelan
, E. B.
, Moraes
, V. M.
, and Moreno
, U. F.
, 2013
, “A Dynamic Output Feedback Controller for NCS Based on Delay Estimates
,” Automatica
, 49
(3
), pp. 788
–792
.2.
Liu
, K.
, Fridman
, E.
, and Johansson
, K. H.
, 2015
, “Dynamic Quantization of Uncertain Linear Networked Control Systems
,” Automatica
, 59
(9
), pp. 248
–255
.3.
Kolmanovskii
, V.
, and Richard
, J. P.
, 1999
, “Stability of Some Linear Systems With Delays
,” IEEE Trans. Autom. Control
, 44
(5
), pp. 984
–989
.4.
Yue
, D.
, Han
, Q. L.
, and Lam
, J.
, 2005
, “Network-Based Robust H∞ Control of Systems With Uncertainty
,” Automatica
, 41
(6
), pp. 999
–1007
.5.
Zheng
, Y.
, and Fang
, H. J.
, 2004
, “Robust Fault-Tolerant Control of Networked Control System With Time-Varying Delays
,” J. Xi'an Jiaotong Univ.
, 38
(8
), pp. 804
–807
(in Chinese).6.
Zhang
, L.
, Shi
, Y.
, Chen
, T.
, and Huang
, B.
, 2005
, “A New Method for Stabilization of Networked Control Systems With Random Delays
,” IEEE Trans. Autom. Control
, 50
(8
), pp. 1177
–1181
.7.
Hu
, S. S.
, and Zhu
, Q. X.
, 2003
, “Stochastic Optimal Control and Analysis of Stability of Networked Control Systems With Long Delay
,” Automatica
, 39
(11
), pp. 1877
–1884
.8.
Pan
, I.
, Das
, S.
, and Gupta
, A.
, 2011
, “Tuning of an Optimal Fuzzy PID Controller With Stochastic Algorithms for Networked Control Systems With Random Time Delay
,” ISA Trans.
, 50
(1
), pp. 28
–36
.9.
Shi
, Y.
, and Yu
, B.
, 2011
“Robust Mixed H2/H∞ Control of Networked Control Systems With Random Time Delays in Both Forward and Backward Communication Links
,” Automatica
, 47
(4
), pp. 754
–760
.10.
Zhang
, W. A.
, and Yu
, L.
, 2008
, “Modelling and Control of Networked Control Systems With Both Network-Induced Delay and Packet-Dropout
,” Automatica
, 44
(12
), pp. 3206
–3210
.11.
Nilsson
, J.
, Bernhardsson
, B.
, and Wittenmark
, B.
, 1998
, “Stochastic Analysis and Control of Real-Time Systems With Random Time Delays
,” Automatica
, 34
(1
), pp. 57
–64
.12.
Tong
, S.
, Sui
, S. S.
, and Li
, Y.
, 2015
, “Observed-Based Adaptive Fuzzy Tracking Control for Switched Nonlinear Systems With Dead-Zone
,” IEEE Trans. Cybern.
, 45
(2
), pp. 2816
–2826
.13.
Lin
, C.
, Wang
, Z.
, and Yang
, F.
, 2009
, “Observer-Based Networked Control for Continuous-Time Systems With Random Sensor Delays
,” Automatica
, 45
(2
), pp. 578
–584
.14.
Jiang
, W.
, Dong
, C.
, Niu
, E.
, and Wang
, Q.
, 2015
, “Observer-Based Robust Fault Detection Filter Design and Optimization for Networked Control Systems
,” Math. Probl. Eng.
, 2015
, pp. 1
–13
.15.
Naghshtabrizi
, P.
, and Hespanha
, J. P.
, 2005
, “Designing an Observer-Based Controller for a Network Control System
,” 44th IEEE
CDC
, Dec. 12–15, pp. 848
–853
.16.
Tian
, E.
, Yue
, D.
, and Peng
, C.
, 2008
, “Quantized Output Feedback Control for Networked Control Systems
,” Inf. Sci.
, 178
(12
), pp. 2734
–2749
.17.
Luan
, X.
, Shi
, P.
, and Liu
, C. L.
, 2011
, “Stabilization of Networked Control Systems With Random Delays
,” IEEE Trans. Ind. Electron.
, 58
(9
), pp. 4323
–4330
.18.
Zhang
, W.
, Branicky
, M. S.
, and Phillips
, S. M.
, 2001
, “Stability of Networked Control Systems
,” IEEE Control Syst. Mag.
, 21
(1
), pp. 84
–99
.19.
Tarn
, T. J.
, and Rasis
, Y.
, 1976
, “Observers for Nonlinear Stochastic Systems
,” IEEE Trans. Autom. Control
, AC-21
(4
), pp. 441
–448
.20.
Yang
, F. W.
, Wang
, Z. D.
, Hung
, Y. S.
, and Gani
, M.
, 2006
, “H∞ Control for Networked Systems With Random Communication Delays
,” IEEE Trans. Autom. Control
, 51
(3
), pp. 511
–518
.21.
Wang
, Y.
, Xie
, L.
, and de Souza
, C. E.
, 1992
, “Robust Control of a Class of Uncertain Nonlinear Systems
,” Syst. Control Lett.
, 19
(2
), pp. 139
–149
.22.
Zhang
, J.
, and Feng
, G.
, 2014
, “Event-Driven Observer-Based Output Feedback Control for Linear Systems
,” Automatica
, 50
(7
), pp. 1852
–1859
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