A class of networked control systems called Model-Based Networked Control Systems (MB-NCSs) is considered. Stabilization of MB-NCSs is studied using feedback controls and simulation of stabilization for different feedbacks is made with the purpose to reduce the network trafic. The feedback control input is applied in a compensated model of the plant that approximates the plant dynamics and stabilizes the plant even under slow network conditions. Conditions for global exponential stabilizability and for the choosing of a feedback control input for a given constant time between the information moments of the network are derived. An optimal control problem to obtain an optimal feedback control is also presented.
REFERENCES
1.
R. W.
Brockett
, “Minimum Attention Control
,” in Proceedings of the 36th IEEE Conference on Decision and Control
, San Diego, California USA
, 1997
, pp. 2628
–2632
.2.
N.
Elia
and S. K.
Mitter
, “Stabilization of Linear Systems with Limited Information
,” IEEE Transactions on Automatic Control
46
(9
), 1384
–1400
(2001
).3.
G. N.
Nair
and R. J.
Evans
, “Communication-Limited Stabilization of Linear Systems
,” in Proceedings of the 39th IEEE Conference on Decision and Control
, Sydney, NSW
, 2000
, pp. 1005
–1010
.4.
I. R.
Petersen
and A. V.
Savkin
, “Multi-Rate Stabilization of Multivariable Discrete-Time Linear Systems via a Limited Capacity Communication Channel
,” in Proceedings of the 40th IEEE Conference on Decision and Control
, Orlando, FL
, 2001
, pp. 304
–309
.5.
H.
Rehbinder
and M.
Sanfridson
, “Scheduling of a Limited Communication Channel for Optimal Control
,” in Proceedings of the 39th IEEE Conference on Decision and Control
, Sydney, NSW
, 2000
, pp. 1011
–1016
.6.
T.
Estrada
and P. J.
Antsaklis
, “Stability of Model-Based Networked Control Systems with Intermittent Feedback
,” in Proceedings of the 17th IFAC World Congress
, COEX, South Korea
, 2008
, pp. 12581
–12586
.7.
E.
Garcia
and P. J.
Antsaklis
, “Model-Based Event-Triggered Control for Systems with Quantization and Time-Varying Network Delays
,” IEEE Transactions on Automatic Control
58
(2
), 422
–434
(2012
).8.
E.
Garcia
, P. J.
Antsaklis
, and L. A.
Montestruque
, Model-Based Control of Networked Systems, Systems & Control: Foundations & Applications
, Birkhäuser Basel
, 2014
.9.
L. A.
Montestruque
and P. J.
Antsaklis
, “Model-Based Networked Control Systems - Stability
,” ISIS Technical Report ISIS-2002-001, University of Notre Dame
, January 2002
.10.
L. A.
Montestruque
and P. J.
Antsaklis
, “Model-Based Networked Control Systems - Necessary and Sufficient Conditions for Stability
,” in Proceedings of the 10th Mediterranean Conference on Control and Automation
, Lisbon, Portugal
, 2002
.11.
L. A.
Montestruque
and P. J.
Antsaklis
, “State and Output Feedback Control in Model-Based Networked Control Systems
,” in Proceedings of the 41st IEEE Conference on Decision and Control
, Las Vegas, NV, USA
, 2002
, pp. 1620
–1625
.12.
L. A.
Montestruque
and P. J.
Antsaklis
, “On the Model-Based Control of Networked Systems
,” Automatica
39
(10
), 1837
–1843
(2003
).13.
L. A.
Montestruque
and P. J.
Antsaklis
, “Stability of Model-Based Networked Control Systems with Time-Varying Transmission Times
,” IEEE Transactions on Automatic Control. Special Issue on Networked Control Systems
49
(9
), 1562
–1572
(2004
).14.
L. A.
Montestruque
and P. J.
Antsaklis
, “Networked Control Systems: A Model-Based Approach,” in Handbook of Networked and Embedded Control Systems
, edited by D.
Hristu-Varsakelis
and W. S.
Levine
, Birkhäuser Boston
, 2005
, pp. 601
–625
.15.
L. A.
Montestruque
and P. J.
Antsaklis
, “Quantization in Model Based Networked Control Systems
,” in Proceedings of the 16th IFAC World Congress
, Prague, Czech Republic
, 2005
.16.
X.-M.
Tang
and J.-S.
Yu
, “Feedback Scheduling of Model-Based Networked Control Systems with Flexible Workload
,” International Journal of Automation and Computing
5
(4
), 389
–394
(2008
).17.
Z.
Wang
, W.
Pan
, and G.
Guo
, “Stability of Model-Based Networked Control System with Quantized Feedback
,” in Proceedings of the 3rd International Conference on Innovative Computing Information and Control
, Dalian, Liaoning
, 2008
.18.
S.
Geršgorin
(S.
Gerschgorin
), “Über die Abgrenzung der Eigenwerte einer Matrix
,” Bulletin de l’Académie des Sciences de l’URSS. Classe des sciences mathématiques et naturelles
6
, 749
–754
(1931
).19.
R. S.
Varga
, Geršgorin and His Circles
, Springer Series in Computational Mathematics, Berlin
: Springer-Verlag
, 2004
.
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