TY - GEN
T1 - Networked control under round-robin protocol
AU - Fridman, Emilia
AU - Liu, Kun
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014
Y1 - 2014
N2 - The existing results on Networked Control Systems (NCSs) in the presence of variable sampling intervals, communication delays and scheduling protocols (in the frameworks of hybrid and discrete-time systems) are confined to small communication delays (that are smaller than the sampling intervals). Recently the time-delay approach was suggested to NCSs with N = 2 sensors under Round-Robin (RR) and Try-Once-Discard (TOD) protocols [1], [2], where communication delays were allowed to be non-small. The objective of this paper is to extend the time-delay approach to NCSs under RR protocol with a general number N ≥ 2 of sensor nodes. To derive simple conditions we suggest a novel hybrid system model for the closed-loop system with time-varying delays in the dynamics and in the reset conditions. A new Lyapunov-Krasovskii method is introduced for the exponential stability of the resulting delayed hybrid systems. For the case of two sensors, the resulting conditions are computationally simpler than the existing ones of [1]. The communication delays are allowed to be greater than the sampling intervals. Polytopic type uncertainties in the system model can be easily included in the analysis. The efficiency of the time-delay approach is illustrated on the example of uncertain cart-pendulum.
AB - The existing results on Networked Control Systems (NCSs) in the presence of variable sampling intervals, communication delays and scheduling protocols (in the frameworks of hybrid and discrete-time systems) are confined to small communication delays (that are smaller than the sampling intervals). Recently the time-delay approach was suggested to NCSs with N = 2 sensors under Round-Robin (RR) and Try-Once-Discard (TOD) protocols [1], [2], where communication delays were allowed to be non-small. The objective of this paper is to extend the time-delay approach to NCSs under RR protocol with a general number N ≥ 2 of sensor nodes. To derive simple conditions we suggest a novel hybrid system model for the closed-loop system with time-varying delays in the dynamics and in the reset conditions. A new Lyapunov-Krasovskii method is introduced for the exponential stability of the resulting delayed hybrid systems. For the case of two sensors, the resulting conditions are computationally simpler than the existing ones of [1]. The communication delays are allowed to be greater than the sampling intervals. Polytopic type uncertainties in the system model can be easily included in the analysis. The efficiency of the time-delay approach is illustrated on the example of uncertain cart-pendulum.
KW - Lyapunov-Krasovskii method
KW - hybrid system
KW - networked control systems
KW - scheduling protocol
KW - time-delay
UR - http://www.scopus.com/inward/record.url?scp=84940674813&partnerID=8YFLogxK
U2 - 10.1109/CDC.2014.7040338
DO - 10.1109/CDC.2014.7040338
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AN - SCOPUS:84940674813
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6062
EP - 6067
BT - 53rd IEEE Conference on Decision and Control,CDC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 15 December 2014 through 17 December 2014
ER -