TY - JOUR
T1 - Stability and L 2-gain analysis of Networked Control Systems under Round-Robin scheduling
T2 - A time-delay approach
AU - Liu, Kun
AU - Fridman, Emilia
AU - Hetel, Laurentiu
PY - 2012/5
Y1 - 2012/5
N2 - This paper analyzes the exponential stability and the induced L 2-gain of Networked Control Systems (NCS) that are subject to time-varying transmission intervals, time-varying transmission delays and communication constraints. The system sensor nodes are supposed to be distributed over a network. The scheduling of sensor information towards the controller is ruled by the classical Round-Robin protocol. We develop a time-delay approach for this problem by presenting the closed-loop system as a switched system with multiple and ordered time-varying delays. Linear Matrix Inequalities (LMIs) are derived via appropriate Lyapunov-Krasovskii-based methods. Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the batch reactor and on the cart-pendulum benchmark problems. Our results essentially improve the hybrid system-based ones and, for the first time, allow treating the case of non-small network-induced delay, which can be greater than the sampling interval.
AB - This paper analyzes the exponential stability and the induced L 2-gain of Networked Control Systems (NCS) that are subject to time-varying transmission intervals, time-varying transmission delays and communication constraints. The system sensor nodes are supposed to be distributed over a network. The scheduling of sensor information towards the controller is ruled by the classical Round-Robin protocol. We develop a time-delay approach for this problem by presenting the closed-loop system as a switched system with multiple and ordered time-varying delays. Linear Matrix Inequalities (LMIs) are derived via appropriate Lyapunov-Krasovskii-based methods. Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the batch reactor and on the cart-pendulum benchmark problems. Our results essentially improve the hybrid system-based ones and, for the first time, allow treating the case of non-small network-induced delay, which can be greater than the sampling interval.
KW - Lyapunov-Krasovskii method
KW - Networked Control Systems
KW - Scheduling protocols
UR - http://www.scopus.com/inward/record.url?scp=84859504229&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2012.03.002
DO - 10.1016/j.sysconle.2012.03.002
M3 - Article
AN - SCOPUS:84859504229
SN - 0167-6911
VL - 61
SP - 666
EP - 675
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 5
ER -