TY - GEN
T1 - Sampled-data stabilization via round-robin scheduling
T2 - A direct Lyapunov-Krasovskii approach
AU - Liu, Kun
AU - Fridman, Emilia
AU - Hetel, Laurentiu
AU - Richard, Jean Pierre
N1 - Funding Information:
⋆ This work was partially supported by Israel Science Foundation (grant No 754/10) and by China Scholarship Council.
PY - 2011
Y1 - 2011
N2 - This paper studies stabilization of networked control systems with communication constraints, variable sampling interval and delay. We focus on static output feedback controllers for linear systems. The system sensors nodes are supposed to be distributed over a network. Data transmission over the network is subject to the Round-Robin scheduling protocol. We present the closed-loop system as a switched system with multiple delayed samples. By constructing an appropriate Lyapunov functional, which takes into account the switched system model and the sawtooth delays induced by sampled-data control, we derive the exponential stability conditions in terms of Linear Matrix Inequalities (LMIs). Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the classical cart-pendulum benchmark problem.
AB - This paper studies stabilization of networked control systems with communication constraints, variable sampling interval and delay. We focus on static output feedback controllers for linear systems. The system sensors nodes are supposed to be distributed over a network. Data transmission over the network is subject to the Round-Robin scheduling protocol. We present the closed-loop system as a switched system with multiple delayed samples. By constructing an appropriate Lyapunov functional, which takes into account the switched system model and the sawtooth delays induced by sampled-data control, we derive the exponential stability conditions in terms of Linear Matrix Inequalities (LMIs). Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the classical cart-pendulum benchmark problem.
KW - Lyapunov-Krasovskii method
KW - Networked control systems
KW - Round-Robin scheduling
UR - https://www.scopus.com/pages/publications/84866754589
U2 - 10.3182/20110828-6-IT-1002.02528
DO - 10.3182/20110828-6-IT-1002.02528
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AN - SCOPUS:84866754589
SN - 9783902661937
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 1459
EP - 1464
BT - Proceedings of the 18th IFAC World Congress
PB - IFAC Secretariat
ER -