TY - GEN
T1 - A generalized hybrid Lyapunov proof for networked control systems
T2 - improving the maximum allowable transmission interval
AU - Heijmans, S.H.J.
AU - Nešić, Dragan
AU - Postoyan, Romain
AU - Heemels, W.P.M.H.
PY - 2019/1/18
Y1 - 2019/1/18
N2 - A popular design framework for networked control systems (NCSs) is the emulation-based approach combined with hybrid dynamical systems analysis techniques. In the rich literature regarding this framework, various bounds on the maximal allowable transmission interval (MATI) are provided to guarantee stability properties of the NCS using Lyapunov-based arguments for hybrid systems. In this work, we provide a generalization of these Lyapunov-based proofs, showing how the existing results for the MATI can be improved by only considering a different, more general hybrid Lyapunov function, while not altering the conditions in the analysis itself.
AB - A popular design framework for networked control systems (NCSs) is the emulation-based approach combined with hybrid dynamical systems analysis techniques. In the rich literature regarding this framework, various bounds on the maximal allowable transmission interval (MATI) are provided to guarantee stability properties of the NCS using Lyapunov-based arguments for hybrid systems. In this work, we provide a generalization of these Lyapunov-based proofs, showing how the existing results for the MATI can be improved by only considering a different, more general hybrid Lyapunov function, while not altering the conditions in the analysis itself.
UR - http://www.scopus.com/inward/record.url?scp=85062174307&partnerID=8YFLogxK
U2 - 10.1109/CDC.2018.8619687
DO - 10.1109/CDC.2018.8619687
M3 - Conference contribution
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 428
EP - 433
BT - 57th IEEE Conference on Decision and Control, CDC 2018, Dec 2018, Miami, United States. 2018
PB - Institute of Electrical and Electronics Engineers
CY - Piscataway
ER -