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.
|Title of host publication||57th IEEE Conference on Decision and Control, CDC 2018, Dec 2018, Miami, United States. 2018|
|Place of Publication||Piscataway|
|Publisher||Institute of Electrical and Electronics Engineers|
|Number of pages||6|
|Publication status||Published - 18 Jan 2019|
Heijmans, S. H. J., Nešić, D., Postoyan, R., & Heemels, W. P. M. H. (2019). A generalized hybrid Lyapunov proof for networked control systems: improving the maximum allowable transmission interval . In 57th IEEE Conference on Decision and Control, CDC 2018, Dec 2018, Miami, United States. 2018 (pp. 428-433).  Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2018.8619687