This paper aims to compute the region of attraction (ROA) of equilibrium points whose location is modified by the uncertainties. The local stability region is formulated as an equilibrium-independent level set by restricting the attention to contractive functions which do not explicitly depend on the equilibrium. Another favourable feature of the approach is that it can be applied to systems having one or more branches of steady-state solutions (e.g. multistable systems). Inner estimates of the ROA are numerically computed by means of Sum of Square techniques, which allow to specify the allowed uncertainty range and the analyzed branch as set containment conditions, resulting in a compact and flexible formulation. A numerical example shows the application of the method and highlights its peculiar features.
|Original language||English (US)|
|Title of host publication||2018 IEEE Conference on Decision and Control, CDC 2018|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||6|
|State||Published - Jan 18 2019|
|Event||57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States|
Duration: Dec 17 2018 → Dec 19 2018
|Name||Proceedings of the IEEE Conference on Decision and Control|
|Conference||57th IEEE Conference on Decision and Control, CDC 2018|
|Period||12/17/18 → 12/19/18|
Bibliographical noteFunding Information:
*This work has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 636307, project FLEXOP. P. Seiler also acknowledges funding from the Hungarian Academy of Sciences, Institute for Computer Science and Control.