We derive novel criteria for robust stability and output-feedback gain-scheduling controller synthesis for a class of switched systems that are affected by piecewise constant parameters with dwell-time constraints. Our findings are based on clock-dependent Lyapunov arguments and rely, in contrast to other approaches, on separation techniques from robust control involving dynamic multipliers. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved by, e.g., using sum-of-squares relaxation methods. We illustrate our results with a numerical example.
%0 Conference Paper
%1 HolSch18b
%A Holicki, Tobias
%A Scherer, Carsten W.
%B 57th IEEE Conf. Decision and Control
%D 2018
%K myown from:tobiasholicki EXC310 pn4 peerReviewed imng
%P 6440-6445
%R 10.1109/CDC.2018.8619128
%T Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting $D$-Scalings
%U https://doi.org/10.1109/CDC.2018.8619128
%X We derive novel criteria for robust stability and output-feedback gain-scheduling controller synthesis for a class of switched systems that are affected by piecewise constant parameters with dwell-time constraints. Our findings are based on clock-dependent Lyapunov arguments and rely, in contrast to other approaches, on separation techniques from robust control involving dynamic multipliers. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved by, e.g., using sum-of-squares relaxation methods. We illustrate our results with a numerical example.
@inproceedings{HolSch18b,
abstract = {We derive novel criteria for robust stability and output-feedback gain-scheduling controller synthesis for a class of switched systems that are affected by piecewise constant parameters with dwell-time constraints. Our findings are based on clock-dependent Lyapunov arguments and rely, in contrast to other approaches, on separation techniques from robust control involving dynamic multipliers. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved by, e.g., using sum-of-squares relaxation methods. We illustrate our results with a numerical example.},
added-at = {2022-10-15T17:26:02.000+0200},
author = {Holicki, Tobias and Scherer, Carsten W.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/275fecc1a635404e82e39c11e28d4ef71/mst},
booktitle = {57th IEEE Conf. Decision and Control},
datadoi = {10.24433/CO.6595809.v1},
doi = {10.1109/CDC.2018.8619128},
interhash = {82c7e7bc60c46aecc2f573cb794667fe},
intrahash = {75fecc1a635404e82e39c11e28d4ef71},
keywords = {myown from:tobiasholicki EXC310 pn4 peerReviewed imng},
pages = {6440-6445},
timestamp = {2024-03-12T10:23:46.000+0100},
title = {Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting ${D}$-Scalings},
url = {https://doi.org/10.1109/CDC.2018.8619128},
year = 2018
}
