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 8619128
%A Holicki, Tobias
%A Scherer, Carsten W.
%B 2018 IEEE Conference on Decision and Control (CDC)
%D 2018
%K 310 EXC pn4
%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://ieeexplore.ieee.org/document/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{8619128,
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 = {2021-04-26T12:38:04.000+0200},
author = {Holicki, Tobias and Scherer, Carsten W.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2914c051f79dbcac42d3a7dda831e8075/simtechpuma},
booktitle = {2018 IEEE Conference on Decision and Control (CDC)},
doi = {10.1109/CDC.2018.8619128},
interhash = {82c7e7bc60c46aecc2f573cb794667fe},
intrahash = {914c051f79dbcac42d3a7dda831e8075},
issn = {2576-2370},
keywords = {310 EXC pn4},
month = dec,
pages = {6440-6445},
timestamp = {2021-04-26T10:38:04.000+0200},
title = {Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting $D$-Scalings},
url = {https://ieeexplore.ieee.org/document/8619128/},
year = 2018
}
