@inproceedings{e4e7e7a8f5244937a699ba95d881ed5b,
title = "Joint synthesis of switching and feedback for linear systems in discrete time",
abstract = "The paper is concerned with control of switched linear systems, and proves two new fundamental results (equivalence and separation) about feedback policies for these systems. Addressed is the problem of jointly synthesizing a switching rule and a feedback controller for guaranteed stability and performance levels subject to well-posedness-like constraints. Two main results of the paper are the equivalence of open-loop and closed-loop switching, and the separation between switching and feedback. That is, open-loop switching rules are non-conservative for stabilization and performance optimization, and in output feedback control they can be obtained separately from the feedback controller. The synthesis conditions for switching and feedback are convex and expressed in terms of linear matrix inequalities.",
keywords = "Feedback control, Hybrid systems, Linear matrix inequality, Small gain property, Stability",
author = "Lee, \{Ji Woong\} and Dullerud, \{Geir E.\}",
year = "2011",
doi = "10.1145/1967701.1967731",
language = "English (US)",
isbn = "9781450306294",
series = "HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control",
pages = "201--209",
booktitle = "HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems",
note = "14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011 ; Conference date: 12-04-2011 Through 14-04-2011",
}