Dither for smoothing relay feedback systems. Iannelli, L., Johansson, K. H, Jönsson, U. T, & Vasca, F. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50(8):1025–1035, 2003.
Dither for smoothing relay feedback systems [link]Paper  doi  abstract   bibtex   
Dither signals provide an effective way to compensate for nonlinearities in control systems. The seminal works by Zames and Shneydor, and more recently, by Mossaheb, present rigorous tools for systematic design of dithered systems. Their results rely, however, on a Lipschitz assumption relating to nonlinearity, and thus, do not cover important applications with discontinuities. This paper presents initial results on how to analyze and design dither in nonsmooth systems. In particular, it is shown that a dithered relay feedback system can be approximated by a smoothed system. Guidelines are given for tuning the amplitude and the period time of the dither signal, in order to stabilize the nonsmooth system.
@article{iannelli_dither_2003,
	title = {Dither for smoothing relay feedback systems},
	volume = {50},
	copyright = {All rights reserved},
	url = {http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=1219561&queryText%3D%28dither+for+smoothing+relay+feedback+systems%29%26openedRefinements%3D*%26matchBoolean%3Dtrue%26rowsPerPage%3D30%26searchField%3DSearch+All},
	doi = {10.1109/TCSI.2003.815194},
	abstract = {Dither signals provide an effective way to compensate for nonlinearities in control systems. The seminal works by Zames and Shneydor, and more recently, by Mossaheb, present rigorous tools for systematic design of dithered systems. Their results rely, however, on a Lipschitz assumption relating to nonlinearity, and thus, do not cover important applications with discontinuities. This paper presents initial results on how to analyze and design dither in nonsmooth systems. In particular, it is shown that a dithered relay feedback system can be approximated by a smoothed system. Guidelines are given for tuning the amplitude and the period time of the dither signal, in order to stabilize the nonsmooth system.},
	number = {8},
	journal = {IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications},
	author = {Iannelli, Luigi and Johansson, Karl H and Jönsson, Ulf T and Vasca, Francesco},
	year = {2003},
	pages = {1025--1035},
}

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