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Abstract: In this paper we analyze the Scale-Independent Hysteresis Switching Logic introduced in recent work. We show that, under suitable %pen-loop" assumptions, one can establish an upper bound on the number of switchings produced by the logic on any given interval. This bound comes as a function of the variation of the inputs to the logic on that interval. In this paper it is also shown that, in a supervisory control context, this leads to switching that is slow-on-the-average, allowing us to study... (Update)
Context of citations to this paper: More
.... avoided a xed dwell time, and have been mostly 3 based on hysteresis switching [17, 18] or on its more recent scale independent version [11, 19]. To date, the analysis of algorithms based on hysteresis switching relied heavily on showing that switching stops in nite time [10,...
...as well as some alternatives, will be discussed later. One reason for requiring 7 to be finite is to be able to use the result from [9] stated next. Given arbitrary numbers t to 0, we will denote by N(t, to) the number of discontinuities of cr on the interval (to,...
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BibTeX entry: (Update)
J. P. Hespanha and A. S. Morse, \Bounds on the number of switchings with scale-independent hysteresis: Applications to supervisory control." Submitted to the 39th Conf. on Decision and Contr., Feb. 2000. http://citeseer.ist.psu.edu/hespanha00bounds.html More
@misc{ hespanha00bounds,
author = "J. Hespanha and A. Morse",
title = "Bounds on the number of switchings with scale-independent hysteresis: Applications
to supervisory control",
text = "J. P. Hespanha and A. S. Morse, \Bounds on the number of switchings with
scale-independent hysteresis: Applications to supervisory control. Submitted
to the 39th Conf. on Decision and Contr., Feb. 2000.",
year = "2000",
url = "citeseer.ist.psu.edu/hespanha00bounds.html" }
Citations (may not include all citations):93 Supervisory control of families of linear set-point controll.. - Morse - 1996
93 Supervisory control of families of lin- ear set-point contro.. - Morse - 1997
48 Certainty equiv- alence implies detectability - Hespanha, Morse - 1999
35 Logic-Based Switching Algorithms in Control - Hespanha - 1998
34 Adaptive control using multiple models (context) - Narendra, Balakrishnan - 1997
32 Stability of switched systems with average dwell-time - Hespanha, Morse - 1999
27 Applications of hysteresis switching in parameter adaptive c.. (context) - Morse, Mayne et al. - 1992
25 Design issues in adaptive control (context) - Middleton, Goodwin et al. - 1988
19 Parallel algorithms for adaptive control: Robust stability (context) - Pair, Kassab - 1997
16 Model and con- troller selection policies based on output pr.. (context) - Kulkarni, Ramadge - 1996
16 Logicbased switching control of a nonholonomic system with p.. - Hespanha, Liberzon et al. - 1999
9 Supervisory field-oriented control of induction motors with .. - Chang, Hespanha et al. - 1998
9 Scale-independent hysteresis switching - Hespanha, Morse - 1999
9 Supervisory control of integral-input-to-state stabilizing c.. - Hespanha, Morse - 1999
7 Supervisory control of families of noise suppressing control.. - Fujii, Hespanha et al. - 1998
6 Switching control of a family of plants (context) - Chang, Davison - 1995
5 Bounds on the number of switchings with scale-independent hy.. - Hespanha, Liberzon et al. - 2000
5 Hier- archical hysteresis switching - Liberzon, Hespanha et al. - 2000
3 Controller switching based on output prediction errors (context) - Hockerman-Frommer, Kulkarni et al. - 1998
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