Bounds on the number of switchings with scale-independent hysteresis: Applications to supervisory control

被引：0

作者：

Hespanha, JP ^{[1
]}

Liberzon, D ^{[1
]}

Morse, AS ^{[1
]}

机构：

[1] Univ So Calif, Dept Elect Engn Syst, Los Angeles, CA 90089 USA

来源：

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 2000年

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D O I：

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中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we analyze the Scale-Independent Hysteresis Switching Logic introduced in recent work. We show that, under suitable "open-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 the stability of hysteresis-based adaptive control systems in the presence of measurement noise.

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页码：3622 / 3627

页数：6