Hierarchical hysteresis switching

Daniel Liberzon; João P. Hespanha; A. Stephen Morse

doi:10.1109/CDC.2000.912812

Hierarchical hysteresis switching

Daniel Liberzon, João P. Hespanha, A. Stephen Morse

Research output: Contribution to journal › Article › peer-review

Abstract

We describe a new switching logic, called "hierarchical hysteresis switching", and establish a bound on the number of switchings produced by this logic on a given interval. The motivating application is the problem of controlling a linear system with large modeling uncertainty. We consider a control algorithm consisting of a finite family of linear controllers supervised by the hierarchical hysteresis switching logic. In this context, the bound on the number of switching enables us to prove stability of the closed-loop system in the presence of noise, disturbances, and unmodeled dynamics.

Original language	English (US)
Pages (from-to)	484-489
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
DOIs	https://doi.org/10.1109/CDC.2000.912812
State	Published - Dec 2000

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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AB - We describe a new switching logic, called "hierarchical hysteresis switching", and establish a bound on the number of switchings produced by this logic on a given interval. The motivating application is the problem of controlling a linear system with large modeling uncertainty. We consider a control algorithm consisting of a finite family of linear controllers supervised by the hierarchical hysteresis switching logic. In this context, the bound on the number of switching enables us to prove stability of the closed-loop system in the presence of noise, disturbances, and unmodeled dynamics.

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Hierarchical hysteresis switching

Abstract

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