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The funnel pre-compensator

delete2018-08-03
delete10
PRE
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T
Thomas Berger *
T
Timo Reis
DOI:10.1002/rnc.4281delete
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Abstract

Abstract

En 中文
We introduce the funnel pre-compensator as a novel and simple adaptive pre-compensator of high-gain type. We show that this pre-compensator is feasible for a large class of signal pairs, which satisfy a certain relationship. We show that the funnel pre-compensator guarantees prescribed transient behavior of the compensator error, it is of low complexity and inherently robust since its design is model-free. As an application in adaptive control of nonlinear systems, a cascade of funnel pre-compensators is exploited to obtain an artificial output with explicitly known derivatives, which tracks the system output with prescribed transient behavior. In some important cases the interconnection of the system with the pre-compensator cascade is shown to have input-to-state stable internal dynamics. This guarantees feasibility of a novel funnel controller that consists of a funnel pre-compensator cascade in conjunction with a recently developed funnel controller for systems with arbitrary relative degree. We illustrate the application of this interconnection for some mechanical systems.
Keywords:
adaptive control
funnel control
funnel pre-compensator
high-gain observer
internal dynamics
nonlinear systems
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Journal

International Journal of Robust and Nonlinear Control cover
International Journal of Robust and Nonlinear Control
IF:
3.2
Papers:
6.9K
Citations:
1.4W

Organization

U
university of hamburg
Scholars:
3.7W
Papers: 2.9W
Citations: 30