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2018 | OriginalPaper | Chapter

A Novel Continuous Feedback Control for Rapidly Exponentially Stabilisation of Mechanical Systems

Authors : Tian Shi, Zhongbo Sun

Published in: Proceedings of 2017 Chinese Intelligent Automation Conference

Publisher: Springer Singapore

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Abstract

In this paper, stabilization in accelerated time with continuous state feedback control is considered for mechanical systems. A general approach to construct Lyapunov functions that can be used to show rapidly exponential stability of the feedback controlled systems is developed. Furthermore, the continuous feedback control does not lead to chattering phenomena in the presence of measurement noise. The rapidly exponentially stabilization scheme given here generalizes this prior research to multiple degree-of-freedom mechanical comparison is carried out through numerical simulations on two classical nonlinear systems that are representative of a broad class of mechanical systems.

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Metadata
Title
A Novel Continuous Feedback Control for Rapidly Exponentially Stabilisation of Mechanical Systems
Authors
Tian Shi
Zhongbo Sun
Copyright Year
2018
Publisher
Springer Singapore
Book
Proceedings of 2017 Chinese Intelligent Automation Conference

Print ISBN: 978-981-10-6444-9

Electronic ISBN: 978-981-10-6445-6

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-6445-6_7