Contraction Theory Approach to Disturbance Observer Based Filtered Backstepping Design

Author:

Rayguru M. M.1,Kar I. N.2

Affiliation:

1. Department of Electrical Engineering, IIT Delhi, New Delhi 110016, India e-mail:

2. Professor Department of Electrical Engineering, IIT Delhi, New Delhi 110016, India e-mail:

Abstract

Various practical applications use filtered backstepping technique, which follows the same procedure as backstepping design but uses high gain filters to circumvent the analytical computation of derivatives. As a result, there exists a time-scale separation between the system dynamics and the fast filter dynamics. This paper proposes a new contraction theory-based technique to design a high gain disturbance observer-based filtered backstepping controller and to quantify the convergence bounds in terms of design parameters. The quantification of the bounds explicitly shows the dependency of the closed-loop performance on various parameters, which in turn provide more ways to tune the performance apart from reducing the magnitude of filter parameter. Unlike the existing results, the proposed approach relaxes the conservative restriction, required on the filter parameter to achieve a satisfactory closed loop performance. The efficacy of the proposed method is verified through simulation examples.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference31 articles.

1. A Toolkit for Nonlinear Feedback Design;Syst. Control Lett.,1992

2. Flexible Backstepping Design for Tracking and Disturbance Attenuation;Int. J. Robust Nonlinear Control,1998

3. Jouffroy, J., and Lottin, J., 2002, “Integrator Backstepping Using Contraction Theory: A Brief Technological Note,” 15th IFAC World Congress, Barcelona, Spain, July 21–26, pp. 238–244.https://pdfs.semanticscholar.org/3a5a/cff51d289eb495ad2ec2956a10a309b3c034.pdf

4. Backstepping Design for Incremental Stability;IEEE Trans. Autom. Control,2011

5. Dynamic Surface Control for a Class of Nonlinear Systems;IEEE Trans. Autom. Control,2000

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3