Abstract
The sliding mode observer, containing nonlinear discontinuous function, is applicable for estimating the system state and the unknown disturbance. However, the traditional single-layer observer might still suffer from high pulse when the output measurement is mixed with noise. To improve the estimation quality, a new cascade sliding mode observer containing multiple nonlinear discontinuous functions is proposed in this paper. The proposed observer consists of two layers: the first layer is a traditional sliding mode observer, and the second layer is a cascade observer. The measurement noise issue is considered in the source system model. An alternative method about how to design the observer gains of the two layers, together with how to examine the effectiveness of the compensator based closed-loop system, are offered. A numerical example is provided to demonstrate the effectiveness of the proposed method. The observation structure proposed in this paper not only smooths the estimated state but also reduces the control consumption.
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Disturbance Estimation and Compensation Controller based on Cascade Sliding Mode Observer Containing Multi-nonlinear-discontinuous Functions | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 25 January 2025 V1 Latest version Share on Disturbance Estimation and Compensation Controller based on Cascade Sliding Mode Observer Containing Multi-nonlinear-discontinuous Functions Authors : Yiyong Sun , Xingan Liu , Zhang Chen , Shijun Wei , Guang Zhai [email protected] , and Bin Liang 0000-0002-7163-345X Authors Info & Affiliations https://doi.org/10.22541/au.173780081.13470711/v1 Published International Journal of Systems Science Version of record Peer review timeline 276 views 147 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The sliding mode observer, containing nonlinear discontinuous function, is applicable for estimating the system state and the unknown disturbance. However, the traditional single-layer observer might still suffer from high pulse when the output measurement is mixed with noise. To improve the estimation quality, a new cascade sliding mode observer containing multiple nonlinear discontinuous functions is proposed in this paper. The proposed observer consists of two layers: the first layer is a traditional sliding mode observer, and the second layer is a cascade observer. The measurement noise issue is considered in the source system model. An alternative method about how to design the observer gains of the two layers, together with how to examine the effectiveness of the compensator based closed-loop system, are offered. A numerical example is provided to demonstrate the effectiveness of the proposed method. The observation structure proposed in this paper not only smooths the estimated state but also reduces the control consumption. Supplementary Material File (figures.zip) Download 1.94 MB File (irnc-250123.pdf) Download 1.40 MB Information & Authors Information Version history V1 Version 1 25 January 2025 Peer review timeline Published International Journal of Systems Science Version of Record 26 Jul 2025 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords cascade observer compensation controller disturbance estimation multi-nonlinear-discontinuous functions sliding mode Authors Affiliations Yiyong Sun Beijing Institute of Technology View all articles by this author Xingan Liu Beijing Institute of Technology View all articles by this author Zhang Chen Tsinghua University View all articles by this author Shijun Wei Beijing Institute of Technology View all articles by this author Guang Zhai [email protected] Beijing Institute of Technology View all articles by this author Bin Liang 0000-0002-7163-345X Tsinghua University View all articles by this author Metrics & Citations Metrics Article Usage 276 views 147 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Yiyong Sun, Xingan Liu, Zhang Chen, et al. Disturbance Estimation and Compensation Controller based on Cascade Sliding Mode Observer Containing Multi-nonlinear-discontinuous Functions. Authorea . 25 January 2025. 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