{"title":"Robust interval estimation of state and unknown inputs for linear continuous-time systems: An L1gain characterization","authors":"Dang Khai Nguyen , Thach Ngoc Dinh , Zhenhua Wang , Tarek Raïssi","doi":"10.1016/j.ejcon.2024.101172","DOIUrl":null,"url":null,"abstract":"<div><div>This paper introduces a robust interval observer to address the problem of state and unknown input estimation for linear continuous-time systems subject to unknown but bounded disturbances and measurement noise. Firstly, a decoupling method is presented to reduce the unknown input effect on the state dynamics. This transforms the estimation problem into the design of an observer for a singular model representation. Secondly, we propose a continuous-time TNL approach that incorporates weighting matrices including the traditional gain of the observer for this singular system. A novel stability analysis for the error system utilizing the <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> norm is used. Through a numerical example of a fifth-order lateral axis model of a fixed-wing aircraft system, the efficiency of the proposed design approach is illustrated.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101172"},"PeriodicalIF":2.5000,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Control","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0947358024002322","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper introduces a robust interval observer to address the problem of state and unknown input estimation for linear continuous-time systems subject to unknown but bounded disturbances and measurement noise. Firstly, a decoupling method is presented to reduce the unknown input effect on the state dynamics. This transforms the estimation problem into the design of an observer for a singular model representation. Secondly, we propose a continuous-time TNL approach that incorporates weighting matrices including the traditional gain of the observer for this singular system. A novel stability analysis for the error system utilizing the norm is used. Through a numerical example of a fifth-order lateral axis model of a fixed-wing aircraft system, the efficiency of the proposed design approach is illustrated.
期刊介绍：
The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field.
The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering.
The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications.
Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results.
The design and implementation of a successful control system requires the use of a range of techniques:
Modelling
Robustness Analysis
Identification
Optimization
Control Law Design
Numerical analysis
Fault Detection, and so on.
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