Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and inf
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REVIEW
Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems Ze-Hao Wu · Hua-Cheng Zhou Feiqi Deng
· Bao-Zhu Guo ·
Received: 8 December 2019 / Accepted: 25 July 2020 © Springer Nature B.V. 2020
Abstract The active disturbance rejection control (AD RC), first proposed by Jingqing Han in late 1980s, is a powerful control technology being able to deal with external disturbances and internal uncertainties in large scale for control systems in engineering applications. This survey paper will articulate, from a theoretical perspective, the origin, ideology and progress of ADRC for not only uncertain finite-dimensional systems but also uncertain infinite-dimensional ones. Some recent theoretical developments, general framework and unsolved problems of ADRC for finite-dimensional systems with mismatched disturbances and uncertainties by output feedback, uncertain finite-dimensional stochastic sys-
tems, uncertain infinite-dimensional systems described by both the wave equation and the fractional-order partial differential equation are successively addressed, from which we see the challenges and opportunities for this remarkable emerging control technology to various types of control systems. Keywords Active disturbance rejection control · Extended state observer · Boundary control · Disturbance · Stochastic systems · Infinite-dimensional systems · Fractional-order PDE
1 Introduction Z.-H. Wu School of Mathematics and Big Data, Foshan University, Foshan 528000, China e-mail: [email protected] H.-C. Zhou (B) School of Mathematics and Statistics, Central South University, Changsha 410075, China e-mail: [email protected] B.-Z. Guo School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China e-mail: [email protected] B.-Z. Guo Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China F. Deng (B) Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China e-mail: [email protected]
Copying with disturbances and uncertainties is the eternal theme in control theory due to the ubiquitousness of the uncertainties and disturbances in most of the industrial control systems, which most often cause negative effects on performance and even stability of control systems [1–4]. There many control approaches have been developed since 1970s to cope with disturbances or uncertainties through disturbance attenuation and disturbance rejection. Among many others, stochastic control [5–9] and robust control [10–14] are two major disturbance attenuation methods, where the former is often applicable for attenuating disturbances in the form of noises with known statistical characteristics and the latter is to deal with more general norm bounded disturbances and uncertainties without concerning their statistical characteristics. For robust con-
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trol approaches, the H∞ and H2 control approaches have been developed to attenuate
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