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Control Theory and Technology

, Volume 14, Issue 3, pp 199–208 | Cite as

On ADRC for non-minimum phase systems: canonical form selection and stability conditions

  • Wenchao Xue
  • Yi Huang
  • Zhiqiang Gao
Article

Abstract

Active disturbance rejection control (ADRC), as proposed by Prof. Jingqing Han, reduces first the plant dynamics to its canonical form, normally in the form of cascade integrators, for which the standard controller can be employed to meet the design specifications. This paper concerns with the selection of the canonical form for non-minimum phase systems. In particular, it is shown that, by employing the well known controllable canonical form, the uncertainties of such systems can be divided into two terms in the state space model, one in the control channel and the other in the output channel. The necessary and sufficient condition is obtained for the stability of the closed-loop system with the proposed canonical form and ADRC. Also, by showing the necessity of the detectability of the extended system as well as certain information of the system-s “zeros”, we present the fundamental guidelines of design ADRC for non-minimum phase uncertain systems.

Keywords

Active disturbance rejection control (ADRC) extended state observer (ESO) rejector uncertain systems nonminimum phase 

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Copyright information

© South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Key Laboratory of Systems and Control, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.Department of Electrical and Computer EngineeringCleveland State UniversityClevelandUSA

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