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

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• 作者：Wenchao Xue ; Yi Huang ; Zhiqiang Gao
• 关键词：Active disturbance rejection control (ADRC) ; extended state observer (ESO) ; rejector ; uncertain systems ; nonminimum phase
• 刊名：Control Theory and Technology
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：14
• 期：3
• 页码：199-208
• 全文大小：608 KB
• 刊物类别：Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Rob
• 刊物主题：Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Robotics, Mechatronics;
• 出版者：South China University of Technology and Academy of Mathematics and Systems Science, CAS
• ISSN：2198-0942
• 卷排序：14

文摘

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.