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Operator-Based Robust Nonlinear Control for SISO and MIMO Nonlinear Systems With PI Hysteresis

查看全文 作　　者：Shuhui [1,5]Bi;Lei [2]Wang;Shengjun [3]Wen;Mingcong [4,5]Deng 高影响力作者 机构地区：[1]School of Electrical Engineering, University of Jinan, Jinan 250022, China;[2]Shandong Provincial Key Laboratory of Automotive Electronics Technology, Institute of Automation Shandong Academy of Sciences, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250014, China;[3]Department of Electronic and Information Engineering,Zhongyuan University of Technology, Zhengzhou 450007, China;[4]Department of Electrical and Electronic Engineering,Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, KoganeiTokyo 184-8588, Japan;[5]IEEE高影响力机构 出　　处：《IEEE/CAA Journal of Automatica Sinica》索引2018年第5卷第2期,共8页高影响力期刊 基　　金：supported by the National Natural Science Foundation of China(61203229) 摘　　要：In this paper, operator based robust nonlinear control for single-input single-output(SISO) and multi-input multi-output(MIMO) nonlinear uncertain systems preceded by generalized Prandtl-Ishlinskii(PI) hysteresis is considered respectively. In detail, by using operator based robust right coprime factorization approach, the control system design structures including feedforward and feedback controllers for both SISO and MIMO nonlinear uncertain systems are given, respectively.In which, the controller design includes the information of PI hysteresis and its inverse, and some sufficient conditions for the controllers in both SISO and MIMO systems should be satisfied are also derived respectively. Based on the proposed conditions, influence from hysteresis is rejected, the systems are robustly stable and output tracking performance can be realized.Finally, the effectiveness of the proposed method is confirmed by numerical simulations. 关 键 词：Generalized PI hysteresis operator based robust right coprime factorization robust nonlinear control
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