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

被引：10

作者：

Bi, Shuhui ^{[1
]}

Wang, Lei ^{[2
]}

Wen, Shengjun ^{[3
]}

Deng, Mingcong ^{[4
]}

机构：

[1] Univ Jinan, Sch Elect Engn, Jinan 250022, Shandong, Peoples R China

[2] Qilu Univ Technol, Shandong Acad Sci, Inst Automat, Shandong Prov Key Lab Automot Elect Technol, Jinan 250014, Shandong, Peoples R China

[3] Zhongyuan Univ Technol, Dept Elect & Informat Engn, Zhengzhou 450007, Henan, Peoples R China

[4] Tokyo Univ Agr & Technol, Dept Elect & Elect Engn, 2-24-16 Nakacho, Koganei, Tokyo 1848588, Japan

来源：

IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2018年 / 5卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Generalized PI hysteresis; operator based robust right coprime factorization; robust nonlinear control; FEEDBACK-CONTROL; UNCERTAIN SYSTEMS; ADAPTIVE-CONTROL; CONTROL DESIGN; STABILIZATION; INVERSION; TRACKING; PLANTS;

D O I：

10.1109/JAS.2016.7510175

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：523 / 530

页数：8

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