Linear pole-placement anti-windup control for input saturation nonlinear system based on Takagi Sugeno fuzzy model

• Published in: International journal of control, automation, and systems Vol. 14; no. 6; pp. 1599 - 1606
• Main Authors: Wang, Fa-Guang, Wang, Hong-Mei, Park, Seung-Kyu, Wang, Xue-Song
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.12.2016; Springer Nature B.V
• Subjects: Automation; Control; Controllers; Dynamical systems; Electrical engineering; Engineering; Fuzzy; Fuzzy logic; Fuzzy systems; Mathematical analysis; Mathematical models; Mechatronics; Nonlinear dynamics; Nonlinear systems; Pole placement; Regular Papers; Robotics; Saturation; Studies; LMIs; T-S fuzzy; saturation nonlinear system; pole placement
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-015-0169-x

An anti-windup controller for multi-input nonlinear system is proposed in this paper. The proposed method does not need to calculate every time for every fuzzy rules comparing with traditional linear pole placement of T-S(Takagi-Sugeno) fuzzy. This means fewer LMIs(linear matrix inequality) will be needed and its solution will be guaranteed as much as possible. For different saturation limit, different D-stable disk center and radius of pole placement can be selected to eliminate input saturation effect directly. Nonlinear system will be transferred to T-S fuzzy model first. Then, by employing a series of transition matrix, nonlinear system will be transferred into a nearly linear format accompanied by a nonlinear part. Finally, by designing a proper controller, linear pole placement method can be used and the controller gains can be calculated out with LMIs.