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Open AccessArticle

A New Anti-Windup Compensator Based on Quantitative Feedback Theory for an Uncertain Linear System with Input Saturation

Smart Structures and System Laboratory, Department of Mechanical Engineering, Inha University, Incheon 22212, Korea
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Appl. Sci. 2019, 9(15), 2958; https://doi.org/10.3390/app9152958
Received: 3 May 2019 / Revised: 15 July 2019 / Accepted: 17 July 2019 / Published: 24 July 2019
(This article belongs to the Section Mechanical Engineering)
This paper devotes to the robust stability problem for an uncertain linear time invariant (LTI) feedback system with actuator saturation nonlinearity. Based on a three degree of freedom (DOF) non-interfering control structure, the robust stability is enforced with the describing function (DF) approach for an uncertain LTI system to avoid the limit cycle. A new type of anti-windup (AW) compensator is designed using the quantitative feedback theory (QFT) graphical method, which results in a simple design procedure and low-order AW control system. One of the most significant benefits of the proposed method is free of the non-convexity (intractable) drawback of the linear matrix inequality (LMI)-based approach. The analysis conducted on the benchmark problem clearly reveals that the proposed QFT-based anti-windup design is able to handle both saturation and uncertainty in a very effective manner. View Full-Text
Keywords: quantitative feedback theory (QFT), input saturation; robust anti-windup; limit cycle; describing function; uncertain linear systems quantitative feedback theory (QFT), input saturation; robust anti-windup; limit cycle; describing function; uncertain linear systems
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Jeyasenthil, R.; Choi, S.-B. A New Anti-Windup Compensator Based on Quantitative Feedback Theory for an Uncertain Linear System with Input Saturation. Appl. Sci. 2019, 9, 2958.

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