A New Anti-Windup Compensator Based on Quantitative Feedback Theory for an Uncertain Linear System with Input Saturation
Open accessAbstract
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.
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When the structure of a control object is uncertain and disturbance is present, a highly robust controller is to be designed based on the frequency domain theory of the control system.
“When the structure of a control object is uncertain and disturbance is present, a highly robust controller is to be designed based on the frequency domain theory of the control system.”
From Force Compensation Control for Electro-Hydraulic Servo System with Pump–Valve Compound Drive via QFT–DTOC (2024) · cites this paper as [28]
The Abstract and Conclusions describe a QFT-based anti-windup controller designed for robust stability in an uncertain linear system, supporting the frequency-domain design point. The condition studied is actuator saturation, not the presence of a disturbance; the Introduction mentions a disturbance filter only when discussing another method. The claim’s disturbance condition is therefore not supported by this paper. (LLM, conf=0.86)
Experimental — accuracy not yet measuredA QFT controller is a robust controller based on the frequency domain.
“A QFT controller [28-30] is a robust controller based on the frequency domain.”
From Force Compensation Control for Electro-Hydraulic Servo System with Pump–Valve Compound Drive via QFT–DTOC (2024) · cites this paper as [28]
By designing appropriate transfer functions P(s) and F(s), the control system can satisfy the design performance index, and the bandwidth of the QFT controller can be minimized.
“By designing the appropriate transfer functions P ( s ) and F ( s ) , the control system can satisfy the design performance index, and the bandwidth of the QFT controller can be minimized.”
From Force Compensation Control for Electro-Hydraulic Servo System with Pump–Valve Compound Drive via QFT–DTOC (2024) · cites this paper as [28]
The Introduction identifies P as the uncertain system and F as the prefilter, while the Conclusions describe designing an anti-windup controller for robust stability. Neither passage says that designing P(s) and F(s) satisfies a performance index or minimizes QFT-controller bandwidth; searches for those terms found no supporting passage in our copy. (LLM, conf=0.72)
Experimental — accuracy not yet measured
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Cites
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Ba, K., Wang, Y., He, X., Wang, C., Yu, B., Liu, Y., & Kong, X. (2024) · Chinese Journal of Mechanical Engineering · doi:10.1186/s10033-023-00988-1 · Cited by 18 · see citing works
“A QFT controller [28–30] is a robust controller based on the frequency domain.”
Background
- Authors
- Jeyasenthil, R., & Choi, S.-B.
- Affiliations
- Inha University (KR)
- Corresponding author
- Choi, Seung-Bok
- Venue
- Applied Sciences
- Publisher
- MDPI AG
- Published
- 2019-07-24
- Volume
- 9
- Issue
- 15
- Pages
- 2958
- ISSN
- 2076-3417 (ISSN-L)
- OpenAlex
- W2963328685
- Cited by
- 4
- References
- 18
- Citations by year
- 2024: 1 · 2021: 1 · 2019: 2
- FWCI
- 0.42
- Type
- journal article
- Language
- en
- Open access
- gold
- dx.doi.org
- Licence
- Locations
- Applied Sciences (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- Funders
- National Aeronautics and Space Administration
- Grains Research and Development Corporation
- National Research Foundation
- Inha University
- Ministry of Science and ICT, South Korea
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Keywords
- anti-windup compensator, quantitative feedback theory, actuator saturation, robust stability, uncertain linear time-invariant systems, three-degree-of-freedom control, non-convex optimization
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