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A novel adaptive sliding mode control with application to MEMS gyroscope
Abstract
This paper presents a new adaptive sliding mode controller for MEMS gyroscope; an adaptive tracking controller with a proportional and integral sliding surface is proposed. The adaptive sliding mode control algorithm can estimate the angular velocity and the damping and stiffness coefficients in real time. A proportional and integral sliding surface, instead of a conventional sliding surface is adopted. An adaptive sliding mode controller that incorporates both matched and unmatched uncertainties and disturbances is derived and the stability of the closed-loop system is established. The numerical simulation is presented to verify the effectiveness of the proposed control scheme. It is shown that the proposed adaptive sliding mode control scheme offers several advantages such as the consistent estimation of gyroscope parameters including angular velocity and large robustness to parameter variations and external disturbances.
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“The proportional-integral sliding mode adaptative control proposed by Fei and Batur takes into account both matched and unmatched uncertainties and shows consistent estimation of gyroscope parameters including angular velocity and large robustness to parameter variations and external disturbances [57].”
From Neurological Tremor: Sensors, Signal Processing and Emerging Applications (2010) · cites this paper as [57]
In the citing paper
“For MEMS gyroscopes, fabrication imperfections result in cross stiffness and cross damping effects that may interfere with the measurement of angular velocity [57].”
From Neurological Tremor: Sensors, Signal Processing and Emerging Applications (2010) · cites this paper as [57]
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Research works printed but not linked: 14
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- Wang, 1998, Adaptive sliding mode control algorithm for a microgravity isolation system, Acta Astronautica, 43, 377, 10.1016/S0094-5765(98)00166-0 · DOI
- Song, 1998, A comparative study of conventional nonsmooth time-invariant and smooth time-varying robust compensator, IEEE Transactions on Control System Technology, 6, 571, 10.1109/87.701355 · DOI
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- Batur, 2006, Sliding mode control of a simulated MEMS gyroscope, ISA Transactions, 45, 99, 10.1016/S0019-0578(07)60069-X · DOI · Paper page
- Leland, 2003, Adaptive mode tuning for vibrational gyroscopes, IEEE Transactions on Control System Technology, 11, 242, 10.1109/TCST.2003.809240 · DOI · Paper page
- Park, 2004, New adaptive mode of operation for MEMS gyroscopes, ASME Transaction Dynamic Systems, Measurement and Control, 126, 800, 10.1115/1.1849252 · DOI · Paper page
- Park S. Adaptive control strategies for MEMS gyroscope. Ph.D. dissertation. Berkely: University of California; 2000
- Fei J, Batur C. Adaptive sliding mode control with sliding mode observer design for a MEMS vibratory gyroscope. In: 2007 ASME international mechanical engineering congress and exposition. 2007. p. 759–65 · DOI
- Andrievsky BR, Fradkov AL, Stotsky AA. Shunt compensation for indirect sliding-mode adaptive control. In: 13th IFAC world congress. 1996. p. 193–8 · DOI
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Cited by
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Neurological Tremor: Sensors, Signal Processing and Emerging Applications
Grimaldi, G., & Manto, M. (2010) · Sensors · doi:10.3390/s100201399 · Cited by 138
“…proportional-integral sliding mode adaptative control proposed by Fei and Batur takes into account both matched and unmatched uncertainties and shows consistent estimation of gyroscope parameters including angular velocity and large robustness to parameter variations and external disturbances [57].”
Background
Metadata
- Authors
- Fei, J., & Batur, C.
- Affiliations
- University of Louisiana at Lafayette (US)
- University of Akron (US)
- Corresponding author
- Fei, Juntao
- ORCID
- Fei, Juntao
- Venue
- ISA Transactions
- Publisher
- Elsevier BV
- Published
- 2009-01
- Volume
- 48
- Issue
- 1
- Pages
- 73-78
- ISSN
- 0019-0578 (ISSN-L)
- OpenAlex
- W2072589273
- Cited by
- 97
- References
- 0
- Citations by year
- 2026: 3 · 2025: 5 · 2023: 2 · 2022: 3 · 2021: 6 · 2020: 10 · 2019: 4 · 2018: 6 · 2017: 4 · 2016: 5 · 2015: 7 · 2014: 7 · 2013: 11 · 2012: 11
- FWCI
- 8.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- ISA Transactions (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Aerospace Engineering › Inertial Sensor and Navigation
- Physical Sciences › Engineering › Aerospace Engineering › Advanced Control and Stabilization in Aerospace Systems
- Keywords
- adaptive sliding mode control, MEMS gyroscope, parameter estimation, angular velocity estimation, matched and unmatched uncertainties, robustness to disturbances, closed-loop stability
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- The paper
- Fei, J., & Batur, C. (2009). A novel adaptive sliding mode control with application to MEMS gyroscope. ISA Transactions. https://doi.org/10.1016/j.isatra.2008.10.008
