The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Second-order sliding mode controller design with output constraint
Abstract
Abstract The output constraints widely exist in the physical systems and severely affect the performance of the closed-loop system. This paper considers the second-order sliding mode controller design subject to an output constraint. By constructing a new barrier Lyapunov function and applying the technique of adding a power integrator, a novel second-order sliding mode control algorithm, which can be used to deal with the output constraint problem, has been developed. The proposed sliding mode algorithm enables the output variable not to violate the boundary of the constraint region. Meanwhile, it has been shown that under the output constraint the sliding variable can still be stabilized to zero in a finite time. Finally, an academic example is given to verify the feasibility of the proposed second-order sliding mode algorithm.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Finite-Time Stability of Continuous Autonomous Systems
Bhat, S. P., & Bernstein, D. S. (2000) · SIAM Journal on Control and Optimization · doi:10.1137/s0363012997321358 · Cited by 5,510
Sliding order and sliding accuracy in sliding mode control
LEVANT, A. (1993) · International Journal of Control · doi:10.1080/00207179308923053 · Cited by 3,093
Barrier Lyapunov Functions for the control of output-constrained nonlinear systems
Tee, K. P., Ge, S. S., & Tay, E. H. (2009) · Automatica · doi:10.1016/j.automatica.2008.11.017 · Cited by 2,912
Sliding Mode Control and Observation
Shtessel, Y., Edwards, C., Fridman, L., & Levant, A. (2014) · Control Engineering · doi:10.1007/978-0-8176-4893-0 · Cited by 2,872
Non-singular terminal sliding mode control of rigid manipulators
Feng, Y., Yu, X., & Man, Z. (2002) · Automatica · doi:10.1016/s0005-1098(02)00147-4 · Cited by 2,322
Strict Lyapunov Functions for the Super-Twisting Algorithm
Moreno, J. A., & Osorio, M. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2186179 · Cited by 1,377
A continuous feedback approach to global strong stabilization of nonlinear systems
Qian, C., & Lin, W. (2001) · IEEE Transactions on Automatic Control · doi:10.1109/9.935058 · Cited by 1,377
Control of nonlinear systems with time-varying output constraints
Tee, K. P., Ren, B., & Ge, S. S. (2011) · Automatica · doi:10.1016/j.automatica.2011.08.044 · Cited by 1,059
Principles of 2-sliding mode design
Levant, A. (2007) · Automatica · doi:10.1016/j.automatica.2006.10.008 · Cited by 833
Quasi-continuous high-order sliding-mode controllers
Levant, A. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.858646 · Cited by 602
Terminal sliding mode control of MIMO linear systems
Zhihong, M., & Yu, X. H. (1997) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/81.641769 · Cited by 550
Finite-Time Event-Triggered $\mathcal{H}_{\infty }$ Control for T–S Fuzzy Markov Jump Systems
Shen, H., Li, F., Yan, H., Karimi, H. R., & Lam, H.-K. (2018) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2017.2788891 · Cited by 458
Terminal sliding mode control of MIMO linear systems
Zhihong, M., & Yu, X. H. (2002) · Proceedings of 35th IEEE Conference on Decision and Control · doi:10.1109/cdc.1996.577601 · Cited by 440
Sliding Mode Direct Yaw-Moment Control Design for In-Wheel Electric Vehicles
Ding, S., Liu, L., & Zheng, W. X. (2017) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2017.2682024 · Cited by 414
Self-citationBarrier function-based adaptive sliding mode control
Obeid, H., Fridman, L. M., Laghrouche, S., & Harmouche, M. (2018) · Automatica · doi:10.1016/j.automatica.2018.03.078 · Cited by 353
A new approach to fast global finite-time stabilization of high-order nonlinear system
Sun, Z.-Y., Yun, M.-M., & Li, T. (2017) · Automatica · doi:10.1016/j.automatica.2017.04.024 · Cited by 292
Simple homogeneous sliding-mode controller
Ding, S., Levant, A., & Li, S. (2016) · Automatica · doi:10.1016/j.automatica.2016.01.017 · Cited by 260
Self-citationSliding Mode Control of Constrained Nonlinear Systems
Incremona, G. P., Rubagotti, M., & Ferrara, A. (2016) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2016.2605043 · Cited by 239
Second-Order Sliding-Mode Controller Design and Its Implementation for Buck Converters
Ding, S., Zheng, W. X., Sun, J., & Wang, J. (2018) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2017.2758263 · Cited by 235
Self-citationA New Second-Order Sliding Mode and Its Application to Nonlinear Constrained Systems
Ding, S., Mei, K., & Li, S. (2019) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2018.2867163 · Cited by 197
Self-citationSliding Modes after the First Decade of the 21st Century: State of the Art
(2012) · Lecture Notes in Control and Information Sciences · doi:10.1007/978-3-642-22164-4 · Cited by 195
Global sampled-data output feedback stabilization for a class of uncertain nonlinear systems
Du, H., Qian, C., Li, S., et al. (2018) · Automatica · doi:10.1016/j.automatica.2018.11.002 · Cited by 153
Fang, L., Ma, L., Ding, S., & Zhao, D. (2019) · Applied Mathematics and Computation · doi:10.1016/j.amc.2019.03.067 · Cited by 119
Self-citationPérez‐Ventura, U., & Fridman, L. M. (2018) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4347 · Cited by 114
Cited by
Hou, Q., Ding, S., & Yu, X. (2021) · IEEE Transactions on Energy Conversion · doi:10.1109/tec.2020.2985054 · Cited by 283
Self-citationSun, J., Yi, J., & Pu, Z. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2021.3052610 · Cited by 184
Metadata
- Authors
- Ding, S., Park, J. H., & Chen, C.-C.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2020-02
- Volume
- 112
- Pages
- 108704
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W2993823983
- Cited by
- 304
- References
- 24
- FWCI
- 20.54
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.