Second-Order Sliding Mode Control for Nonlinear Uncertain Systems Bounded by Positive Functions
Abstract
This paper considers the second-order sliding (2-sliding) mode control design problem for nonlinear systems with uncertainties bounded by positive functions. Two different 2-sliding mode control algorithms are proposed, including a discontinuous one and a quasi-continuous one. The discontinuous algorithm is built based upon the Lyapunov method, and the global finite-time Lyapunov stability rather than the global finite-time convergence is established for the resulting closed-loop system by using the modified adding a power integrator technique. On this basis, a quasi-continuous 2-sliding mode algorithm is further developed, and the chattering problem can be considerably reduced. Simulation results show that the control strategies proposed in this paper are effective.
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Self-citation
- Authors
- Ding, S., Wang, J., & Zheng, W. X.
- Affiliations
- Jiangsu University (CN)
- Western Sydney University (AU)
- Venue
- IEEE Transactions on Industrial Electronics
- Published
- 2015-09
- Volume
- 62
- Issue
- 9
- Pages
- 5899-5909
- ISSN
- 0278-0046 (ISSN-L)
- 1557-9948
- OpenAlex
- W1516297478
- Semantic Scholar
- 2b9720554eed34bb74f64de2f6c55f87ae3e639f
- Cited by
- 162
- References
- 35
- Citations by year
- 2026: 4 · 2025: 8 · 2024: 8 · 2023: 8 · 2022: 13 · 2021: 14 · 2020: 20 · 2019: 20 · 2018: 21 · 2017: 25 · 2016: 15 · 2015: 6
- FWCI
- 20.69
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Industrial Electronics (publishedVersion)
- Funders
- National Natural Science Foundation of China (61203014)
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- China Postdoctoral Science Foundation (2015M571687)
- Natural Science Foundation of Jiangsu Province (BK2012283)
- Australian Research Council
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Control and Dynamics of Mobile Robots
- Keywords
- second-order sliding mode control, uncertain nonlinear systems, bounded uncertainty, positive functions, finite-time stability, Lyapunov stability, adding a power integrator, chattering reduction, discontinuous control
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