On nonsingular terminal sliding-mode control of nonlinear systems

By Yong Feng, Xinghuo Yu, Fengling Han. at - Automatisierungstechnik, 2013

610 citations recorded by the source corpus.

This paper proposes a method to overcome the singularity problem of terminal sliding-mode control systems. The system behaviors in both the reaching phase and the ideal sliding-mode are analyzed. A global nonsingular terminal sliding-mode control strategy for nonlinear systems is developed and it is shown that the proposed control strategy can eliminate the singularity, while guaranteeing the finite-time reachability of the systems to the terminal sliding-mode surface and the finite-time convergence of the systems towards the origin along the terminal sliding-mode surface.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/5597d8f9d5c9b7bf99098f626d7f3822034a297b

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In Control and Systems Engineering

1. Zongyu Zuo
2. Xinghuo Yu
3. Zhihong Man
4. Yong Feng
5. Xiaoyu Hu
6. Ling Liu
7. Chongxin Liu
8. Junkang Ni

Citations in the corpus

• Terminal Sliding Mode Control – An Overview (2021, methodology): “The system in the ideal sliding mode can be described by [27] x1(t ) = {(|x1(tr )|(1−λ) − β (1 − λ) t) 1 1−λ sgn (x1(tr )) t < ts 0 t ≥ ts x2(t ) = −βxλ 1 (t ) = −β |x1(t )|λ sgn (x1(t )) (19)”
• Fast Fixed-Time Nonsingular Terminal Sliding Mode Control and Its Application to Chaos Suppression in Power System (2017, background): “Therefore, as pointed out in [21], the existence of singularity region does not influence the results of the stability analysis.”
• Nonsingular fixed-time consensus tracking for second-order multi-agent networks (2015, methodology): “To circumvent the singularity problem (Feng et al., 2013), a new sliding surface is proposed:”
• Event-triggered sliding mode control of stochastic systems via output feedback (2017, neutral): “…2010; Liu et al., 2017), stochastic systems (Shi, Xia, Liu, & Rees, 2006), time-delay systems (Basin, Rodriguez-Gonzalez, Fridman, & Acosta, 2005), switched systems (Wu, Zheng, & Gao, 2013), jumping systems (Shi et al., 2006; Wu, Su, & Shi, 2012), and singular systems (Feng, Yu, & Han, 2013).”