Finite-Time Adaptive Fuzzy Tracking Control Design for Nonlinear Systems

By Fang Wang, Bing Chen, Xiaoping Liu, Chong Lin. IEEE transactions on fuzzy systems, 2018

450 citations recorded by the source corpus.

This paper addresses the finite-time tracking problem of nonlinear pure-feedback systems. Unlike the literature on traditional finite-time stabilization, in this paper the nonlinear system functions, including the bounding functions, are all totally unknown. Fuzzy logic systems are used to model those unknown functions. To present a finite-time control strategy, a criterion of semiglobal practical stability in finite time is first developed. Based on this criterion, a novel adaptive fuzzy control scheme is proposed by a backstepping technique. It is shown that the presented controller can guarantee that the tracking error converges to a small neighborhood of the origin in a finite time, and the other closed-loop signals remain bounded. Finally, two examples are used to test the effectiveness of proposed control strategy.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dec77e53839a64a177d96d2e0bf2eecb56e9d130

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In Control and Systems Engineering

1. Shaocheng Tong
2. Yong-ming Li
3. Kewen Li
4. Yanjun Liu
5. Shuzhi Sam Ge
6. Mou Chen
7. Hongyi Li
8. Peng Shi

In Statistical and Nonlinear Physics

1. Shaocheng Tong
2. Yong-ming Li
3. Hongyi Li

Citations in the corpus

• Finite-Time Adaptive Fuzzy Output Feedback Dynamic Surface Control for MIMO Nonstrict Feedback Systems (2019, background): “([43], [44]): Consider differential equation ̇̂ ς(t) = −γς̂(t) + kv(t), where γ > 0 and k > 0 are constants, and v(t) is a positive function.”
• Observer-Based Fuzzy Adaptive Finite-Time Containment Control of Nonlinear Multiagent Systems With Input Delay (2020, background): “Hence, finite-time control has attracted great attention of many scholars, and some meaningful adaptive intelligent control schemes are established [18]–[28], which study a single nonlinear system rather than nonlinear MASs. Recently, Cai et al. [29], Zhang et al. [30], and Wang and Song [31]…”