Second-Order Super-Twisting Sliding Mode Control for Finite-Time Leader-Follower Consensus with Uncertain Nonlinear Multiagent Systems

Liu Nan; Ling Rui; Huang Qin; Zhu Zheren

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Second-Order Super-Twisting Sliding Mode Control for Finite-Time Leader-Follower Consensus with Uncertain Nonlinear Multiagent Systems

机译：不确定非线性Multiagent系统的有限时间前导跟随的二阶超扭曲滑模控制

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Consensus tracking problem of the leader-follower multiagent systems is resolved via second-order super-twisting sliding mode control approach. The followers' states can keep consistent with the leader's states on sliding surfaces. The proposed approach can ensure the finite-time consensus if the directed graph of the nonlinear system has a directed path under the condition that leader's control input is unavailable to any followers. It is proved by using the finite-time Lyapunov stability theory. Simulation results verify availability of the proposed approach.

机译：通过二阶超扭曲滑模控制方法解决了领导者跟从多主体系统的共识跟踪问题。跟随者的状态可以在滑动面上与领导者的状态保持一致。如果非线性系统的有向图在任何跟随者都无法获得领导者的控制输入的情况下具有有向路径，则所提出的方法可以确保有限时间共识。使用有限时间李雅普诺夫稳定性理论证明了这一点。仿真结果验证了该方法的有效性。

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《Mathematical Problems in Engineering》 |2015年第9期|292437.1-292437.8|共8页
作者
Liu Nan; Ling Rui; Huang Qin; Zhu Zheren;
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Minist Educ, Key Lab Spacecraft TT&C & Commun, Chongqing 400044, Peoples R China.;

Minist Educ, Key Lab Spacecraft TT&C & Commun, Chongqing 400044, Peoples R China.;

Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China.;

Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China.;

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1. Second-Order Super-Twisting Sliding Mode Control for Finite-Time Leader-Follower Consensus with Uncertain Nonlinear Multiagent Systems [J] . NanLiu, RuiLing, QinHuang, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第1a2期

机译：不确定非线性Multiagent系统的有限时间前导跟随的二阶超扭曲滑模控制
2. Multi-surface sliding control for fast finite-time leader-follower consensus with high order SISO uncertain nonlinear agents [J] . Suiyang Khoo, Lihua Xie, Shengkui Zhao, International Journal of Robust and Nonlinear Control . 2014,第16期

机译：具有高阶SISO不确定非线性主体的快速有限时领导者共识的多表面滑动控制
3. Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control [J] . HongjieLi, MingChen, ShigenShen, Abstract and applied analysis . 2013,第11期

机译：通过固定控制延迟分配依赖于二阶领导者 - 跟随非线性多元素系统的共识
4. Fuzzy Finite-time Consensus Control for Nonlinear Second-order Multi-agent Systems with Disturbances by Integral Sliding Mode [C] . Mohammad Javad Mirzaei, Sehraneh Ghaemi, Ehsan Aslmostafa, International Conference on Control, Instrumentation and Automation . 2021

机译：基于整体滑动模式的非线性二阶多剂量系统的模糊有限时间共识控制
5. Analytical modeling, analysis and robust control of uncertain nonlinear dynamical systems by using sliding mode control (SMC) and quantitative feedback theory (QFT). [D] . Rajapakse, Nuraj I. 2006

机译：利用滑模控制（SMC）和定量反馈理论（QFT）对不确定的非线性动力系统进行分析建模，分析和鲁棒控制。
6. A novel finite-time average consensus protocol based on event-triggered nonlinear control strategy for multiagent systems [O] . Xiaobo Wang, Juelong Li, Jianchun Xing, -1

机译：基于事件触发非线性控制策略的多智能体系统有限时间平均共识协议
7. Second-Order Super-Twisting Sliding Mode Control for Finite-Time Leader-Follower Consensus with Uncertain Nonlinear Multiagent Systems [O] . Nan Liu, Rui Ling, Qin Huang, 2015

机译：具有不确定非线性多元素系统的有限时间领导者的二阶超捻滑模控制
8. Simplex Sliding Mode Control for Nonlinear Uncertain Systems Via Chaos Optimization [R] . Lu, Z. , Shieh, L. , Chen, G. , 2004

机译：基于混沌优化的非线性不确定系统的单纯形滑模控制

Second-Order Super-Twisting Sliding Mode Control for Finite-Time Leader-Follower Consensus with Uncertain Nonlinear Multiagent Systems

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