Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System

Zhao Zhanshan; Zhang Jing; Sun Liankun; Zhang Dakun

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Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System

机译：不确定非线性系统的自适应律终端滑模控制

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A novel nonsingular terminal sliding mode controller is proposed for a second-order system with unmodeled dynamics uncertainties and external disturbances. We need not achieve the knowledge for boundaries of uncertainties and external disturbances in advance. The adaptive control gains are obtained to estimate the uncertain parameters and external disturbances which are unknown but bounded. The closed loop system stability is ensured with robustness and adaptation by the Lyapunov stability theorem in finite time. An illustrative example of second-order nonlinear system with unmodeled dynamics and external disturbances is given to demonstrate the effectiveness of the presented scheme.

机译：针对具有不确定性和外部干扰的二阶系统，提出了一种新颖的非奇异终端滑模控制器。我们不需要事先了解不确定性和外部干扰的边界。获得自适应控制增益，以估计未知但有界的不确定参数和外部干扰。 Lyapunov稳定性定理可在有限时间内通过鲁棒性和自适应性确保闭环系统的稳定性。给出了具有未建模动力学和外部干扰的二阶非线性系统的说明性示例，以证明所提出方案的有效性。

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来源
《Mathematical Problems in Engineering》 |2015年第19期|519090.1-519090.7|共7页
作者
Zhao Zhanshan; Zhang Jing; Sun Liankun; Zhang Dakun;
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作者单位

Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China;

Tianjin Polytech Univ, Sch Text, Tianjin 300387, Peoples R China|Tianjin Vocat Inst, Tianjin 300410, Peoples R China;

Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China;

Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China;

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1. An adaptive fast terminal sliding mode control combined with global sliding mode scheme for tracking control of uncertain nonlinear third-order systems [J] . Mobayen Saleh Nonlinear dynamics . 2015,第1a2期

机译：自适应快速终端滑模控制结合全局滑模方案用于不确定非线性三阶系统的跟踪控制
2. Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System [J] . ZhanshanZhao, JingZhang, LiankunSun, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第5期

机译：不确定非线性系统的自适应律终端滑模控制
3. Continuous nonsingular terminal sliding mode control based on adaptive sliding mode disturbance observer for uncertain nonlinear systems [J] . Rabiee Hamed, Ataei Mohammad, Ekramian Mohsen Automatica . 2019,第期

机译：基于自适应滑模干扰观测器的连续非线性终端滑动模式控制，非线性系统
4. Nonsingular Terminal Sliding Mode Control Based on Novel Reaching Law for Nonlinear Uncertain System [C] . Jichen Li, Fengqi Gao, Guanglong Wang, International Conference on Precision Mechanical Instruments and Measurement Technology . 2013

机译：基于新型非线性不确定系统达到法律的非线性终端滑动模式控制
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. Terminal Sliding Mode Control with a Novel Reaching Law and Sliding Mode Disturbance Observer for Inertial Stabilization Imaging Sensor [O] . Xin Che, Dapeng Tian, Ping Jia, 2020

机译：带有惯性稳定成像传感器的新型趋近律和滑模扰动观测器的终端滑模控制
7. Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System [O] . Zhanshan Zhao, Jing Zhang, Liankun Sun, 2015

机译：具有不确定非线性系统自适应法的终端滑模控制
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

Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System

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