CHATTERING-FREE SMC WITH UNIDIRECTIONAL AUXILIARY SURFACES FOR NONLINEAR SYSTEM WITH STATE CONSTRAINTS

Jian Fu; Qing-Xian Wu; Ze-Hui Mao

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CHATTERING-FREE SMC WITH UNIDIRECTIONAL AUXILIARY SURFACES FOR NONLINEAR SYSTEM WITH STATE CONSTRAINTS

机译：具有状态约束的非线性系统的单向辅助表面无颤动SMC

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摘要

This paper presents a chattering-free sliding mode control with unidirectional auxiliary surfaces (UAS-SMC) for nonlinear system with state constraints. In contrast to existing chattering-free sliding mode control (SMC) methods, the proposed strategy shows another way to eliminate the chattering phenomenon. Moreover, the positively invariant set in UAS-SMC is used to constrain the system states. Stability analysis is provided based on Lyapunov stability theory. Finally, a numerical example is given to show the benefits and properties of the proposed algorithm.

机译：本文针对具有状态约束的非线性系统，提出了一种具有单向辅助表面（UAS-SMC）的无颤动滑模控制。与现有的无颤动滑模控制（SMC）方法相比，该策略显示了另一种消除颤动现象的方法。此外，UAS-SMC中的正不变集用于约束系统状态。基于Lyapunov稳定性理论提供了稳定性分析。最后，通过数值例子说明了所提算法的优点和性能。

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来源
《International Journal of Innovative Computing Information and Control》 |2013年第12期|4793-4809|共17页
作者
Jian Fu; Qing-Xian Wu; Ze-Hui Mao;
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作者单位

Department of Automation Nanjing University of Aeronautics and Astronautics No. 29, Yudao Street, Baixia District, Nanjing 210016, P. R. China;

Department of Automation Nanjing University of Aeronautics and Astronautics No. 29, Yudao Street, Baixia District, Nanjing 210016, P. R. China;

Department of Automation Nanjing University of Aeronautics and Astronautics No. 29, Yudao Street, Baixia District, Nanjing 210016, P. R. China;

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正文语种 eng
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关键词
UAS-SMC; Sliding mode; Nonlinear system; Chattering-free; Simplified approaching law; State constraints;

机译：UAS-SMC;滑动模式非线性系统无颤动;简化的接近法;国家约束;

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1. Chattering-free condition for sliding mode control with unidirectional auxiliary surfaces [J] . Jian Fu, Qing-xian Wu, Wen-hua Chen, Transactions of the Institute of Measurement and Control . 2013,第5期

机译：具有单向辅助表面的滑模控制的无颤动条件
2. Chattering-free sliding mode control with unidirectional auxiliary surfaces for miniature helicopters [J] . Jian Fu, Wen-hua Chen, Qing-xian Wu International Journal of Intelligent Computing and Cybernetics . 2012,第3期

机译：具有单向辅助表面的小型直升机的无抖动滑模控制
3. Fuzzy Supertwisting Dynamic Surface Control for MIMO Strict-Feedback Nonlinear Dynamic Systems With Supertwisting Nonlinear Disturbance Observer and a New Partial Tracking Error Constraint [J] . Han Seong Ik IEEE Transactions on Fuzzy Systems . 2019,第11期

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4. Adaptive robust control of brushless DC (BLDC) motor based on sliding mode control (SMC) with unidirectional auxiliary surfaces [C] . Shipeng Fang, Changhua Hu, Xiaoxiang Hu, Chinese Automation Congress . 2015

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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

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7. Chattering-free sliding mode control with unidirectional auxiliary surfaces for miniature helicopters [O] . Fu Jian, Chen Wen-Hua, Wu Qing-Xian 2012

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CHATTERING-FREE SMC WITH UNIDIRECTIONAL AUXILIARY SURFACES FOR NONLINEAR SYSTEM WITH STATE CONSTRAINTS

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