滑模控制快速分段幂次趋近律设计与分析

doi:10.3969/j.issn.1001-506X.2019.05.27

Systems Engineering and Electronics ›› 2019, Vol. 41 ›› Issue (5): 1127-1132.doi: 10.3969/j.issn.1001-506X.2019.05.27

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Rapid piecewise power reaching law of sliding mode control design and analysis

YANG Xinyan^1,3, LIAO Yurong², NI Shuyan¹

1. Department of Electronic and Optical Engineering, Space Engineering University, Beijing 101416, China;
2. Vocational Education Center, Space Engineering University, Beijing 101416, China;
3.Company of Postgraduate Management, Space Engineering University, Beijing 101416, China

Online:2019-04-30 Published:2019-04-30

Abstract

Abstract:

A piecewise power reaching law of sliding mode control is proposed to solve the chattering problem. The reaching law is designed by piecewise function. It has a faster convergence speed and more adjustment parameters, and the reaching law of different stages does not interfere with each other. It is proved that the system has no chattering phenomenon and can converge in fixedtime, and the convergence time is derived in detail. In the presence of uncertainties and external disturbances, the system can converge to the disturbance stability boundary, and the range is given. The influence of parameters on the reaching speed and disturbance stability boundary is given. The proposed reaching law is applied in the attitude control system of small satellite. Simulation results show the superiority of the proposed reaching law.

Key words: piecewise power reaching law, sliding mode control, reaching speed, disturbance stability boundary

YANG Xinyan, LIAO Yurong, NI Shuyan. Rapid piecewise power reaching law of sliding mode control design and analysis[J]. Systems Engineering and Electronics, 2019, 41(5): 1127-1132.

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Rapid piecewise power reaching law of sliding mode control design and analysis

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