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Mathematical Problems in Engineering
Volume 2015, Article ID 367146, 10 pages
Research Article

A Mixed Variable Speed Reaching Law of Sliding Mode Control for Spacecraft Tracking System

College of Automation, Harbin Engineering University, Harbin 150001, China

Received 13 June 2014; Accepted 3 August 2014

Academic Editor: Ligang Wu

Copyright © 2015 Yao Zhang and Yu-Xin Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For spacecraft tracking control system, the reaching law election and controller design are two crucial and important problems. In this paper, spacecraft tracking system is considered as a discrete-time system, a mixed variable speed reaching law of SMC, and a controller for spacecraft tracking system has been investigated. Theory proves that this method can ensure the stability of spacecraft system and eliminate the chattering phenomenon. Furthermore, when spacecraft is inflicted by a certain external interference, the regulating function of neural network can ensure strong robustness of the system. Simulation results show that, compared with exponential reaching law and classical variable speed reaching law, the proposed reaching law has better suppress chattering effect and dynamic performance.