光学 精密工程, 2017, 25 (1): 148, 网络出版: 2017-03-10
光电跟踪系统快速捕获时间最优滑模控制技术
Fast acquisition of time optimal sliding model control technology for photoelectric tracking system
捕获 时间最优滑模控制 时间最优控制 滑模控制 photoelectric tracking system acquisition time optimal control sliding model control steady state errors robustness
摘要
针对光电跟踪系统目标的快速捕获过程, 本文提出了时间最优滑模控制方法。该控制的滑模面函数为时间最优控制系统状态最优运动轨迹, 保证系统状态变量沿着最优轨迹滑动; 设计相应的指数趋紧率, 使状态变量快速平稳趋近滑模面。以180°、90°、60°阶跃信号为捕获目标进行仿真与实验研究, 实验结果为时间最优滑模控制调节时间比时间最优控制和滑模控制分别减小了约43.66%、59.67%, 超调量为0, 稳态波动量为0, 稳态误差减小了约为44.94%和6234%, 与仿真结果相吻合。结果表明该方法调节时间短, 超调小, 稳态值平稳, 稳态误差小, 鲁棒性强等优点适合应用于光电跟踪系统目标快速捕获, 具有重要的研究与应用价值。
Abstract
Atime optimal sliding model controlwas proposed based on the fast acquisitionprocess of photoelectric tracking system. The sliding mode surface function of the control wasoptimal motion trail of time optimal control, which guaranteed that the system state variables slide along the optimal tracks; relevant exponential reaching lawwas designed to make the variables closer to sliding mode surface quickly and stably. Simulation and experiment research were carried out based on the capture targets of step signals of 180°, 90° and 60°.The experiment result shows that time optimal sliding model control and accommodation time decreases about 43.66% and 59.67% respectively compared with time optimal control and sliding model control. Besides, its overshoot and steady fluctuationare both 0, andsteady state errorsare decreased 44.94% and 62.34% approximately, whichare identical with the simulation result. The result indicates that the advantages of the method, such as short accommodation time, small overshoot, stable steady state value, little steady state error and strong robust, are applicable to quickly capture thephotoelectric tracking system and of significant research and application value.
程龙, 陈娟, 陈茂胜, 王卫兵, 王挺峰, 郭劲. 光电跟踪系统快速捕获时间最优滑模控制技术[J]. 光学 精密工程, 2017, 25(1): 148. CHENG Long, CHEN Juan, CHEN Mao-sheng, WANG Wei-bing, WANG Ting-feng, GUO Jin. Fast acquisition of time optimal sliding model control technology for photoelectric tracking system[J]. Optics and Precision Engineering, 2017, 25(1): 148.