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非线性铣削时滞系统最优控制

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针对铣刀铣削过程中的时滞现象,为减小颤振,以执行器施加的平衡力为决策变量,以平衡力和铣削颤振位移为性能指标,构建了时滞系统最优控制模型.首先,通过时间尺度变换,将不固定终端时刻转化为固定终端时刻;其次,利用控制参数法,将其转化为参数优化问题;再次,使用协态方法,得到了性能指标和约束关于优化变量的梯度;最后,构造了序列二次规划(SQP)优化算法求解近似优化问题.
OPTIMAL CONTROL OF NONLINEAR MILLING TIME-DELAY SYSTEMS
Aiming at the time-delay phenomenon in milling process of milling cutter,in order to reduce chatter,the optimal control model of the time-delay system was established with the balance force applied by the actuator as the decision variable and the balance force and milling displacement as the performance index.Firstly,the unfixed terminal moment was transformed into fixed terminal moment by time scale transformation.Secondly,using the control parameter method,it was equivalent to the parameter optimization problem.Thirdly,using the costate method,the gradient of the performance index and constraint on the optimization variable was obtained.Finally,a SQP-based algorithm was established to solve the approximate optimization problem.

optimal controltime delaycontrol parameterizationmilling system

于文鑫、翟金刚、刘长霞、孙军龙

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鲁东大学数学与统计科学学院,264025,山东烟台

鲁东大学交通学院,264025,山东烟台

最优控制 时滞 控制参数化 铣削系统

2024

山东师范大学学报(自然科学版)
山东师范大学

山东师范大学学报(自然科学版)

影响因子:0.145
ISSN:1001-4748
年,卷(期):2024.39(1)