This work is devoted to asymptotic properties of a sign-error adaptive filtering algorithm with constant step size. Under much weaker conditions than those that appear in the literature, we obtain convergence and rate...This work is devoted to asymptotic properties of a sign-error adaptive filtering algorithm with constant step size. Under much weaker conditions than those that appear in the literature, we obtain convergence and rate of convergence by using weak convergence methods. An example is provided to demonstrate the performance of the algorithm.展开更多
串联弹性驱动器(Series elastic actuator, SEA)是机器人交互系统中的一种理想力源.本文针对非线性SEA的力矩控制问题提出一种基于RISE (Robust integral of the sign of the error)反馈的最优控制方法,能够克服模型参数不确定和有界扰...串联弹性驱动器(Series elastic actuator, SEA)是机器人交互系统中的一种理想力源.本文针对非线性SEA的力矩控制问题提出一种基于RISE (Robust integral of the sign of the error)反馈的最优控制方法,能够克服模型参数不确定和有界扰动,实现SEA输出力矩在交互过程中快速平稳地收敛到期望值.具体来说,首先对SEA的模型进行分析和变换;然后假设模型参数和扰动均已知,并在此基础上基于二次型指标设计最优控制律;之后基于RISE反馈重新设计控制律抵消模型参数不确定性和有界扰动,基于Lyapunov理论分析控制器的收敛性和信号的有界性,实验结果表明这种基于RISE反馈的最优控制方法具有良好的控制性能和对有界扰动的鲁棒性.展开更多
基金The first author was supported in part by the National Science Foundation of USA(Grant No. DMS-9877090), and the second author was supported in part by the National Key Project of China and the National Natural Science Foundation of China.
文摘This work is devoted to asymptotic properties of a sign-error adaptive filtering algorithm with constant step size. Under much weaker conditions than those that appear in the literature, we obtain convergence and rate of convergence by using weak convergence methods. An example is provided to demonstrate the performance of the algorithm.
文摘串联弹性驱动器(Series elastic actuator, SEA)是机器人交互系统中的一种理想力源.本文针对非线性SEA的力矩控制问题提出一种基于RISE (Robust integral of the sign of the error)反馈的最优控制方法,能够克服模型参数不确定和有界扰动,实现SEA输出力矩在交互过程中快速平稳地收敛到期望值.具体来说,首先对SEA的模型进行分析和变换;然后假设模型参数和扰动均已知,并在此基础上基于二次型指标设计最优控制律;之后基于RISE反馈重新设计控制律抵消模型参数不确定性和有界扰动,基于Lyapunov理论分析控制器的收敛性和信号的有界性,实验结果表明这种基于RISE反馈的最优控制方法具有良好的控制性能和对有界扰动的鲁棒性.
