Modeling and adaptive tracking for a class of stochastic Lagrangian control systems

Modeling and adaptive tracking for a class of stochastic Lagrangian control systems
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一类随机拉格朗日控制系统的建模和自适应跟踪

DOI:
10.1016/j.automatica.2012.11.013
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发表时间:
2013-03
期刊:
影响因子:
6.4
通讯作者:
Shi, Peng
Shi, Peng
中科院分区:
计算机科学2区
文献类型:
--
作者:
Cui, Ming-Yue;Wu, Zhao-Jing;Xie, Xue-Jun;Shi, Peng

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研究了一类参数未知的随机拉格朗日控制系统的建模与自适应跟踪问题。通过合理地引入随机噪声,给出了一种构造随机拉格朗日控制系统的方法。在一些较温和的假设下,通过调整设计参数,设计了自适应跟踪控制器,使得跟踪误差的均方收敛到零的任意小邻域。通过随机振动环境下的力学模型验证了假设的合理性和控制器的有效性。
This paper focuses on the problem of modeling and adaptive tracking for a class of stochastic Lagrangian control systems with unknown parameters. By reasonably introducing random noise, a method to construct stochastic Lagrangian control systems is given. Under some milder assumptions, an adaptive tracking controller is designed such that the mean square of the tracking error converges to an arbitrarily small neighborhood of zero by tuning design parameters. The reasonability of assumptions and the efficiency of the controller are demonstrated by a mechanics model in random vibration environment.
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