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一类仿射非线性系统的概率密度函数形状控制

, PP. 1169-1174

Keywords: 概率密度函数控制,线性??,样条,跟踪控制

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Abstract:

针对一类仿射非线性有界动态随机系统,提出一种最优概率密度函数(PDF)跟踪控制算法,使得系统的输出PDF跟踪给定的PDF.首先利用线性??样条解耦得到仿射非线性状态方程和PDF逼近方程,使PDF跟踪转化为状态方程输出权值的跟踪;然后采用线性时变序列逼近方法将非线性系统转化为线性时变系统,通过对线性系统的迭代运算得到非线性系统的最优跟踪控制器,从而实现最优PDF跟踪.理论分析和仿真实验均表明了所提出算法的有效性.

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