摘要
利用斜波脉冲函数的线性化特性和简洁的运算规则,本文将一类非线性系统转化为双线性系统然后进行分析和求解。与泰勒展开等其它方法相比较,所提出的方法不仅近似精度高,且不受范围限制,对被近似的函数无可微分的要求。所推导的算法还具有连续递推的功能,很适合用计算机进行求解。
This paper presents a new method for analysis of a class of nonlinear systems. By the linearity and operation rules of the Slope Pulse Functions, this system cart be changed into a bilinear system, which can be solved numerically. This approach is superior to others, and one example is given to illustrate its efficiency.
关键词
非线性
线性系统
正交函数
斜波脉冲函数
控制理论
non-linear
linear systems
orthogonal function
slope pulse functions
control theory
