控制理论中的斜波脉冲函数分析法
Analysis of Slope Pulse Functions in Control Theory
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摘要: 所引进的斜波脉冲函数系在L2空间上具有完备性,与其它常用的正交函数系相比较,它的精度高,适用范围广,特别是在用计算机对控制系统进行分析时,由于所推得的展开与计算公式具有模块结构,使讨论更显示出较强的竞争力。Abstract: By the Gram-Schmidt orthogonalization procedure,this paper in troduces a set of orthonormal Slope Pulsc Functions (SPFS).When use numerical computer to analyse some control systems,we can consider SPFS to be the Fourier expansion basis.The block con struction in their operation matrices improves the efficiency of numerical process,and shows the fact that this approach is superior to Block Pulse Functions and Orthogonal Piecewise Linear Polynomial Functions.