Journal ArticleDOI
Numerical instability of deconvolution operation via block pulse functions
TLDR
This paper characterizes oscillations found in block pulse function (BPF) domain identification of open loop first-order systems with step input by presenting a useful condition for occurrence of such oscillations.Abstract:
This paper characterizes oscillations found in block pulse function (BPF) domain identification of open loop first-order systems with step input. A useful condition for occurrence of such oscillations is presented mathematically. For any positive value of ‘ah’, oscillations are observed to occur, where h is the width of BPF domain sub-interval and 1 / a is the time constant of the first-order system under consideration.read more
Citations
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Journal ArticleDOI
Numerical solutions of optimal control for linear Volterra integrodifferential systems via hybrid functions
Xing Tao Wang,Yuan Min Li +1 more
TL;DR: By applying hybrid functions of general block-pulse functions and Legendre polynomials, linear Volterra integrodifferential systems are converted into a system of algebraic equations and the approximate solutions of linear Volters are derived.
Book ChapterDOI
Non-sinusoidal Orthogonal Functions in Systems and Control
TL;DR: In this article, the authors discuss different types of non-sinusoidal orthogonal functions such as Haar functions, Walsh functions, block pulse functions, sample-and-hold functions, triangular functions, non-optimal block pulse function and a few others.
Book ChapterDOI
Time Invariant System Identification: Via ‘Deconvolution’
TL;DR: Control system identification using hybrid function domain ‘deconvolution ’ technique is discussed in this chapter and both open loop as well as closed loop systems have been identified.
References
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Journal ArticleDOI
Applications of Walsh and related functions : with an introduction to sequency theory
TL;DR: A method is provided for rapidly producing a treated waste mixture separable into a disposable mass of solids and a hygenic effluent of relatively low coliform count.
Journal ArticleDOI
Block pulse functions, the most fundamental of all piecewise constant basis functions
TL;DR: In this article, it is shown that block pulse functions (BPFs) are superior to the delayed unit step function (DUSF) proposed by Hwang (1983) due to the most elemental nature of BPFs in comparison to any other PCBF function.
Journal ArticleDOI
Linear feedback system identification via block-pulse functions
C. P. Kwong,C. F. Chen +1 more
TL;DR: Given a continuous, linear, feedback control system, the impulse response of the unknown plant is identified from the known measurement function in the feedback path and the given input and output records via block-pulse approximation of the continuous-time functions and the algorithm-typo solution for integral equations.