Journal ArticleDOI
All-integrator approach to linear SISO control system analysis using block pulse functions (BPF)
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TLDR
In this article, a modified block Pulse Operational Transfer Function (MBPOTF) is proposed for linear SISO control system analysis in the block pulse function domain. But the results are not so accurate when compared with the direct expansion of the exact solution in the BPF domain.Abstract:
The present work makes use of the block pulse domain operational matrix for differentiation D1(m) to find out an operational transfer function. Analysis of simple control systems using this Block Pulse Operational Transfer Function (BPOTF) shows that the results are not so accurate when compared with the direct expansion of the exact solution in the BPF domain. To remove this defect, one shot operational matrices for repeated integration (OSOMRI) are obtained and these matrices are used to develop a Modified Block Pulse Operational Transfer Function (MBPOTF) for linear SISO control system analysis in the block pulse function domain. A few linear SISO control systems are analysed using the developed MBPOTF s as illustrative examples. The results are found to match exactly with the direct BPF expansions of the exact solutions.read more
Citations
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Journal ArticleDOI
Numerical solution of fractional differential equations using the generalized block pulse operational matrix
Yuanlu Li,Ning Sun +1 more
TL;DR: A way to solve the fractional differential equations using the Riemann-Liouville fractional integral for repeated fractional integration and the generalized block pulse operational matrices of differentiation are proposed.
Journal ArticleDOI
A new set of orthogonal functions and its application to the analysis of dynamic systems
TL;DR: It has been established with illustration that the TF domain technique is more accurate than the BPF domain technique as far as integration is concerned, and it provides with a piecewise linear solution.
Journal ArticleDOI
A new set of piecewise constant orthogonal functions for the analysis of linear siso systems with sample-and-hold
TL;DR: In this paper, a set of piecewise constant orthogonal functions, termed sample-and-hold functions (SHF), is introduced for the analysis of control systems with SISO.
A numerical method for solving Linear Non-homogenous Fractional Ordinary Differential Equation
TL;DR: In this paper, a numerical method for solving LNFODE (Linear Nonhomogenous Fractional Ordinary Differential Equa- tion) is presented, which is based on Bernstein polynomials approximation.
Journal ArticleDOI
Numerical method for solving arbitrary linear differential equations using a set of orthogonal basis functions and operational matrix
TL;DR: In this paper, a numerical method for solving ordinary linear differential equations of arbitrary order and coefficients is presented, where block-pulse functions (BPFs) as a set of piecewise constant orthogonal functions are used.
References
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C.F. Cheng,Y.T. Tsay,Tao Wu +2 more
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