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Book ChapterDOI

Hybrid Function Based Microprocessor Realisation of Closed Loop Analysis and Synthesis

TLDR
This HF set is employed for determining the result of closed loop convolution and the result has been used for solving linear control system analysis and synthesis problems.
Abstract
The present work proposes application of a set of orthogonal hybrid functions (HF) which evolved from the synthesis of orthogonal sample-and-hold functions (SHF) and orthogonal triangular functions (TF). This HF set is employed for determining the result of closed loop convolution and the result has been used for solving linear control system analysis and synthesis problems. The theory is supported by an example and the results are compared with the exact solution. It has been observed that for closed loop system identification, oscillation occurs due to numerical instability.

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References
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Book

Modern control engineering

TL;DR: This comprehensive treatment of the analysis and design of continuous-time control systems provides a gradual development of control theory and shows how to solve all computational problems with MATLAB.
Book

How to multiply matrices faster

TL;DR: The exponent of matrix multiplication, the correlation between matrix multipilcation and other computational problems, and the speed-up of the multiplication of matrices of a fixed size are described.
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

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.
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