Deb A., Roychoudhury S. Control System Analysis and Identification with MatLAB: Block Pulse and Related Orthogonal Functions

CRC Press, Taylor & Francis Group, 2019. — 387 p. — ISBN: 9781138303225.This book covers block pulse and related functions for the analysis and identification of continuous and discrete-time systems. It covers functions related to block pulse functions' and pulse-width modulated generalized block pulse functions including their applications...
In many spheres of electrical engineering, the basis for any analysis is usually a system of sine-cosine functions. This is mainly due to the desirable properties of frequency domain representation of a large class of functions encountered in engineering design and also immense popularity of sinusoidal voltage in most engineering applications. In the fields of circuit analysis, control theory, communication, and analysis of stochastic problems, ample examples are found where the completeness and orthogonal properties of such a system of sine-cosine functions lead to attractive solutions. But with the application of digital techniques in these areas, awareness for other more general complete systems of orthogonal functions has developed.
Key Features
The Book Covers recent results of the traditional block pulse and other functions related material
Discusses ‘functions related to block pulse functions’ extensively along with their applications
Contains analysis and identification of linear time-invariant systems, scaled system, and sampled-data system
Presents an overview of piecewise constant orthogonal functions starting from Haar to sample-and-hold function
Includes examples and MatLAB codes with supporting numerical exampless.Block Pulse and Related Basis Functions
Function Approximation via Block Pulse Functionand Related Functions
Block Pulse Domain Operational Matrices for Integration and Differentiation
Operational Transfer Functions for System Analysis
System Analysis and Identification Using Convolution and "Deconvolution" in BPF Domain
Delayed Unit Step Functions (DUSF) for System Analysis and Fundamental Nature of the Block Pulse Function (BPF) Set
Sample-and-Hold Functions (SHFs) for System Analysis
Discrete Time System Analysis Using a Set of Delta Functions (DFs)
Non-Optimal Block Pulse Functions (NOBPFs) for System Analysis and Identification
System Analysis and Identification Using Linearly Pulse-Width Modulated Generalized Block Pulse Functions (LPWM-GBPF)
Appendixes
Introduction to Linear Algebra
Selected MatLAB Programs