Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions - Theory and Algorithms with MATLAB®

This book introduces a newset of orthogonal hybrid functions (HF) which approximates time functions in apiecewise linear manner which is very suitable for practical applications.
The book presents ananalysis of different systems namely, time-invariant system, time-varyingsystem, multi-delay systems---both homogeneous and non-homogeneous type- andthe solutions are obtained in the form of discrete samples. The book alsoinvestigates system identification problems for many of the above systems. Thebook is spread over 15 chapters and contains 180 black and white figures, 18colour figures, 85 tables and 56 illustrative examples. MATLAB codes for many suchexamples are included at the end of the book.

List of contents

Non-Sinusoidal Orthogonal Functions in Systems and Control.- Hybrid Function (HF) and Its Properties.- Function Approximation via Hybrid Functions.- Integration and Differentiation Using HF Domain Operational Matrices.- One-Shot Operational Matrices for Integration.- Solution of Linear Differential Equations.- Convolution of Time Functions.- Time Invariant System Analysis: State Space Approach.- Time Varying System Analysis: State Space Approach.- Multi-Delay System Analysis: State Space Approach.- Time Invariant System Analysis: Method of Convolution.- System Identification using State Space Approach: Time Invariant Systems.- System Identification using State Space Approach:Time Varying Systems.- Time Invariant System Identification: via 'Deconvolution'.- System Identification: Parameter Estimation of Transfer Function.

Summary

This book introduces a new
set of orthogonal hybrid functions (HF) which approximates time functions in a
piecewise linear manner which is very suitable for practical applications.
The book presents an
analysis of different systems namely, time-invariant system, time-varying
system, multi-delay systems---both homogeneous and non-homogeneous type- and
the solutions are obtained in the form of discrete samples. The book also
investigates system identification problems for many of the above systems. The
book is spread over 15 chapters and contains 180 black and white figures, 18
colour figures, 85 tables and 56 illustrative examples. MATLAB codes for many such
examples are included at the end of the book.

Product details

• Authors: Anis Deb, Anish Deb, Srimant Roychoudhury, Srimanti Roychoudhury, Gautam Sarkar
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2016
• EAN: 9783319266824
• ISBN: 978-3-31-926682-4
• No. of pages: 426
• Dimensions: 165 mm x 240 mm x 29 mm
• Weight: 817 g
• Illustrations: XXI, 426 p. 169 illus., 151 illus. in color.
• Series: Studies in Systems, Decision and Control; Studies in Systems, Decision and Control
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Regelungstechnik, Mathematik für Ingenieure, Kybernetik und Systemtheorie, engineering, complexity, Control and Systems Theory, Computational Intelligence, Maths for engineers, Control engineering, Automatic control engineering, Cybernetics & systems theory, Applied Dynamical Systems, Computational complexity, Cybernetics and systems theory