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.
Author(s): Anish Deb, Srimanti Roychoudhury, Gautam Sarkar (auth.)
Series: Studies in Systems, Decision and Control 46
Edition: 1
Publisher: Springer International Publishing
Year: 2016
Language: English
Pages: XXI, 426
Tags: Computational Intelligence; Control; Complexity
Front Matter....Pages i-xxi
Non-sinusoidal Orthogonal Functions in Systems and Control....Pages 1-23
The Hybrid Function (HF) and Its Properties....Pages 25-48
Function Approximation via Hybrid Functions....Pages 49-86
Integration and Differentiation Using HF Domain Operational Matrices....Pages 87-114
One-Shot Operational Matrices for Integration....Pages 115-140
Linear Differential Equations....Pages 141-166
Convolution of Time Functions....Pages 167-184
Time Invariant System Analysis: State Space Approach....Pages 185-220
Time Varying System Analysis: State Space Approach....Pages 221-239
Multi-delay System Analysis: State Space Approach....Pages 241-270
Time Invariant System Analysis: Method of Convolution....Pages 271-287
System Identification Using State Space Approach: Time Invariant Systems....Pages 289-305
System Identification Using State Space Approach: Time Varying Systems....Pages 307-317
Time Invariant System Identification: Via ‘Deconvolution’....Pages 319-330
System Identification: Parameter Estimation of Transfer Function....Pages 331-355
Back Matter....Pages 357-426
