Deb A., Roychoudhury S., Sarkar G. Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions: Theory and Algorithms with MatLAB

Springer International Publishing Switzerland, 2016. — 426 p. — ISBN10: 3319266829.Deals with a new kind of orthogonal function set Hybrid Functions HF. Uses HF for solving differential equations and for treating control system analysis and identification problems. Presents an analysis of different systems–-namely, time-invariant system, time-varying system, multiple delay systems.
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.Non-sinusoidal Orthogonal Functions in Systems and Control
The 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
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