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 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" -- OhioLink Library Catalog 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