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.
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.
