Open AccessBook
Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions: Theory and Algorithms with MATLAB®
TLDR
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.Abstract:
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.read more
Citations
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New sinusoidal basis functions and a neural network approach to solve nonlinear Volterra–Fredholm integral equations
TL;DR: An alternative and efficient method based on the formalism of artificial neural networks is discussed and the efficiency of the mentioned approach is theoretically justified and illustrated through several qualitative and quantitative examples.
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Frequency-shifting-based stable on-line algebraic parameter identification of linear systems
TL;DR: The finite difference and shift operators in combination with the frequency-shifting property of Laplace transform is applied instead of algebraic derivatives and resulting state-space realization of the estimator filters is asymptotically stable and doesn’t require switch-of mechanism to prevent overflow of the estimation variables.
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Identification of mathematical model of human breathing in system “Artificial lungs – self-contained breathing apparatus”
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Robust Least Squares Approach for Tracking Control Synthesis of Unstructured Uncertain Bilinear Systems
TL;DR: The problem of robust tracking control for unstructured uncertain bilinear system is investigated and the obtained problem is solved in the robust least square sense.
Posted Content
Novel hybrid function operational matrices of fractional integration: An application for solving multi-order fractional differential equations
TL;DR: In this article, a numerical algorithm for solving multi-order fractional differential equations with constant and variable coefficients is presented, where the Riemann-Liouville fractional order integral of the new orthogonal hybrid functions is expressed explicitly in terms of new Orthogonal Hybrid functions themselves.