The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from experimental or simulated data. A simple tuning technique, which aims to produce a robust FO PID controller exhibiting iso-damping property during re-parameterization of a plant, is devised in the book. A new numerical method to find an equivalent finite dimensional integer order system for an infinite dimensional FO system is developed in the book. The book also introduces a numerical method to solve FO optimal control problems. Key features Proposes generalized triangular function operational matrices. Shows significant applications of triangular orthogonal functions as well as triangular strip operational matrices in simulation, identification and control of fractional order processes. Provides numerical methods for simulation of physical problems involving different types of weakly singular integral equations, Abel’s integral equation, fractional order integro-differential equations, fractional order differential and differential-algebraic equations, and fractional order partial differential equations. Suggests alternative way to do numerical computation of fractional order signals and systems and control. Provides source codes developed in MATLAB for each chapter, allowing the interested reader to take advantage of these codes for broadening and enhancing the scope of the book itself and developing new results.
Data collection, compression, storage, and interpretation have become mature technologies over the years. Extraction of meaningful information from the process historical database seems to be a natural and logical choice. In view of this, the proposed book aims to apply the data driven knowledge base in ensuring safe process operation through timely detection of process abnormal and normal operating conditions, assuring product quality and analyzing biomedical signal leading to diagnostic tools. The book poses an open invitation for an interface which is required henceforth, in practical implementation of the propositions and possibilities referred in the book. It poses a challenge to the researchers in academia towards the development of more sophisticated algorithms. The proposed book also incites applications in diversified areas. Key Features: Presents discussion of several modern and popular chemometric techniques Introduces specific illustrative industrial applications using the chemometric techniques Demonstrates several applications to beverage quality monitoring Provides all the algorithms developed for the automated device design, data files, sources for biomedical signals and their pre-processing steps, and all the process models requited to simulate process normal/faulty data Includes casestudy-based approach to the topics with MATLAB and SIMULINK source codes
The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from experimental or simulated data. A simple tuning technique, which aims to produce a robust FO PID controller exhibiting iso-damping property during re-parameterization of a plant, is devised in the book. A new numerical method to find an equivalent finite dimensional integer order system for an infinite dimensional FO system is developed in the book. The book also introduces a numerical method to solve FO optimal control problems. Key features Proposes generalized triangular function operational matrices. Shows significant applications of triangular orthogonal functions as well as triangular strip operational matrices in simulation, identification and control of fractional order processes. Provides numerical methods for simulation of physical problems involving different types of weakly singular integral equations, Abel’s integral equation, fractional order integro-differential equations, fractional order differential and differential-algebraic equations, and fractional order partial differential equations. Suggests alternative way to do numerical computation of fractional order signals and systems and control. Provides source codes developed in MATLAB for each chapter, allowing the interested reader to take advantage of these codes for broadening and enhancing the scope of the book itself and developing new results.
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