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This book aims to provide the basic theory of fractional calculus and its applications based on practical schemes and approaches, illustrated with applicable engineering and technical examples, especially focusing on the fractional-order controller design. In the development of this book, the essential theorems and facts in the first two chapters are proven with rigorous mathematical analyses. In addition, the commonly used definitions of Grunwald-Letnikov, Riemann-Liouville, Caputo, and Miller-Ross fractional derivatives are introduced with their properties proved and linked to fractional-order controller design. The last chapter presents several enlightening scenarios of fractional-order control designs, for example, the suppression of machining chatter, the nonlinear motion control of a multilink robot, the simultaneous tracking and stabilization control of a rotary inverted pendulum, and the idle speed control of an internal combustion engine (ICE).
Fluctuation Mechanism and Control on System Instantaneous Availability facilitates the development of modeling and identification skills for both theoretical research and applications. Supplying an overall summary of current research results in fluctuation analysis of instantaneous availability, it covers the theory, methodology, and specific engineering implementation required to conduct equipment instantaneous availability analysis. Presenting practical methods and tools, it describes how to control the matching transition of new equipment systems as a result of interactions among sub-systems.
An educational textbook covering the concepts and methods of pharmacoepidemiology (the study of the utilization and effects of drugs in large numbers of patients)
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