EAN: 9783031796241

SYNTHESIS LECTURES ON MECHANICAL ENGINEERING ...

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 Grünwald-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).

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