Tepljakov, Aleksei.

Fractional-order Modeling and Control of Dynamic Systems [electronic resource] / by Aleksei Tepljakov. - 1st ed. 2017. - XIX, 173 p. 79 illus., 52 illus. in color. online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5061 . - Springer Theses, Recognizing Outstanding Ph.D. Research, .

Introduction,- Preliminaries -- Identification of Fractional-order Models -- Fractional-order PID Controller Design -- Implementation of Fractional-order Models and Controllers -- FOMCON: Fractional-order Modeling and Control Toolbox -- Applications of Fractional-order Control.

This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios. .

9783319529509

10.1007/978-3-319-52950-9 doi


Dynamics.
Nonlinear theories.
Control engineering.
Nonlinear Optics.
Security systems.
Applied Dynamical Systems.
Control and Systems Theory.
Nonlinear Optics.
Security Science and Technology.

TA352-356 QC20.7.N6

515.39