Fractional-order Modeling and Control of Dynamic Systems
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Beschreibung
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.
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.
Nominated as an outstanding PhD thesis by Tallinn University of Technology, Estonia Deals with modeling and control of dynamic systems using fractional-order calculus Describes several real-life applications of fractional control Includes supplementary material: sn.pub/extras
Autor*in
Aleksei Tepljakov
Themen in »Fractional-order Modeling and Control of Dynamic Systems«
Fractional-order Calculus Fopid Controller Fopid Tuning Fotf Identification Fractional Control Fractional-order Operators Applications of Fractional-order Models FOMCON Toolbox for MATLAB Newton-Raphson Optimization Least-squares Parameter Estimation Industrial Control Systems complexity quality control, reliability, safety and risk