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An Introduction to Fractional Control

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Author(s): Duarte Valério 1  and  José Sá da Costa 1
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Publication Year: 2012

Fractional control techniques provide an effective way to control dynamic behaviours, using fractional differential equations. This can include the control of fractional plants, the control of a plant using a fractional controller, or the control of a plant so that the controlled system will have a fractional behaviour to achieve a performance that would otherwise be hard to come by. An Introduction to Fractional Control outlines the theory, techniques and applications of fractional control. After an initial introduction to fractional calculus, the book explores many fractional control systems including fractional lead control, fractional lag control, first, second and third generation Crone control, fractional PID, PI and PD control, fractional sliding mode control, logarithmic phase Crone control, fractional reset control, fractional H2 and H control, fractional predictive control, and fractional time-varying control. Each chapter contains solved examples and references for further reading. Common definitions and proofs are included, along with a discussion of how MATLAB can be used to assist in the design and implementation of fractional control. This book is an essential guide for researchers and advanced students of control engineering in academia and industry.

Inspec keywords: path planning; transfer functions; mathematical analysis; three-term control; variable structure systems; trajectory control; identification; state-space methods; algebra

Other keywords: fractional PID; fractional control; fractional sliding mode control; real orders; fractional transfer functions; fractional identification; H2 control; variable orders; time-varying control; crone control; trajectory planning; fractional reset control; H∞ control; complex orders; fractional calculus; pseudo-state-space representation

Subjects: General and management topics; Multivariable control systems; Simulation, modelling and identification; Algebra; Spatial variables control; Control system analysis and synthesis methods

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