This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This sixth volume collects authoritative chapters covering several applications of fractional calculus in control theory, including fractional controllers, design methods and toolboxes, and a large number of engineering applications of control.

• Preface 6
• Contents 8
• Nonlinear control methods 10
• Dynamical properties of fractional models 38
• Modified versions of the fractional-order PID controller 66
• H_∞ and H₂ control of fractional models 82
• Stability analysis of discrete time distributed order LTI dynamic systems 110
• Continuous-time fractional linear systems: transient responses 128
• Continuous-time fractional linear systems: steady-state responses 158
• State space methods for fractional controllers design 184
• Posicast control of fractional-order systems 210
• FOMCON toolbox for modeling, design and implementation of fractional-order control systems 220
• FOTF Toolbox for fractional-order control systems 246
• Fractional-order controllers for mechatronics and automotive applications 276
• Fractional-order modeling and control of selected physical systems 302