Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems presents an in-depth exploration of the challenges faced in stabilizing fractional-order systems with uncertainties, particularly those involving neutral-type delays. The book opens with a thorough introduction before advancing from constant fractional-order neutral-type systems (CFONT) to variable fractional-order counterparts (VFONT). Addressing real-world issues such as control input saturation and actuator delay, the book discusses both non-optimal and sub-optimal control approaches, including guaranteed cost controllers (GCC). It delves into output-feedback control as a viable alternative and compares static and dynamic feedback controllers, noting that dynamic controllers can enhance transient response but introduce additional complexity.

These methods ensure closed-loop system stability and performance by providing clear stabilization conditions expressed as linear matrix inequalities (LMIs), which can be efficiently solved using tools like MATLAB’s LMI toolbox or freely available software such as SEDUMI and YALMIP. Beyond theory, the book examines state- and output-feedback controller structures, acknowledging the practical limitations of accessing all system states.

• Covers stability and stabilization techniques for CFONT and VFONT systems
• Presents diverse feedback control structures, including static and dynamic state- and output-feedback controllers, along with FODO for disturbance handling
• Discusses on various controllers, including non-optimal and sub-optimal (GCC), for stabilizing FONT systems
• Systematic formulation of stabilization conditions as LMIs for easy resolution using existing toolboxes, accompanied by consistent problem formulation, theoretical findings, and simulation results throughout