Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems

Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems focuses on stabilizing uncertain fractional-order (FO) neutral-type (FONT) systems, addressing challenges like control input saturation and actuator delay. Beginning with a comprehensive introduction, the book progresses from constant fractional-order FONT (CFONT) systems to variable fractional-order FONT (VFONT) systems. It explores non-optimal and sub-optimal control techniques, such as guaranteed cost controllers (GCC), offering closed-loop stability and performance. Stabilization conditions are presented as linear matrix inequalities (LMIs), facilitating easy resolution with available toolboxes like MATLAB's LMI toolbox, or free software such as SEDUMI and YALMIP.

In addition, the book investigates both state- and output-feedback controller structures. While most literature focuses on state-feedback control, the book acknowledges the limitations of accessing all system states and explores output-feedback control as an alternative. Both static and dynamic feedback controller types are studied, with dynamic feedback controllers offering improved transient response at the expense of increased complexity.

• 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

Alireza Alfi received a PhD in Control Engineering in 2008, from the Iran University of Science and Technology, Tehran, Iran. His current research interests are: Control Systems Theory, Time Delay Systems, Fractional Order Systems, Multi-agent Systems, Optimization.

Zahra Sadat Aghayan received a PhD in Control Engineering in 2021, from the Shahrood University of Technology, Shahrood, Iran. Her current research interests are: Fractional Order Systems, Time Delay Systems, Robust Control, Linear Matrix Inequalities.

António M. Lopes received a PhD in Mechanical Engineering in 2000, from the University of Porto, Portugal. His current research interests are: Automation, Robotics, Complex Systems, Fractional Order Systems, Modelling and Control.