Fractional-Order Boundary Controller Of The Anti-Stable Vibration Systems

This paper discusses the boundary controller of string vibration systems, a new boundary controller of string anti-stable vibration system based on fractional calculus will be considered. This paper presents a boundary control method of anti-stable vibration systems. The fractional controller of the anti-stable system is obtained from the integer-order controller by replacing the first-order time derivative with a fractional derivative of order b. Numerical simulations are used to illustrate the improvements of the proposed controller for the anti-stable vibration systems.