Remote stabilization for fractional-order systems via communication networks

In this study, the problem of remote stabilization for fractional-order (FO) systems with input time-varying delay via communication networks is investigated. The order of the FO system denoted by α considered in this paper is in the range of 0 to 2. Additionally, the network induced time-varying delay is considered as being generated by a known FO dynamic system. We show how the delay dynamics can be explicitly incorporated into the Networked Control System controller design. The basic idea is to use linear matrix inequality and receding horizon control framework. We use the receding horizon method to design a stabilizing control law that sets the poles of the closed-loop system. The proposed control law explicitly takes into account an estimation of the delay dynamics. Finally, numerical examples are offered to demonstrate the effectiveness of the proposed method.