State Space Feedback Control with Fractional Order $\text{PI}^{\lambda}$ Configuration for Fractional Order Cryptovirology Stabilization in Blockchain Systems

This paper proposes a fractional-order control scheme design for the stabilization of the non-linear chaotic cryptovirology in blockchain systems. Particle swarm optimization algorithm (PSO) is used for solving the Fractional order PI $\text{PI}^{\lambda}$ parameter's tuning. We show by numerical simulations that the fractional $\text{PI}^{\lambda}$ controller provides a good closed loop system performance for stabilizing the problem of unstable fixed point.