Development of a Novel Fractional Order Sliding Mode Controller for a Gun Control System

Abstract

To solve the nonlinearity phenomenon of a Gun Control System (GCS), a novel Fractional order Sliding Mode Control (FoSMC) strategy is proposed in this study. By inducing the fractional order calculus, a Fractional Order PID (FOPID) type sliding surface is especially designed and consequently an equivalent control discipline with fractional order dynamics is induced. The saturation function is employed as the switch function. By numerical simulation, the dynamic characteristics of the FoSMC based control system are analyzed and compared with Conventional Sliding Mode Control (CSMC) system. The results demonstrate that the FoSMC system could reach up to the equilibrium state more smoothly, which shall significantly suppress the inherent chatter effects. Besides, the FoSMC based gun control system is of high response rate, better positioning accuracy and high robustness, which is suitable for fast, smooth and accurate adjustments of the gun.

Control of non‐integer‐order dynamical systems using sliding mode scheme

“…Nevertheless, to our best knowledge, there is little work on the chattering elimination of fractional sliding mode controllers. The commonly applied method in the literature for chattering reduction is the fuzzy and/or crisp boundary layer method . In the boundary layer method, the function in the control input is approximated by a continuous function such as tanh or function to prevent chattering.…”