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.

Highlights

  • Gun Control Equipment (GCE) is one of the key components of Fire Control Systems (FCSs), the motion stability and the motion accuracy of the gun are widely regarded as two main challenges associated with the developments of GCE with excellent performances (Kumar et al, 2009; Hao et al, 2011; Shen et al, 2011)

  • Due to the inherent nonlinearities existing in gun control systems as mentioned above, it is hard for the linear PID control strategy to achieve excellent control behaviors, resulting in deteriorating dynamic performances of the GCE

  • Simulation conditions: To investigate the performances and the unique characteristics of the proposed Fractional order Sliding Mode Control (FoSMC) based control strategy, a series of numerical simulations are conducted in this study

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Summary

INTRODUCTION

Gun Control Equipment (GCE) is one of the key components of Fire Control Systems (FCSs), the motion stability and the motion accuracy of the gun are widely regarded as two main challenges associated with the developments of GCE with excellent performances (Kumar et al, 2009; Hao et al, 2011; Shen et al, 2011). Originally proposed for the control of DC/DC buck converter in Calderón et al (2006), Efe and Kasnakoglu (2008) and Efe (2010) respectively designed a fractional sliding surface and an adaptive switching law for the control of a class of MIMO dynamic systems to enhance system performances (Efe and Kasnakoglu, 2008; Efe, 2010) This sort of FoSMC is applied to chaotic systems with strong nonlinearities and uncertainties (Faieghi et al, 2012). The improved switching strategy: To guarantee that the state trajectory can converge to the sliding surface, the corrective control should be employed and it is generally defined as: the controller parameters, the goal is to seek a control signal that will minimize the tracking error and the time that the system state trajectory needs to reach the sliding surface

SIMULATION RESULTS AND DISCUSSION
15 CSMC FoSMC
CONCLUSION
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