PD~λ guidance law based on fractional calculus
基于分数阶微积分PD^λ比例导引制导规律

To carry forward the advantages of the PID guidance law and avoid its flaws, we employ the fractional PD~λ guidance law. The elementary knowledge of fractional calculus, such as definitions, properties and numerical methods are outlined. Both the static inaccuracy and the sensitivity of the guidance system are analyzed. The performance of the control and the ballistic trajectory are studied theoretically. Numerical simulations results show that the fractional order guidance law are not sensitive to the changes of control parameters and controlled object parameters. At the same time, it has more flexible structure and stronger robustness. The fractional calculus demonstrates prospects of being a useful tool for improving the missile performance.