Fractional Calculus Guidance Algorithm in a Hypersonic Pursuit-Evasion Game

Abstract

<p class="p1">Aiming at intercepting a hypersonic weapon in a hypersonic pursuit-evasion game, this paper presents a fractional calculus guidance algorithm based on a nonlinear proportional and differential guidance law. First, under the premise of without increasing the complexity degree of the guidance system against a hypersonic manoeuvering target, the principle that the differential signal of the line-of-sight rate is more sensitive to the target manoeuver than the line-of-sight rate is employed as the guidelines to design the guidance law. A nonlinear proportional and differential guidance law (NPDG) is designed by using the differential derivative of the line-of-sight rate from a nonlinear tracking differentiator. By using the differential definition of fractional calculus, on the basis of the NPDG, a fractional calculus guidance law (FCG) is proposed. According to relative motions between the interceptor and target, the guidance system stability condition with the FCG is given and quantitative values are also proposed for the parameters of the FCG. Under different target manoeuver conditions and noisy conditions, the interception accuracy and robustness of these two guidance laws are analysed. Numerical experimental results demonstrate that the proposed guidance algorithms effectively reduce the miss distance against target manoeuvers. Compared with the NPDG, a stronger robustness of the FCG is shown under noisy condition.</p>

Predictive Differential Game Guidance Approach for Hypersonic Target Interception Based on CQPSO

“…Computation of the performance index For each new particle, compare its current performance index value with the value of L l j,best ðkÞ and G l j,best ðkÞ. If current value is better (with smaller value of performance References target maneuvers [16] step [18] step [14] sinusoidal [19] sinusoidal [20] step [21] step [22] step [36] International Journal of Aerospace Engineering index), then update the particle and its performance index value.…”

“…When the hypersonic target reenters the atmosphere and reaches the descent stage of the hypersonic flight trajectory, its speed is so fast that the remaining time for the defense system is so short that the interceptor no longer has an advantage in speed compared to the target [14,15]. Traditional guidance methods cannot intercept hypersonic targets to lag behind the target in some engagement scenarios [16]. Thus, the application and improvement of modern guidance laws for hypersonic target interception has been investigated.…”