Generally, as a precision-guided weapon, the missile has many disadvantage such as high price, difficult maintenance, and low yield. Modern war requires more and more new guided ammunition with high precision, low cost, and low collateral damage. Therefore, as a simple guided conventional ammunition technology, the dual-spin projectile has attracted the attention of ammunition experts recently. This paper proposes a dual-spin projectile scheme based on the rotation control method. Firstly, the concept of the dual-spin projectile is introduced. Secondly, the mathematical model of the dual-spin projectile is established, and the angular motion equation is finally obtained by using some linearized assumptions. Finally, the sufficient and necessary conditions of coning motion stability for dual-spin projectile with angular rate loops are analytically derived and further verified by numerical simulations. It is noticed that the upper bound of the control gain is affected by the delay angle of the control system and the spinning rate of the projectile.

中文翻译：

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带有角速率环的Canard引导双自旋弹的飞行稳定性

通常，作为精确制导武器，导弹具有许多缺点，例如价格高，维护困难和产率低。现代战争需要越来越多的新型制导弹药，其精度高，成本低，附带损害少。因此，作为一种简单的常规常规弹药技术，双旋弹丸近来引起了弹药专家的关注。本文提出了一种基于旋转控制方法的双自旋弹丸方案。首先，介绍了双自旋弹丸的概念。其次，建立了双自旋弹丸的数学模型，并通过一些线性化假设最终得到了角运动方程。最后，分析地推导了具有角速度环的双自旋弹头的圆锥运动稳定性的充要条件，并通过数值模拟对其进行了进一步验证。注意，控制增益的上限受控制系统的延迟角和弹丸的旋转速度的影响。