考虑弹性与多约束的导弹模型预测稳定控制  

Missile model predictive stability control considering elasticity and multiple constraints

作　　者：姜源 何国松 JIANG Yuan;HE Guosong(Jiangnan Electromechanical Design Institute,Guiyang 550009,China)

机构地区：[1]江南机电设计研究所,贵阳550009

出　　处：《航天控制》2025年第2期26-32,共7页Aerospace Control

摘　　要：针对弹性频率低、多约束的细长体防空导弹稳定控制问题,提出了一种考虑弹性与多约束的线性时变模型预测控制方法。首先,为保证中频段的幅值衰减,采用过载误差积分输出对导弹线性状态空间方程进行增广,在模型预测控制全状态反馈策略下,控制器继承了传统三回路控制方法的结构;其次,以确保导弹过载和姿态响应的快速性和平顺性为准则构建代价函数,将导弹的稳定控制问题转化为对模型预测控制进行滚动优化求解;最后,为保证系统在弹性工况下的稳定性和弹性抑制能力,在输出端串入陷波器。仿真结果证明,所提出的方法具有良好的弹性抑制能力和多约束处理能力,同时相比于传统三回路控制方法具有更快的响应速度和更高的控制精度。Aiming at the stability control of a slender air defense missile under low elastic frequency and multiple constraints,a linear time-varying model predictive control method which is considered under elasticity and multiple constraints is proposed.Firstly,in order to ensure the amplitude attenuation in the mid-frequency band,the overload error integral output is used to augment the missile′s linear state space equation.Under the model predictive control full state feedback strategy,the controller inherits the structure of the traditional three-loop control method.Then,a cost function is established,which is based on the criterion of ensuring the rapidity and smoothness of the missile′s overload and attitude response,and the missile′s stability control problem is transformed into a rolling optimization solution of model predictive control.Finally,in order to ensure the stability and elastic suppression capability of the system under elastic working conditions,a notch is inserted into series at the output end.The simulation results show that the proposed method has faster response speed,higher control accuracy and better elastic suppression ability,compared with the traditional three-loop control method.

关 键 词：多约束 防空导弹 预测控制 弹性抑制 

分 类 号：TJ765[兵器科学与技术—武器系统与运用工程]