针对传统控制方法控制品质易受气动参数变化影响的问题, 结合分数阶微积分理论和LQR最优控制技术, 设计了改进的导弹分数阶控制器。首先对于导弹动力学模型进行状态重组, 应用LQR技术采用输出反馈, 得到基于导弹最优跟踪指标的三回路控制结构, 进而构建了广义分数阶控制器结构。为优化控制器参数选择, 提出一种综合频域和时域性能的适应值函数, 通过粒子群(PSO)算法整定控制器参数。仿真结果表明分数阶控制器具有良好的稳态、动态特性性能。

To the problem that traditional control method for quality controlling is sensitive to the change of aerodynamic parameters, an improved fractional order controller was designed based on fractional order calculus theory and Linear Quadratic Regulator (LQR) optimal control technique.First, state reconfiguration of missile dynamics model was carried out, by using LQR technique and output feedback, a three-loop control structure based on missile optimal tracking index was obtained.Then, a generalized fractional order controller structure was constructed.Parameters of the missile fractional order controller were tuned by an improved particle swarm optimization algorithm, in which both the performance in time domain and frequency domain stability performance and penalty function were combined to construct a fitness function.The controller parameters were set though Particle Swarm Optimization (PSO) algorithm.Simulation results show that the fractional order controller has a good steady and dynamic performance.