应用粒子群优化的导弹定结构H∞控制器设计

为解决传统鲁棒控制方法设计的控制器阶数过高,而经典PID控制方法又无法在设计过程中保证鲁棒性能的问题,采用基于约束粒子群优化的定结构H_∞控制器设计方法,把两者各自的优势结合起来并将其应用到导弹控制器的设计中.采用一种基于梯度的粒子修正算法对违反约束条件的粒子进行修正,通过典型测试函数测试并和常用的其他3种约束优化算法进行性能对比,表明了该算法在处理约束优化问题上的优越性.同时,以样例导弹三通道模型为控制对象,提出了时域性能和鲁棒性能兼顾的性能指标函数和约束条件,针对典型固定控制结构,应用梯度修正粒子群算法设计了控制器.仿真结果表明,样例导弹控制系统在满足各项时域性能指标的同时,也满足鲁棒性能指标,达到了设计要求.     

PROBABILITY-ONE HOMOTOPY ALGORITHMS FOR ROBUST CONTROLLER SYNTHESIS WITH FIXED-STRUCTURE MULTIPLIERS

Continuation algorithms that avoid multiplier–controller iteration have been developed earlier for fixed-architecture, mixed structured singular value controller synthesis. These algorithms have only been formulated for the special case of Popov multipliers and rely on an ad hoc initialization scheme. In addition, the algorithms have not used the prediction capabilities obtained by computing the Jacobian matrix of the continuation (or homotopy) map, and have assumed that the homotopy zero curve is monotonic. This paper develops probability-one homotopy algorithms based on the use of general fixed-structure multipliers. These algorithms can be initialized using an arbitrary (admissible) multiplier and a stabilizing compensator. In addition, as with all probability-one algorithms, the homotopy zero curve is not assumed to be monotonic and prediction is accomplished by using the homotopy Jacobian matrix. This approach also appears to have some advantages over the bilinear matrix inequality (BMI) approaches resulting from extensions of the LMI framework for robustness analysis. © 1997 by John Wiley & Sons, Ltd.