用遗传算法求解最优同时镇定控制器

研究了用改进的遗传算法求解同时镇定一族线性定常系统的最优状态 /输出反馈控制律问题。引入了通常的二次型指标作为每一个系统的性能指标。在满足稳定性的条件下 ,通过最小化每个系统性能指标的加权函数值来求得最优同时镇定律。提出了一种求解该优化问题的改进遗传算法。计算结果说明了该方法的有效性。

Calculating the Optimal Simultaneous Stabilizing Controller by Genetic Algorithm

Optimal simultaneous stabilization of a collection of linear time-invariant systems via state/output feedback control law obtained by an improved genetic algorithm is considered. The usual quadratic objective function is introduced for each system as the performance index. The optimal stabilizing law is obtained by minimizing the sum of each system's weighted objective function, under the constraint of stability. An improved genetic algorithm for solving the above optimal problem is proposed. The calculation results show the effectiveness of this method.