用遗传算法求解广义系统最优同时镇定问题

摘要

研究了用改进的遗传算法(简称GA)求解同时镇定一族线性定常广义系统的最优输出反馈控制问题在满足稳定性的条件下，将最优同时镇定转化为一个受约束的非线性最小化问题引入了自适应机的制和惩罚函数变换，对传统的GA进行改造，并用于受约束非线性问题的一局优化，计算结果和数值仿真说明GA是求解同时镇定问题的一种有效的数值方法。%The optimal simultaneous stabilization problem for a collection of linear time-invariant descriptor systems via output feedback control law calculatecd by an improved genetic algorithm is considered in this paper.Under the condition of stability,the optimal simultaneous stabilizing problem is transformed into a constrained nonlinear menimizing prob-lem.Using GA to optimize the constrained nonlinear problem globally,traditional genetic algorithm is impproved by introducing the mechanism of adaptive and the transformation of penalty function .The calculation results and numerical simulations show that genetic algorithm is an effecive numerical method for simualtneous stabilization problem