用遗传算法同时镇定多对象系统

Simultaneous stabilization of linear systems via genetic algorithms

运用多项式稳定性充分判据 ,将线性系统的同时镇定问题转化成非线性不等式组的求解 .利用遗传算法解出不等式组的多个可行解 ,即同时镇定有限个对象的控制器参数的可行解集 .仿真验证了该方法的有效性 .

In this paper, the simultaneous stabilization problem of linear systems is transformed into solving problems of a set of nonlinear inequalities by using a sufficient criterion of polynomial stability. Then a genetic algorithm program is constructed for solving the inequalities, for finding a feasible set of control parametes which simulfaneously stabilize a finite set of plants. Examples demonstrate the effectiveness of this algorithm.