H_∞强镇定问题的新解法

A New Method to H_∞ Strong Stabilization Problem

H∞强镇定问题可解的原始算法是依赖于一个解存在的充分条件.自然的此算法应用起来有一定的局限性.针对此问题,首先给出H∞强镇定问题可解的一个充要条件.并说明该条件在计算上很容易实现的.并由此充要条件出发设计了一个简单且实际可行的算法.该算法实际上没有局限性,而且比较利于计算机编程.最后举例说明新算法与H∞强镇定问题可解的原有算法相比,具有更大的优点.

The old algorithm for H∞ strong stabilization problem depends on one sufficient condition. Naturally this algorithm has limitation in application. Because of this, a sufficient and necessary condition for H∞ strong stabilization problem was proposed. It is very easy to obtain through the computer. According to this condition, one new algorithm was designed. Here the idea is simple and practically feasible. The new algorithm is valid in practice. It is easy to obtain by programming. Moreover an example by comparing new method with old method testifies that the second new algorithm is excellent.