区间离散系统的鲁棒控制

用值集凸分析方法研究了区间离散系统鲁棒镇定问题。当系统传函仅低次项系数受扰时,导出了一阶控制器鲁棒镇定区间系统的顶点结果,并举例说明了控制器的设计方法.

Robust Control of Interval Discrete Systems

The edge check results of the continuous interval systems are first extended to the interval discrete systems by employing the convex analysis way of value set. Further, in order to obtain some vertex check results, the discussion is limited to such a case when only lower order coefficients of transfer function of the discrete system are disturbed. It is shown that the closed loop stability of an interval discrete system with a first order controller can be guaranteed by that of its vertex plants provide that the pole of the controller satisfies the corresponding inequality conditions on the highest order of the disturbed coefficients. Here, the argument growing principle plays an important role in the proof of the main conclusion. An example is also included for illustrating the obtained results.