控制幅值受限下定常离散线性系统最小拍控制序列的一种综合方法

A SYNTHESIS METHOD OF THE MINIMUM STEP CONTROL SEQUENCE FOR THE TIME-INVARIANT DISCRETE LINEAR SYSTEM WITH THE RESTRICTION OF THE CONTROL AMPLITUDE

控制幅值受限下离散线性系统的最小拍控制问题与连续线性系统的快速控制问题是有很大差别的，主要是它的非唯一性与非ｂａｎｇ－ｂａｎｇ性。文中用凸集的支撑超平面等方法研究了能控域及其边界面的结构特性，给出了求解最小拍最小幅值控制序列综合解的一种计算方法，该方法计算量较小，有实用价值。

The problem of the minimum step control for the time-invariant discrete linear system with the restriction of control amplitude is quite different from the timeoptimal control for the continuous linear system. This is because the first problem have the properties of ununiqueness and non-bang-bang. In this paper, first of all,the method of the support hyperplane of the convex set is used to study the structural character of the controllable region and its boundary. Then a computing method which can achieve the minimum step control synthesis sequence with minimum amplitude is given. This method has a smaller amount of calculation and it is valuable in practical applications.