控制能量受限下定常离散线性系统最小拍控制序列的一种计算方法

A KIND OF CALCULATING METHOD OF THE MINIMUM STEP CONTROL SEQUENCE FOR THE STEADY DISCRETE LINEAR SYSTEM UNDER THE CONSTRAINT OF CONTROL ENERGY

讨论了控制能量受限下定常离散线性系统的最小拍控制序列的一种计算方法．指出了控制能量受限下离散线性系统的最小拍控制序列有时是不唯一的．利用凸集的支撑超平面等方法首先研究了能控域的结构特性，然后定义控制能量受限下的最小拍最小能量控制序列的综合问题．最后还给出了求解最小拍最小能量控制综合序列的计算方法．

Discusses a kind of the calculating method of the minimum step control sequence for the steady discrete linear system under the constraint of control energy,points out that sometimes the minimum step control sequence for the discrete linear system under the constraint of control energy is not sole. First of all, studies the structural characteristic of the controllable region by means of the support hyperplane of the.convex set,then the synthesis problem of minimum step and minimum energy control sc.quence in the constraint of control energy is defined. Finally provides a calculating method of how to find out the synthesis solution of the minimum step and minimum energy control sequence.