A Synthesis Method of the Minimum Step Control Sequence for the Time-Invariant Discrete Linear System With the Restriction of the Control Amplitude
控制幅值受限下定常离散线性系统最小拍控制序列的一种综合方法

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.