控制向量有界的二阶数字系统时间最优控制方法

The Optimal Control Method for Second order Digital Control System with Bounded Control Signal

本文提出一种对控制向量有界的二阶数字系统求最短时间控制序列的方法。它是在连续系统Bang-Bang原理基础上推出的。此方法首先对所讨论的系统导出线性区、多边形标线及线性带;再将系统线性带外的点推至线性带内,继之由线性带内推至多边形标线上;最后推至平衡点。此方法对于二阶数字最优控制系统求最短时间控制序列是一个很有效的简便方法。

In this paper, method of minirhun-time control for second order digital control systems with bounded control signals is derived based on the Bang-Bang control principle of' continuous systems. A polygonal target curve, a linear band and regions of reaching states are introduced in each system. The key points of this approach are as to move states outside the linear band into the linear band, and then from the lirear band to the P.T curve, finally to the equilibrium point. The minimun-time control sequence for secondorder digital control systems can be found easily and effectively.