位置随动系统变结构李雅普诺夫双模控制

VSS Lyapunov Double Mode Control of Position Servo System

采用李雅普诺夫(Lyapunov)理论对变结构控制系统(Vscs)进行综合,针对位置随动系统提出了变结构Lyapunov双模控制。大偏差范围采用变结构Bang-Bang控制(BBC)以保证系统的鲁棒性与快速性,小偏差则采用线性控制,以提高系统的控制精度。仿真表明,它具有鲁棒性强、精度高与通用性强的特点。

The variable structure control system is generalized by using Lyapunov theory. In the position servo system, Lyapunov double mode control law of VSS is proposed. In order to improve fastness and robustness, variable Bang-Bang control is adopted in big range of errors. And the linear control is introduced into small range of errors in order to improve the accuracy of the control. Simulation shows that this system has very strong robustness, high precision and wide versatility.