结构滑模控制的一种指数趋近律方法

Sliding Mode Control Based on Modified Exponential Approach Law for Structure Control

提出了一种指数趋近律 ,当正常运动段远离切换面时 ,能快速地趋向切换面 ;当运动接近切换面时 ,趋近速度又大大降低。这样与常用指数趋近律相比 ,过渡时间、系统的抖动以及所需控制力都能进一步减小。最后将这一理论应用到三层剪切型框架进行数值模拟 ,振动控制效果明显。

This paper is concerned with active vibration control of structures under seismic excitation.The approach law method in the variable structure system(VSS)and sliding mode control(SMC)system is employed in the present analysis.It is important that a modified exponential approach law for sliding mode control is presented in this paper.And it is applied to structure control under seismic excitation.The simulation results demonstrate that the modified exponential approach law result in a degradation of system chatter and decrease the necessary control force and reduce the structure response greatly.