线性时滞系统的离散滑模砰砰控制方法

将滑模控制和最优砰砰控制相结合,给出了线性时滞系统的离散滑模砰砰控制方法。考虑到实际中作动器难以适应正负极值控制力间的快速切换,给出了改进的离散滑模砰砰控制方法。考虑到在地震过程中作动器无需一直对结构施加控制,给出了改进的条件离散滑模砰砰控制方法。另外文中还通过算例给出了确定作动器最大控制力的近似方法。算例结果表明,所提出控制方法能够有效地减小结构地震作用下的峰值响应,控制效果优于经典的LQR控制方法,而且所给控制方法对结构固有参数变化具有较好的鲁棒性。

DISCRETE SLIDING-MODE BANG-BANG CONTROL METHOD FOR LINEAR SYSTEMS WITH TIME DELAY

Based on the combination of sliding-mode control(SMC) and bang-bang control(BBC),a discrete sliding-mode bang-bang control(DSMBBC) method is proposed in this paper.Since actuators applied in the system are not suitable for the high-speed switching of positive and negative maximum control-forces in the DSMBBC case,a modified discrete sliding-mode bang-bang control(MDSMBBC) method is presented.In consideration of the actuators’ unnecessary continuous exertion of control-forces on the structure in the whole process of earthquake,a conditional discrete sliding-mode bang-bang control(CDMSMBBC) method is presented too.In addition,the determination method of maximum control-force of actuator is discussed through numerical computation.The performance and robustness of the control methods are all demonstrated by numerical simulations.Simulation results indicate that the control effectiveness of the proposed methods is remarkable in reducing maximum responses of the structure in comparison with that of the discrete LQR method,and is robust with respect to system parametric uncertainties as well.