摘要
针对一类含有输入时变时滞的结构振动系统,研究了在执行器发生故障情况下系统全局渐近稳定的鲁棒H∞可靠控制设计的问题。首先根据建筑结构力学原理,建立了包含控制输入滞后、执行器故障等的结构系统状态模型。然后基于Lyapunov稳定性理论和线性矩阵不等式处理方法给出了一个时滞依赖型H∞可靠主动控制算法,且控制器存在的充分条件以线性矩阵不等式的形式给出。通过对一个四自由度建筑结构模型在EICentro地震波作用下振动的主动控制仿真,验证了所提方法的可行性,可用于工程结构的振动控制。
The robust H∞ reliable control with stabilization is investigated for input time-varying delay structure vibration systems against the actuator failure.According to structural dynamics theory,a state-space model with contains input time-varying delay,and actuator failure is established.A delay-dependent robust H∞ reliable active control algorithm is proposed based on both Lyapunov stability theory and LMI approach.The controller is derived for a sufficient condition given by LMI.A building model with four degrees of freedom subjected to the EI Centro earthquake is simulated.The results show that the proposed method is feasible and thus can be used to control the vibration of engineering structures.
出处
《控制工程》
CSCD
北大核心
2010年第3期279-282,共4页
Control Engineering of China
基金
长江学者和创新团队发展计划资助项目(No.IRT0629)
甘肃省自然科学基金资助项目(3ZS061-A25-044)
关键词
结构振动系统
H∞容错控制
输入时变时滞
时滞依赖
执行器失效
structural vibration systems
H∞ reliable control
input time-varying delay
delay-dependent
actuator failure
