多约束非线性结构振动系统的鲁棒H_∞容错控制  

Robust H_∞ fault-tolerant control for structural nonlinear vibration systems with multi-constraints

作　　者：滕青芳[1] 孙金龙[1] 范多旺[2] 

机构地区：[1]兰州交通大学自动化与电气工程学院,兰州730070 [2]兰州交通大学光电技术与智能控制教育部重点实验室,兰州730070

出　　处：《计算机工程与应用》2012年第9期230-234,共5页Computer Engineering and Applications

基　　金：甘肃省自然科学基金(No.3ZS061-A25-044);长江学者和创新团队发展计划(No.IRT0629)

摘　　要：研究了多约束条件下非线性结构振动系统的鲁棒H∞容错控制问题。根据建筑结构力学原理,建立了包含输入时变时滞、执行器故障、非线性参数摄动以及干扰等多约束条件的结构振动系统状态模型,基于状态反馈和Lyapunov稳定性理论,提出了一个可满足多约束条件的时滞相关鲁棒H∞容错控制算法,该结果以线性矩阵不等式形式给出。在推导过程中只对矩阵不等式进行了两次放大,结果与输入时滞有关,以尽可能降低控制器设计的保守性。该方法设计的控制器能够使得时滞非线性结构振动系统具有指定H∞范数的干扰抑制能力,对执行器故障具有容错性。通过对一个四自由度建筑结构模型在EI Centro地震波作用下振动的控制仿真,验证了所提方法的可行性和有效性。The problem of robust H∞ fault-tolerant control for structural nonlinear vibration systems with multi-constraints is investigat- ed. According to structural dynamics theory, a state-space model containing multi-constraints such as input＇time-varying delay, actuator failure, parameter nonlinear, disturbance, ere is established. Based on state feedback and Lyapunov stability theory, a sufficient condi- tion of the existence of robust H∞ fault-tolerant controller is derived and then transformed to the corresponding Linear Matrix Inequality （LMI）. During inferential reasoning, the matrix inequality is only amplified twice and relied on system＇ s delay-time, so that it is possi- ble to sufficently reduce conservative of controller design. The resultant controller enables structural nonlinear vibration systems to re- tain robust stability and disturbance attenuation as well as to tolerate actuator failure. A building model with four degrees of freedom subjected to the E1 Centro earthquake wave is simulated and studied to examine the effectiveness of the algorithm provided above, and the results show that the proposed method is feasible.

关 键 词：结构振动 鲁棒H∞容错控制 线性矩阵不等式(LMI) 输入时变时滞 非线性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]