智能梁结构鲁棒PID控制及其时滞稳定性分析

Robust PID Vibration Control of Intelligent Beam Structures with Time-delay Stability Analysis

研究了智能梁结构振动的鲁棒PID控制器的设计问题,考虑结构模态阻尼比及模态频率的不确定性,同时结合PID控制、保成本控制和H∞控制的优点,提出了一种鲁棒PID控制的设计方法,将PID控制器的参数整定问题转化为线性矩阵不等式凸优化问题的求解。考虑到实际系统中存在的时滞因素,对设计出的鲁棒PID控制系统进行了时滞稳定性分析,得出了使系统稳定的最大时滞量。最后,给出的数值算例说明了文中方法的可行性和有效性。

The design of the robust PID vibration control of intelligent beam structures was investigated.Considering the uncertainty of the structural mode damping ratio and mode frequency in a intelligent beam structure,and the excellence performance of PID control,guaranteed cost control and H∞ control,a new method to design robust PID vibration control was presented,where the optimal parameters of PID controller were obtained by solving a convex optimal problem of LMI.Aiming at the practical time-delay factors,the analysis of time-delay stability of robust PID vibration control system was carried out and the maximum time-delay of the stable system was obtained.An example verifies the feasibility and validity of the method.