【摘要】 针对高阶结构系统不便直接进行控制器设计的问题,建立基于结构降阶模型和频域不确定性的H∞鲁棒控制设计方法,给出系统满足鲁棒稳定性和鲁棒性能所需的条件,并利用频域不确定性影响灵敏度和干扰抑制灵敏度的混合灵敏度方法设计出H∞控制器。为说明该方法的有效性,对三自由度结构振动系统进行H∞控制数值模拟,并与常用的LQR最优控制方法进行比较,结果表明由于考虑了降阶模型的频域不确定性,对高频截断模态没发生控制溢出现象,因而具有对模型误差的鲁棒性,而LQR方法有较为明显的控制溢出现象。更多还原

【Abstract】 This paper presents a H∞ robust control method for the reduced order structural system with frequency domain uncertainties.Necessary and sufficient conditions are presented,which guarantee stability and disturbance attenuation for all admissible uncertainties.A mixed sensitivity method based on sensitivity of frequency domain uncertainties and sensitivity of disturbance attenuation is employed to design H∞ controller.Finally,numerical examples illustrate the above advantages.A 3DOF structural system is adopted to verify the proposed method being effective.Numerical simulation results show that the method is better than conventional LQR at controlling the high order modal spillover.更多还原