Polynomial-time randomized algorithms were constructed to approximately solve optimal robust performance controller design problems in probabilistic sense and the rigorous mathematical justification of the approach wa...Polynomial-time randomized algorithms were constructed to approximately solve optimal robust performance controller design problems in probabilistic sense and the rigorous mathematical justification of the approach was given. The randomized algorithms here were based on a property from statistical learning theory known as (uniform) convergence of empirical means (UCEM). It is argued that in order to assess the performance of a controller as the plant varies over a pre-specified family, it is better to use the average performance of the controller as the objective function to be optimized, rather than its worst-case performance. The approach is illustrated to be efficient through an example.展开更多
提出了一种具有更广调频宽度的摇摆双调谐质量阻尼器(dual-tuned mass damper,RDTMD)。首先,建立了单自由度RDTMD减振系统在简谐激励作用下的动力方程,推导得出其位移动力放大系数表达式;然后,基于RDTMD的优化评价函数,编译参数优化程序...提出了一种具有更广调频宽度的摇摆双调谐质量阻尼器(dual-tuned mass damper,RDTMD)。首先,建立了单自由度RDTMD减振系统在简谐激励作用下的动力方程,推导得出其位移动力放大系数表达式;然后,基于RDTMD的优化评价函数,编译参数优化程序,获得RDTMD的全局最优参数以及条件最优参数;接着,探讨了阻尼器各参数对系统动力放大系数和调频宽度的影响规律,并对影响其鲁棒性的关键参数做了分析;最后,与传统DTMD、MTMD、TMD的减振效果和鲁棒性做了对比分析。分析结果表明:采用RDTMD对结构进行控制可有效降低主结构的动力响应;RDTMD的调频宽度更广,提高了阻尼器对主结构高阶振型的控制能力;在对装置鲁棒性的影响更大的主结构固有频率方面,RDTMD的鲁棒性明显优于其他同类阻尼器,是一种理想的减振控制装置。展开更多
文摘Polynomial-time randomized algorithms were constructed to approximately solve optimal robust performance controller design problems in probabilistic sense and the rigorous mathematical justification of the approach was given. The randomized algorithms here were based on a property from statistical learning theory known as (uniform) convergence of empirical means (UCEM). It is argued that in order to assess the performance of a controller as the plant varies over a pre-specified family, it is better to use the average performance of the controller as the objective function to be optimized, rather than its worst-case performance. The approach is illustrated to be efficient through an example.
文摘提出了一种具有更广调频宽度的摇摆双调谐质量阻尼器(dual-tuned mass damper,RDTMD)。首先,建立了单自由度RDTMD减振系统在简谐激励作用下的动力方程,推导得出其位移动力放大系数表达式;然后,基于RDTMD的优化评价函数,编译参数优化程序,获得RDTMD的全局最优参数以及条件最优参数;接着,探讨了阻尼器各参数对系统动力放大系数和调频宽度的影响规律,并对影响其鲁棒性的关键参数做了分析;最后,与传统DTMD、MTMD、TMD的减振效果和鲁棒性做了对比分析。分析结果表明:采用RDTMD对结构进行控制可有效降低主结构的动力响应;RDTMD的调频宽度更广,提高了阻尼器对主结构高阶振型的控制能力;在对装置鲁棒性的影响更大的主结构固有频率方面,RDTMD的鲁棒性明显优于其他同类阻尼器,是一种理想的减振控制装置。
