CAJ | 학술논문

为了在实际控制中取得更优的效果,结构阻尼采用分数阶表示,以建筑结构为研究对象,设系统的阻尼为位移向量的α阶导数,提出一种变异阶次控制器的设计方法。具体过程为：首先,假设原运动方程中的阻尼项为系统位移向量的β阶导数,并对该运动方程进行控制器设计；其次,考虑控制对象为含α阶导数的运动方程,为达到控制目的,采取基于输出相同的处理方式；再次,根据第3代基准建筑物定义的性能指标,通过搜索的方式确定最优参数β,分数阶阶次在0和2之间均有阻尼效果,搜索范围为[0,2]。仿真结果表明,存在不同于α的β值可获得更优的控制效果,同时,针对不同的性能指标,最优β的选取亦不同。最后,通过一个仿真实例说明该控制方法的可行性。
위료재실제공제중취득경우적효과,결구조니채용분수계표시,이건축결구위연구대상,설계통적조니위위이향량적α계도수,제출일충변이계차공제기적설계방법。구체과정위：수선,가설원운동방정중적조니항위계통위이향량적β계도수,병대해운동방정진행공제기설계；기차,고필공제대상위함α계도수적운동방정,위체도공제목적,채취기우수출상동적처리방식；재차,근거제3대기준건축물정의적성능지표,통과수색적방식학정최우삼수β,분수계계차재0화2지간균유조니효과,수색범위위[0,2]。방진결과표명,존재불동우α적β치가획득경우적공제효과,동시,침대불동적성능지표,최우β적선취역불동。최후,통과일개방진실례설명해공제방법적가행성。
In order to achieve a better control effect, the fractional-order was used to describe the damping force, which was supposed to be anα-order derivative of the displacement vector, and a variational-order controller design method was developed. The detailed process is as follows:First, it is assumed that the damping force in the original equation of motion is aβ-order derivative of the displacement vector and the controller is designed according to this assumption. Second, considering the equation of motion that includes anα-order derivative as the control object, a control strategy based on systemic output is applied to ensure that the designed controller can be used for the original model. Third, the optimal parameter β is determined with the search method according to the third generation of the benchmark building control performance index. In this study, there was a damping effect when the fractional-order ranged from 0 to 2 , and the search scope was between 0 to 2 . The simulation results show that optimal parameters can be found to obtain a better control effect when β is different from α. Meanwhile, the selection of the optimal β varied with different performance indices. Finally, a simulation example verified the feasibility of the proposed control strategy.