基础隔震结构滑模控制的模糊趋近律方法

New Sliding Mode Control for Base-Isolation Buildings Using Fuzzy Control of Reaching Law

基于模糊控制的优点,将模糊控制与滑模控制相结合,采用了一种基于模糊趋近律的滑模控制方法对基础隔震混合结构的地震控制问题进行研究。以一个8层建筑结构模型为例来验证所提控制方法的有效性,其中,被动控制采用橡胶垫支座,主动控制采用由模糊趋近律方法设计的滑模控制器,结构非线性恢复力采用W en模型形式。算例数值分析结果表明,所提出滑模控制方法,控制效果明显,有效地减小隔震层中橡胶垫支座的水平位移,同时达到削弱控制系统抖振的目的。

Aim. The undue chattering effect is the major disadvantage of conventional sliding mode controllers used in Ref. 4 by B. Zhao et al. We now present a new sliding mode controller that can, in our opinion, keep the chattering effect sufficiently low. In this abstract, we list the following three topics of explanation in our full paper. （1） the motion equation, （2） the determination of switching surface, （3） the design of control law. Under the third topic, we derive eq. （14） in the full paper as the control law; εFuzzv in eq. （14） is determined by Table 1 in the full paper; Table 1, though somewhat different from a similar table in Ref. 6 by Liu, is based on Liu＇s experience. Finally, we take an eight-storey building＇s model as a numerical example to verify the effectiveness of our controller. In the hybrid controller, we use a rubber-- bearing isolation base as passive control device, use a sliding mode controller designed with the fuzzy reaching law as active control device, and use Wen method for describing the nonlinearity of restoring force. Table 3 shows preliminarily that the calculated maximum displacement response and the calculated maximum acceleration response of the building＇s model are greatly reduced, thus suppressing the chattering effect of the sliding mode controller. It should be particularly emphasized that Fig. 5（c） in the full paper shows preliminarily that our new sliding mode controller can keep the chattering effect sufficiently low.