结构非线性振动的自适应模糊滑模控制

结构在强震作用下将不可避免地进入塑性阶段,表现出非线性行为,而总体上说,结构非线性振动还没有系统、有效的控制方法.本文主要研究了结构非线性振动的自适应模糊滑模控制算法,用模糊系统来自适应地逼近非线性系统以实现滑模控制力,同时采用模糊系统消除滑模控制所带来的抖振现象,并给出了模糊滑模控制器和自适应律的设计.仿真模型采用3层和20层的Benchmark非线性结构模型,每层均设置一个采用自适应模糊滑模控制算法的控制装置,计算出其在地震输入下的结构响应,然后对仿真结果进行了分析.仿真结果表明,自适应模糊滑模控制算法能够充分发挥自适应模糊控制和滑模控制的优点,较好地实现对结构在地震作用下非线性振动的控制,并得到令人满意的结果.

Adaptive fuzzy sliding mode control for nonlinear vibration reduction of structure

The response of structures deforms into their inelastic range during intense ground shaking and exhibits nonlinear behavior,and as a whole, there is no systematic and effective means for nonlinear structure control. In this paper, the active control is applied to the nonlinear structure through the adaptive fuzzy sliding mode control strategy to eliminate the damage of structure. The fuzzy system is used to approximate the nonlinear structure model and diminish the chattering phenomenon, and then the design of a fuzzy sliding mode controller and an adaptation law is introduced. The simulation is made on the three-story and twenty-story steel frame model which are referred to as the third generation Benchmark model. The control force is applied to each floor through control devices that use the adaptive fuzzy sliding mode control algorithm. Then we calculated the response of the structure under earthquake and analyzed the results. The results are satisfied in that adaptive fuzzy sliding mode control can utilize the advantage of both the adaptive fuzzy control and the sliding mode control very welt when applied to the nonlinear structure under the earthquake excitation.