采用变论域自适应模糊控制(VUAFLC)算法对地震作用下公路桥梁非线性振动控制的Benchmark问题进行研究。变论域自适应模糊控制算法通过在线调节模糊控制器的输入和输出变量的论域来改善传统模糊控制(FLC)算法的性能,基于Lyapunov函数方法设计了输出论域的自适应律。桥梁在不同场地类型和幅值的地震作用下的仿真分析结果表明,基于VUAFLC算法的主动分散控制策略能够有效抑制结构的地震响应;在控制力峰值几乎相等的条件下,控制效果优于传统的模糊控制算法和LQG最优控制算法。
Variable universe adaptive fuzzy control (VUAFLC) algorithm is employed in this paper for benchmark structural nonlinear vibration control problem of a seismically excited highway bridge. VUAFLC improves the performance of traditional FLC by adjusting the universes of input and output variables on line, and the adaptive law of output universes is developed based on Lyapunov function method. Numerical results show that seismic responses of the highway bridge using decentralized control strategy based on VUAFLC control algorithm can be reduced effectively when different soil type and seismic amplitude are simulated, and the control results of this strategy are superior to those of the FLC and LQG algorithm on the condition that peak control forces of these three control algorithm are almost the same.