基于模糊分数阶PI^λD^μ的柔性结构振动主动控制

Active control of flexible structure vibration based on fuzzy fractional order PI^λD^μ

为防止翅翼结构因干扰而产生振颤,以柔性悬臂梁结构为被控对象,提出一种参数自整定的分数阶比例积分微分控制器,在利用遗传算法取得优化参数后,通过模糊规则第2次对控制器参数进行在线整定,以达到实时最优控制的目的.在Simulink软件环境下进行了数值仿真,结果表明:设计的分数阶比例积分微分控制器具有记忆性,动态表征能力强.与常规比例积分微分控制器相比,冲击激励下的系统响应稳态时间缩短0.9s;简谐激励下的系统响应衰减幅度从88%提升到96%;随机激励下系统响应抖动减小,提高了稳定性.

In order to prevent wings vibration due to external interference, for the control object of flexible cantilever beam a scheme of fractional order proportion integration differentiation controller based on parameters self-correction was proposed. After the parameters were optimized by genetic algorithm firstly, they were set online by fuzzy rule for the second time in order to achieve real-time optimum control. Numerical simulation was carried out by Simulink software, and result shows that the proposed fractional order proportion integration differentiation controller has a memory ability and a strong dynamic characterization ability. Compared with the conventional proportion integration differentiation control- ler, the steady state time of system response decreases by 0. 9s under impulse stimulation; the reduced amplitude of system response increases from 88% to 96% under harmonic stimulation; the system tends to be more stable and the response jitter reduces under random stimulation.