Nonlinear control schemes for an uncertain micro-cantilever beam: A simulation study

M. Attarzadeh, P. Jamali
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Abstract

Having known that human knowledge have experienced a significant progress so far in micro and nano arena, nobody can deny the importance of designing efficient and robust controller for such relevant systems. According to this, present study aims controller design for uncertain model of a micro-cantilever beam system. In doing so, first, a frequency independent nonlinear model is derived based on governing physical laws with having fringing and squeezed film damping effects fully taken into account. After modeling, sliding mode, and fuzzy sliding mode control methods are applied to the understudy system. The design process is described in detail for both. Then, in order to investigate the control performance, a set of simulations are run. Final results suggest that both controllers perform satisfactorily, however the fuzzy sliding mode controller seems to be slightly better in control performance while it also reduces the so-called chattering effect.
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不确定微悬臂梁非线性控制方法的仿真研究
众所周知,人类在微纳米领域的知识已经取得了巨大的进步,没有人可以否认为这些相关系统设计高效鲁棒控制器的重要性。基于此,本研究针对微悬臂梁系统的不确定模型进行了控制器设计。在此过程中,首先,基于控制物理定律推导了一个与频率无关的非线性模型,充分考虑了条纹效应和压缩膜阻尼效应。在建模后,将滑模和模糊滑模控制方法应用于替补系统。详细描述了两者的设计过程。然后,为了研究控制性能,进行了一组仿真。最终结果表明,两种控制器的性能都令人满意,但模糊滑模控制器的控制性能似乎略好,同时也减少了所谓的抖振效应。
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