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Nonlinear dynamics and control for a structurally nonlinear aeroelastic system

机译:结构非线性气动弹性系统的非线性动力学和控制

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This paper studies the stability properties of a class of nonlinear controls derived via feedback linearization techniques for a structurally nonlinear prototypical wing section. ^In the case in which the wing section has a single trailing edge control surface, the stability of partial feedback linearization to achieve plunge primary control is studied. ^It is shown that the zero dynamics in this case associated with the closed loop system response is locally asymptotically stable for a range of flow speeds and elastic axis locations. ^However, there exist locations of the elastic axis and speeds of the flow for which this simple feedback strategy exhibits a wide range of bifurcation phenomena. ^Both Hopf and pitchfolk bifurcations evolve parametrically in terms of the flow speed and elastic axis location. ^In the case in which the wing section has two control surfaces, the global stability of adaptive control techniques derived from full feedback linearization is studied. ^In comparison to partial or full feedback linearization techniques, the adaptive control strategies presented do not require explicit knowledge of the form of the structural nonlinearity. ^(Author)
机译:本文研究了通过反馈线性化技术获得的一类非线性控制结构的非线性原型机翼截面的稳定性。 ^在机翼部分具有单个后缘控制面的情况下,研究了部分反馈线性化以实现骤降一次控制的稳定性。 ^表明,在这种情况下,与闭环系统响应有关的零动力学在一定范围的流速和弹性轴位置上是局部渐近稳定的。 ^但是,弹性轴的位置和流速是这种简单的反馈策略表现出广泛的分叉现象的原因。 ^ Hopf分叉和螺距分叉都在流速和弹性轴位置方面参数化地发展。 ^在机翼部分具有两个控制面的情况下,研究了基于全反馈线性化的自适应控制技术的全局稳定性。与部分或全部反馈线性化技术相比,提出的自适应控制策略不需要明确了解结构非线性的形式。 ^(作者)

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