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A hybrid control approach for pole assignment to second-order asymmetric systems

机译：二阶非对称系统极点分配的混合控制方法

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Structural modification in the form of adding mass and stiffness (and sometime damping) as a means of passive control to assign desirable poles and zeros for symmetric systems has been extensively studied. Pole and zero assignment by means of active control has also attracted much research. Assignment of poles to stabilise second-order damped asymmetric dynamic systems using structural modifications and state-feedback control, respectively, was carried out recently. It was found that the former is often incapable of assigning complex poles with negative real parts for asymmetric systems while the latter is nearly always capable of doing that. However, the gains required to assign poles with negative real parts using active control can be high.rnThis paper presents a two-stage passive (structural modification) and active (state-feedback) combined control approach to assign complex poles with negative real parts to damped asymmetric dynamic systems to suppress flutter instability. This hybrid approach is motivated by possible restriction to gains of actuators and cost of sole active control. Simulated numerical examples show its effectiveness over the individual control strategies of passive control and active control.
机译：已经广泛研究了以增加质量和刚度（有时是阻尼）的形式进行的结构修改，以作为被动控制的一种方法，为对称系统分配理想的零点和零点。通过主动控制的极点和零点分配也吸引了很多研究。最近进行了分别通过结构修改和状态反馈控制来稳定二阶阻尼非对称动力系统的极点分配。人们发现，对于非对称系统，前者通常无法为带有负实部的复杂极点分配能量，而后者几乎总是能够做到这一点。但是，使用主动控制将极点分配为负实部所需的增益可能很高。rn本文提出了一种两阶段的被动（结构修改）和主动（状态反馈）组合控制方法，可将带有负实际部分的复杂极点分配给阻尼非对称动力系统，可抑制颤动不稳定性。这种混合方法是受制于对执行器增益和唯一主动控制成本的可能限制。仿真算例表明了其在被动控制和主动控制的单独控制策略上的有效性。

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