Leonardo Acho, Pablo Buenestado, Gisela Pujol-Vázquez
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引用次数: 0
摘要
球梁实验平台是一个不稳定的非线性系统,被广泛用作测试不同控制器方法的基准控制装置,尤其适用于自动控制初学者提高控制知识技能。在本文中,我们对其进行了创新,用一个双转子系统来控制横梁的角度位置。我们的实验包括一个通过枢轴旋转的横梁,横梁的两端连接着两个螺旋桨。这样,我们就有了一个最新的一度空中装置,而且我们使用的不是一个球,而是一个在横梁上运动的质量块,它在横梁上的运动会对位置产生摩擦力。然后,控制目标是调节质量块在横梁上某个预定区域的位置,确保其在外部扰动和未建模不确定性面前的稳定性和鲁棒性。为此,我们定义了一个经典的 PI 控制器。为了评估闭环鲁棒性,我们在一个螺旋桨上引入了一个质量块,以引起扰动,从而模拟建模变化或干扰。实验结果证明,我们的实验平台非常适合无人机应用。
One-Degree Aerial Device: Control and Experimental Development
The ball and beam experimental platform is an unstable nonlinear system widely used as a benchmark control setup for testing different controller approaches, especially for beginners on automatic control to improve their control knowledge skills. In this paper, we innovate it by governing the angular position of the beam with a twin-rotor system. Our experiment consists of a beam that rotates through a pivot, in which two propellers are attached to the ends of this beam. Hence, we have a recent one-degree aerial device, and instead of using a ball, we employ a mass moving on the beam, presenting friction on position to its movements on the beam. Then, the control objective is to regulate the mass position at some predefined zone on the beam, ensuring stability and robustness in front of external perturbations and unmodeled uncertainties. To do so, we define a classical PI controller. To assess closed-loop robustness, a mass was introduced to one propeller to induce perturbation, thereby simulating modeling variations or disturbances. The experimental results prove the goodness of our experimental platform for drone applications.
期刊介绍:
Mathematical Problems in Engineering is a broad-based journal which publishes articles of interest in all engineering disciplines. Mathematical Problems in Engineering publishes results of rigorous engineering research carried out using mathematical tools. Contributions containing formulations or results related to applications are also encouraged. The primary aim of Mathematical Problems in Engineering is rapid publication and dissemination of important mathematical work which has relevance to engineering. All areas of engineering are within the scope of the journal. In particular, aerospace engineering, bioengineering, chemical engineering, computer engineering, electrical engineering, industrial engineering and manufacturing systems, and mechanical engineering are of interest. Mathematical work of interest includes, but is not limited to, ordinary and partial differential equations, stochastic processes, calculus of variations, and nonlinear analysis.