Control Design of Quadcopter using Linear Quadratic Gaussian (LQG)

Mardlijah, Zahra Nur Alifah
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Abstract

A quadcopter is an unmanned control aircraft with four rotors and is mounted in a square formation. Quadcopter moves with six degrees of freedom that are divided into two types of movements, there are rotational motion and translational motion. The Linear Quadratic Gaussian control method is used in this research, which combines the Linear Quadratic Regulator with Kalman Filter. LQG control was chosen because it can estimate state variables that are not measured, and it can save costs and time. The variables controlled and analyzed in this study are changes in the angle of rotational motion including roll, pitch, and yaw with a fixed linear position. The quadcopter mathematical model has been linearized and shows stability, controllability, and observability. Simulation results show that the system produces an overshoot less than 0.1 rad with a time stable less than 1 second.
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线性二次高斯(LQG)四轴飞行器控制设计
四轴飞行器是一种无人驾驶的控制飞机,有四个旋翼,并安装在一个方形编队。四轴飞行器的运动有六个自由度,分为两种运动,有旋转运动和平移运动。本研究采用线性二次高斯控制方法,将线性二次调节器与卡尔曼滤波相结合。选择LQG控制是因为它可以估计未测量的状态变量,并且可以节省成本和时间。本研究控制和分析的变量是在一个固定的直线位置上的转动运动角的变化,包括滚转、俯仰和偏航。四轴飞行器的数学模型已经线性化,显示出稳定性、可控性和可观测性。仿真结果表明,该系统产生的超调量小于0.1 rad,时间稳定小于1秒。
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