Optimal Guaranteed Cost Control Design for Lateral Aircraft Dynamics with Uncertainties and Time Delay

Yujia Wang, Muyuan Wang, Jiae Yang, Xiaolei Liu, Xuebo Yang
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Abstract

This paper presents an optimal guaranteed cost controller for aircraft lateral dynamics. A linear model with parametric uncertainties and time delay is first used to establish the proposed control scheme. The Lyapunov stability theorem and linear matrix inequality are then used to design an optimal state feedback control law for application to the lateral aircraft dynamics which resolves the instability caused by said uncertainties and time delay. The effectiveness and robustness of the model are demonstrated via simulation.
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具有不确定性和时滞的横向飞机动力学最优保成本控制设计
提出了飞机横向动力学的最优保成本控制器。首先采用具有参数不确定性和时滞的线性模型来建立所提出的控制方案。然后利用李雅普诺夫稳定性定理和线性矩阵不等式,设计了应用于飞机横向动力学的最优状态反馈控制律,解决了上述不确定性和时滞引起的不稳定性。通过仿真验证了该模型的有效性和鲁棒性。
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