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A new design of adaptive model following control system for lateral motion of aircraft

机译:用于飞机横向运动控制系统的自适应模型的新设计

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In this paper, a new design of an adaptive model following control (AMFC) system is proposed and analysed for a class of multi-input multi-output (MIMO) linear time-varying plants with unknown bounded parameters, and sufficiently slowly varying with time. We then show that the new approach based on combined Lyapunov method and hyper-stability criteria tries to overcome the problems of stability and zero tracking error. The main difficulty of Lyapunov methods is in finding an appropriate Lyapunov control function for the closed-loop system, therefore different choices of Lyapunov functions may result in different control structures and control performance. We show that the design of AMFC for the class of linear time-varying systems could be composed of a stable linear block in the feed forward path which turns out to be easily solvable by Lyapunov equation and a nonlinear time-varying block in the feedback path can be handled with using adaptive control techniques, such that the closed-loop dynamics of the system approaches the reference model. This structure results in greater flexibility in the choice of the adaptive laws. Finally, a typical numerical example to an aircraft control problem is analysed.
机译:在本文中,提出了一种新的控制(AMFC)系统的新设计,并分析了一类具有未知有界参数的多输入多输出(MIMO)线性时变植物,随时间充分缓慢变化。然后,我们表明基于Lyapunov方法和超稳定性标准的新方法试图克服稳定性和零跟踪误差的问题。 Lyapunov方法的主要难点是找到闭环系统的适当Lyapunov控制功能,因此Lyapunov函数的不同选择可能导致不同的控制结构和控制性能。我们表明,对于线性时变系统类的AMFC的设计可以由馈送前向路径中的稳定线性块组成,其旨在通过Lyapunov方程和反馈路径中的非线性时变块容易地解决可以使用自适应控制技术处理,使得系统的闭环动态接近参考模型。这种结构在选择自适应法律方面会产生更大的灵活性。最后,分析了飞机控制问题的典型数值示例。

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