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Fractional order dynamic inversion controller for non-linear systems

机译:非线性系统的分数阶动态逆控制器

摘要

A device, method, and non-transitory computer readable medium for fractional order dynamic inversion control of nonlinear systems under the influence of a disturbance. The method for fractional order dynamic inversion control includes receiving a mathematical model of a controlled device, the mathematical model including a set of movement trajectories, wherein the movement trajectories include control objectives, formulating a first set of linear, time-varying, fractional order differential equations from the mathematical model, the first set including dynamic constraints on the control objectives, transforming the first set into linear equations by differentiating a norm measure function along the movement trajectories, thus generating a second set of fractional order differential equations, and determining a control signal for controlling the movement trajectories in the presence of disturbances by dynamically inverting the second set of fractional order differential equations.
机译:一种用于在干扰影响下对非线性系统进行分数阶动态逆控制的装置、方法和非瞬态计算机可读介质。用于分数阶动态逆控制的方法包括接收受控设备的数学模型,该数学模型包括一组运动轨迹,其中运动轨迹包括控制目标,从该数学模型建立第一组线性、时变、分数阶微分方程,第一组包括对控制目标的动态约束,通过沿运动轨迹微分范数测度函数,将第一组转化为线性方程,从而生成第二组分数阶微分方程,以及通过动态反转第二组分数阶微分方程来确定用于在存在干扰的情况下控制运动轨迹的控制信号。

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