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Direct derivation method of noncausal compensators for linear continuous-time systems with impulsive effects

机译:具有脉冲效应的线性连续时间系统的无因果补偿器的直接推导方法

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In this paper we study the H# tracking problems with preview for a class of linear continuous-time systems with impulsive effects. The systems include linear continuous-time systems, linear discrete-time systems and linear systems with the input realized through a zero-order hold. The necessary and sufficient conditions for the solvability of the H tracking problem are given by Riccati differential equations with impulsive effects and terminal conditions. Correspondingly feedforward compensator introducing future information is given by linear differential equation with impulsive parts and terminal conditions. In this paper we focus on the derivation method of noncausal compensator dynamics from the point of view of dynamics constraint. We derive the pair of noncausal compensator dynamics and impulsive Riccati equations by calculating the first variation of the performance index under the dynamics constraint.
机译:在本文中,我们研究了一类具有脉冲效应的线性连续时间系统的带预览的H#跟踪问题。这些系统包括线性连续时间系统,线性离散时间系统和线性系统,其输入通过零阶保持来实现。具有脉冲效应和终端条件的Riccati微分方程给出了H 跟踪问题可解性的充要条件。相应地,前馈补偿器通过带有脉冲部分和终端条件的线性微分方程给出了未来的信息。本文从动力学约束的角度,着重研究了非因果补偿器动力学的推导方法。通过计算动力学约束下性能指标的第一变化量,我们推导出一对非因果补偿器动力学和脉冲Riccati方程。

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