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

机译:具有冲动效应的线性连续时间系统的直接衍生方法

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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H#跟踪问题,以预览一类具有脉冲效果的线性连续时间系统。该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,其中输入通过零级保持实现。 H β/ INF>跟踪问题的可溶性的必要和充分条件由Riccati差分方程给出,具有脉冲效应和终端条件。通过具有脉冲部分和终端条件的线性微分方程给出了未来信息的相应前馈补偿器。在本文中,我们从动态约束的角度关注了非共轨补偿器动力学的推导方法。通过计算动态约束下的性能指数的第一个变化,我们通过计算了一对非共轨补偿器动力学和脉冲Riccati方程。

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