This paper deals with new finite-time estimation algorithms for Linear Parameter Varying (LPV) discrete-time systems and their application to output feedback stabilization. Two exact finite-time estimation schemes are proposed. The first scheme provides a direct and explicit estimation algorithm based on the use of delayed outputs, while the second scheme uses two combined asymptotic observers, connected by a condition of invertibility of a certain time-varying matrix, to recover solution of the LPV system in a finite-time. Furthermore, two stabilization strategies are proposed. The first strategy, called Delayed Inputs/Outputs Feedback (DIOF) stabilization method, is based on the use of the explicit estimation algorithm. The second technique, called Two Connected Observers Feedback (2-COF) stabilization method, is based on the use of two combined observers providing exact finite-time estimation. A numerical example is given to show the validity and effectiveness of the proposed algorithms by simulation.

本文研究了用于线性参数变化（LPV）离散时间系统的新的有限时间估计算法及其在输出反馈稳定化中的应用。提出了两种精确的有限时间估计方案。第一种方案基于延迟输出的使用提供一种直接和显式的估计算法，而第二种方案则使用两个组合的渐近观测器，它们通过某个时变矩阵的可逆性条件连接，以恢复LPV系统的解。有限的时间 此外，提出了两种稳定策略。第一种策略称为延迟输入/输出反馈（DIOF）稳定方法，该方法基于显式估计算法的使用。第二种技术称为“两个连接的观察者反馈（2-COF）稳定化方法”，基于使用两个组合的观察器提供精确的有限时间估计。数值算例表明了所提算法的有效性和有效性。