This paper concerns the design of a novel unknown input observer (UIO) for discrete-time linear parameter-varying (LPV) systems with bounded rates of parameter variation. The synthesis conditions have been formulated using a less conservative approach to obtain two different structures: a proportional UIO and a proportional-integral UIO. The main highlights of the present design conditions are the ability to deal with discrete-time LPV systems subject to both states and outputs parameter-varying matrices in the state-space representation and also the possibility of bounded rates of parameter variation. Such conditions may be useful to achieve better performance than considering only arbitrarily fast time-varying parameters for the discrete-time LPV representations. In order to obtain the UIO designs, stability and induced ${\mathcal{L}}_2$ norm performance conditions using a poly-quadratic approach in terms of Linear Matrix Inequalities are addressed. Numerical examples are presented to demonstrate the effectiveness of the proposed design methods.

本文涉及具有参数变化率的离散时间线性参数变化（LPV）系统的新型未知输入观测器（UIO）的设计。使用不太保守的方法制定了合成条件，以获得两种不同的结构：比例UIO和比例积分UIO。当前设计条件的主要亮点是能够处理受状态影响的离散时间LPV系统，并能够在状态空间表示中输出参数变化矩阵，以及参数变化的限制速率的可能性。与仅针对离散时间LPV表示仅考虑任意快的时变参数相比，此类条件可能有助于获得更好的性能。为了获得UIO设计，稳定性和诱导性${\mathcal{大号}}_2$解决了在线性矩阵不等式方面使用多二次方方法的规范性能条件。数值例子表明了所提出的设计方法的有效性。