This paper addresses a pole‐assignment control problem for discrete‐time linear parameter varying (LPV) systems. Based on LPV modeling approach, time‐varying systems can be mathematically described via combining several linear systems and a specific weighting function. For the LPV systems, gain‐scheduled (GS) control scheme is applied to deal with stabilization problem subject to pole‐assignment constraint. Moreover, two cases of Lyapunov function are respectively employed to derive some sufficient conditions which belong to linear matrix inequality (LMI) problems. Solving those derived conditions, the corresponding GS scheduled controller can be designed such that the asymptotical stability and pole assignment of LPV systems are guaranteed. Finally, a controller problem of truck‐trailer system is used to demonstrate the applicability and effectiveness of the proposed design methods.

中文翻译：

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极点分配的线性参数变化系统的增益预定控制器设计

本文解决了离散线性参数变化（LPV）系统的极点分配控制问题。基于LPV建模方法，可以通过组合多个线性系统和特定的加权函数来对时变系统进行数学描述。对于LPV系统，采用增益调度（GS）控制方案来处理受极点分配约束的稳定问题。此外，分别使用两种情况的Lyapunov函数来导出属于线性矩阵不等式（LMI）问题的一些充分条件。为了解决这些衍生条件，可以设计相应的GS调度控制器，从而确保LPV系统的渐近稳定性和极点分配。最后，