In this article, the design problem of switching gain‐scheduled output‐feedback (SGSOF) controller with mixed performance exploiting inexact scheduling parameters for continuous‐time linear parameter‐varying (LPV) systems is tackled. The absolute and proportional uncertainties on the scheduling parameters are considered. All the system matrices of the LPV plant are supposed to have polynomial dependency of arbitrary degree on the scheduling parameters. By exploiting hysteresis switching law and utilizing two independent families of parameter‐dependent Lyapunov matrices and a family of slack variables, introducing additional degrees of freedom, performance improvement is achieved. A design approach, involving a two‐step algorithm, is proposed in terms of solutions to a set of parameter‐dependent linear matrix inequalities (LMIs) including parameter searches for two scalar values. The merit of the proposed method lies in its less conservativeness in comparison with the available approaches in the literature. Numerical studies are carried out to demonstrate the effectiveness of the presented method.

中文翻译：

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利用不精确的调度参数改进了多目标开关增益调度的控制器综合

本文讨论了混合增益切换增益预定的输出反馈（SGSOF）控制器的设计问题 解决了针对连续时间线性参数变化（LPV）系统的不精确调度参数的性能问题。考虑调度参数的绝对和比例不确定性。LPV工厂的所有系统矩阵都假定对调度参数具有任意程度的多项式依赖性。通过利用磁滞开关定律，并利用两个独立的参数依赖的Lyapunov矩阵族和一个松弛变量族，引入了更多的自由度，可以实现性能的提高。根据一组参数依赖的线性矩阵不等式（LMI）的解决方案，提出了一种涉及两步算法的设计方法，其中包括对两个标量值的参数搜索。与文献中可用的方法相比，该方法的优点在于保守性较低。数值研究表明了所提出方法的有效性。