This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters for LPV systems. This problem has already been tackled and several methods have been proposed by overbounding the discrepancies between the actual scheduling parameters and the provided ones in the derivation of controller design condition. However, all methods in literature have conservatism in the overbounding, which is the main issue addressed in this article. We therefore propose a new overbounding for the discrepancies with the reverse use of Elimination lemma, which introduces no conservatism in theory. The new method is formulated in terms of bilinear matrix inequality, which is not tractable compared with linear matrix inequality, thus a practical design procedure composed of line search and iterative algorithm is shown. The effectiveness of our method is illustrated by an application to flight controller design for the lateral‐directional motions of a research airplane MuPAL‐α and the consequently conducted flight tests.

中文翻译：

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面对不精确的调度参数的线性参数变化控制设计的保守性降低

本文解决了依赖于LPV系统的不精确调度参数的线性参数变化（LPV）输出反馈控制器的设计问题。已经解决了这个问题，并通过推导控制器设计条件中的实际调度参数与提供的调度参数之间的差异，提出了几种方法。但是，文献中的所有方法在越界方面都具有保守性，这是本文要解决的主要问题。因此，通过反向使用消除引理，我们为差异提出了一个新的界限，它没有引入保守主义理论上。根据双线性矩阵不等式提出了新方法，该方法与线性矩阵不等式相比不易处理，从而给出了由线搜索和迭代算法组成的实用设计过程。我们的方法的有效性通过对研究飞机MuPAL- α的横向运动的飞行控制器设计应用以及随后进行的飞行测试得到了说明。