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Gain-Scheduled Output-Feedback Controllers Using Inexactly Measured Scheduling Parameters for Linear Parametrically Affine Systems

机译：使用用于线性参数仿射系统的不精确测量的调度参数的增益预定输出 - 反馈控制器

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摘要

In this note, two design problems for Linear Parameter-Varying (LPV) systems, whose state-space matrices are supposed to be parametrically affine with some mild constraints, are considered; Gain-Scheduled (GS) H_2 output-feedback controller design and GS H_∞ output-feedback controller design. The controllers to be designed are supposed to have parametrically affine state-space matrices. In sharp contrast to the conventional design methods of GS controllers, the scheduling parameters are supposed to be inexactly measured. Using parameter-independent Lyapunov functions, in which some conservatism is admitted, we give sufficient conditions for designing GS H_2 and GS H_∞ output-feedback controllers, which are robust against the uncertainties in the measured scheduling parameters, in terms of parametrically affine Linear Matrix Inequalities (LMIs) with one line search parameter. Our methods recover the design methods of conventional GS output-feedback controllers, in which scheduling parameters are supposed to be exactly measured, with an appropriate choice for the line search parameter. A simple numerical example is included to illustrate our results.
机译：在本说明中，考虑了用于线性参数变化（LPV）系统的两个设计问题，其状态 - 空间矩阵应该与一些轻度约束进行参数牵引;增益预定（GS）H_2输出反馈控制器设计和GSH_∞输出反馈控制器设计。要设计的控制器应该具有参数学仿射状态空间矩阵。与GS控制器的传统设计方法鲜明对比，应该测量调度参数。使用参数无关的Lyapunov函数，其中一些保守被承认，我们给出用于设计在仿射参数化线性矩阵方面GS H_2和GSH_∞输出反馈控制器，其对所测量的调度参数的不确定性健壮，充分条件使用一行搜索参数的不等式（LMI）。 Our methods recover the design methods of conventional GS output-feedback controllers, in which scheduling parameters are supposed to be exactly measured, with an appropriate choice for the line search parameter.包括一个简单的数字示例以说明我们的结果。

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