Conversion From Unstructured LPV Controllers to Observer-Structured LPV Controllers
Conversion From Unstructured LPV Controllers to Observer-Structured LPV Controllers
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从非结构化 LPV 控制器到观察者结构 LPV 控制器的转换
DOI：
10.1109/cdc51059.2022.9992585
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Sebe Noboru
中科院分区：
文献类型：
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作者：
Sato Masayuki;Sebe Noboru
本文解决了从非结构化线性参数变化 (LPV) 控制器到观测器结构 LPV 控制器的转换问题，该控制器是为具有参数不确定性和调度参数的 LPV 电站系统而设计的。一般来说，使用参数相关线性矩阵不等式（LMI）设计的 LPV 控制器没有特殊的结构。在这个问题上，我们提出了“观察者结构的LPV控制器”，它甚至可以在不知道LPV电站系统的标称状态空间矩阵的情况下定义LPV电站系统，并且我们解决了从先验设计的非结构化LPV控制器到观察者结构LPV控制器的转换问题，以便在不改变控制器的输入到输出属性的情况下嵌入观察者属性。为此，我们首先使用非结构化 LPV 控制器的状态空间矩阵、单一自由矩阵和常数状态变换矩阵参数化观察器结构 LPV 控制器的状态空间矩阵，然后给出参数化多仿射 LMI 的公式，以获得关于从外部输入到对象状态估计误差的诱导 L2/l2norm 的最佳常数状态变换矩阵。引入一个数值例子来证明我们的命题的有用性。
This note addresses the conversion problem from unstructured Linear Parameter-Varying (LPV) controllers, which are designed a priori for LPV plant systems possessing parametric uncertainties as well as scheduling parameters, to observer-structured LPV controllers. In general, LPV controllers designed using parametrically dependent Linear Matrix Inequalities (LMIs) have no special structures. On this issue, we propose "observer-structured LPV controllers" which can be defined even for LPV plant systems without knowledge of the nominal state-space matrices of the LPV plant systems, and we address the conversion problem from a priori designed unstructured LPV controllers to observer-structured LPV controllers in order to embed observer property without changing controllers’ input-to-output properties. To this end, we first parametrize the state-space matrices of observer-structured LPV controllers using those of the unstructured LPV controllers, single free matrices and constant state transformation matrices, and then give a formulation in terms of parametrically multi-affine LMIs to obtain the optimal constant state transformation matrices with respect to induced L2/l2norm from external input to plant state estimation errors. A numerical example is introduced to demonstrate the usefulness of our propositions.