论文标题
使用二次矩阵不等式的线性参数变化系统的数据驱动增益计划控制
Data-Driven Gain Scheduling Control of Linear Parameter-Varying Systems using Quadratic Matrix Inequalities
论文作者
论文摘要
本文合成了一个增益式控制器，以稳定与测量的输入/状态数据记录一致的所有可能的线性参数变化（LPV）植物。受到数据信息和LTI稳定的先前工作的启发，开发了一组二次基质不等式，以表示噪声集，一致的LPV植物类别以及可稳定植物的类别。通过参数集的顶点枚举避免了未知植物和“所有”参数之间的双线性。该方法的有效性和计算障碍性在示例系统上证明。
This paper synthesizes a gain-scheduled controller to stabilize all possible Linear Parameter-Varying (LPV) plants that are consistent with measured input/state data records. Inspired by prior work in data informativity and LTI stabilization, a set of Quadratic Matrix Inequalities is developed to represent the noise set, the class of consistent LPV plants, and the class of stabilizable plants. The bilinearity between unknown plants and `for all' parameters is avoided by vertex enumeration of the parameter set. Effectiveness and computational tractability of this method is demonstrated on example systems.
