Gain Scheduling Output Feedback Control Based on H∞ Performance Preserved Interpolation
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摘要: 针对线性变参数系统,基于保H∞性能插值设计一种无需变参数变化率反馈的变增益 输出反馈控制器.在将控制器设计转化为关于参数矩阵的LMI问题后,基于"H∞性能覆盖"的 概念给出了划分变参数集的充分条件,并将变参数集划分为若干充分小的子集,对各子集寻找 满足要求的常数矩阵并利用插值来得到所要求的连续参数矩阵.此控制器消除了变参数变化率 反馈并通过对变参数变化率上界的限制降低了控制器设计的保守性.实验结果验证了其有效性.Abstract: A gain scheduling output feedback controller without parameter-rate feedback is designed based on H∞ performance preserved interpolation. After the controller design is translated into parameterized linear matrix inequalities about parameter matrixes, a sufficient condition is given to partition the parameter set based on H∞ performance covering. The parameter set is parted into some subsets. After the constant matrixes are found for every subset, the continuous parameter matrixes are obtained using interpolation. The parameter-rate feedback is eliminated and the conservation of the designed controller is reduced via limiting the bound of the parameter-rate. Experiment results prove the effectiveness of the designed controller.
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