Robust fixed-order H∞ controller design for spectral models by convex optimization
Robust fixed-order H∞ controller design for spectral models by convex optimization
复制标题
通过凸优化的谱模型鲁棒定阶 H∞ 控制器设计
DOI：
10.1109/cdc.2008.4739130
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
R. Longchamp
中科院分区：
文献类型：
--
作者：
A. Karimi;Gorka Galdos;R. Longchamp
提出了一种稳健的H∞控制器设计的新方法。 H∞鲁棒性能条件可以通过一组线性或凸约约束相对于奈奎斯特图中的线性参数化控制器的参数通过增加约束的数量，可以在提出的方法中直接考虑不确定性。提出的方法比标准H∞解决方案获得的第七阶不稳定控制器具有更好的H∞性能。
A new approach for robust fixed-order H∞ controller design by convex optimization is proposed. Linear time-invariant single-input single-output systems represented by a finite set of complex values in the frequency domain are considered. It is shown that the H∞ robust performance condition can be approximated by a set of linear or convex constraints with respect to the parameters of a linearly parameterized controller in the Nyquist diagram. Multimodel and frequency-domain uncertainty can be directly considered in the proposed approach by increasing the number of constraints. The proposed method is compared with the standard H∞ control problem. It is shown by an example that for an unstable uncertain model, a PID controller can be designed with the proposed approach which gives better H∞ performance than a 7th order unstable controller obtained by the standard H∞ solution.