基于LFT的鲁棒变增益控制的降保守性设计

Reduction of Conservatismin Robust Gain-Scheduling Control Based on LFT

摘要:

研究了线性变参数系统的鲁棒变增益控制,介绍了基于LFT的鲁棒变增益控制的思想；针对目前基于LFT的鲁棒变增益控制的保守性,采用全块标量矩阵,通过减少对全块标量矩阵的结构约束；提出了一种保守性更小的稳定性判据,并且利用消元定理,给出了基于LFT的鲁棒变增益的输出反馈控制器存在的条件；同时给出了控制器的构建方式,并且给出了求解控制器的迭代LMI算法。仿真结果表明,所提方法能够得到更小的性能指标,比现有方法具有更小的保守性,验证了方法的有效性。

Abstract:

Robust gain-scheduling based on LPV system was studied, and the LFT robust gain-scheduling method was introduced. Due to the conservatism of the current method, a new stability criterion based on full block matrixes which have relaxed the structure restriction was proposed. With the help of elimination lemma, the sufficient condition of the dynamic output controller to robust gain-scheduling based on LFT exist was given, and the algorithm to construct controller based on iterative LMI was given. Finally,the result of simulation showed that the proposed method could give smaller performance index and had less conservative validity, the valid was verified.