基于Homotopy算法发动机固定阶鲁棒控制

Fixed-order robust control for a engine based on Homotopy algorithm

关键词:  航空发动机  鲁棒控制  Homotopy算法+  仿真试验

Key words:  Aircraft engine  Robust control  Homotopy algorithm~+  Simulated test

摘要:

针对某型涡扇发动机,分析了H∞,H∞ /H2 和μ控制存在的不足,提出了一种基于Homotopy算法发动机固定阶控制设计方法。采用规范形式控制器结构进行固定阶H∞ /H2 控制器设计,推导出了固定阶H∞ /H2 控制器存在的必要条件,使用Homotopy算法获得最优固定阶H∞ /H2 控制器的解。提出了将固定阶H∞ /H2 控制器与混合μ综合相结合获得固定阶混合μ控制器的策略。与全阶混合μ控制器不同,固定阶混合μ控制器具有结构简单,易于实现,而其鲁棒性能和鲁棒稳定性与全阶μ控制器相近。使用该方法对某型涡扇发动机控制系统进行固定阶混合μ控制器设计,仿真验证表明,该控制系统其性能鲁棒性满足要求。

Abstract:

Focus on a turbo-engine,the significant shortcomings of H_∞,H_∞/H₂ and μ control is given. A new design method of fixed order mixed μ controller for turbofan engine is presented. Fixed order H_∞/H₂ controller is designed by use of a canonical controller construction form. Existent necessary conditions for an optimal fixed order H_∞/H₂ controller are derived. A homotopy algorithm is used to obtain the solution of an optimal fixed order H_∞/H₂ controller. A different control strategy of obtaining fixed order mixed μ controller is proposed that fixed order H_∞/H₂ controller incorporated into a mixed μ synthesis procedure. Comparison with a full order design,fixed order mixed μ controller reduce controller complexity and achieve robust performance levels similar to full order designs. The approach proposed is applied to turbo-engine fixed-order mixed μ controller design. The simulation results show that the robustness of controlled system performance is satisfied.