航空发动机μ控制器设计及降阶方法研究

Research on Aeroengine μ Controller Design and Reduction Method

涡扇发动机的多变量控制是目前的研究热点。为了研究鲁棒镇定发动机的结构化摄动和非结构化摄动对系统稳定性影响,采用结构奇异值理论分析方法,通过设置合理的加权函数,设计性能最优的μ控制器。采用内部平衡截项法、残化法和Hankel-范数近似法等对控制器模型降级处理,通过分析奇异值与范数误差,选取合适的降级方法,以保证降阶后系统能够稳定工作。仿真结果表明,所设计的控制器能够使系统稳定工作,系统能鲁棒镇定结构化摄动和非结构化摄动,且具有良好的控制品质,且控制器降阶后对系统基本没有影响。

Aeroengine multivariable control is the current research focus. In this paper, based on the structure singular value theory, the structural perturbation and unstructured perturbation of aeroengine were analyzed. The optimal μ controller is finally obtained by setting the weighting function reasonably. Afterwards, the controller model is reduced by using internal balance cut-off method, residue method and Hankel-norm approximation method. Select the appropriate downgrade method to ensure that the system can work stably after order-reduced by analyzing singular value and norm error. The simulation results show that the designed controller can make the system work steadily, the system can robustly stabilize structured perturbation and unstructured perturbation, and has good control quality. The controller has no influence on the system after order-reduced.