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航空发动机固定阶混合μ控制器设计方法的研究 被引量:1

On Designing Fixed-Order Mixed μ Robust Controller for Turbofan Engine
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摘要 提出了将固定阶 H∞ 控制器与混合μ综合相结合获得航空发动机固定阶混合μ控制器的策略。推导出了固定阶 H∞ 控制器存在的必要条件 ,使用 homotopy算法获得最优固定阶 H∞ 控制器的解。采用将固定阶 H∞ 控制器与 D- K迭代相结合设计航空发动机固定阶混合控制器的方法。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 。 After much research and discussion, we gradually came to forming the idea that a better controller--fixed-order mixed μ controller--can be designed for turbofan engines. One important factor for forming such an idea is that we, after much research, could prove the necessary existence conditions for an optimal fixed-order H ∞ controller; we give proof of these necessary existence condition in this paper. We use homotopy algorithm for obtaining easily the solution of an optimal fixed order H ∞ controller. In this paper we propose and explain in much detail a new control strategy of obtaining fixed order mixed μ controller by incorporating fixed-order H ∞ controller into a mixed μ synthesis procedure. Compared with a full-order design, which brings several well-known disadvantages, our design of fixed-order mixed μ controller reduces controller complexity and achieves nearly the same robust performance levels. We applied our approach to the actual design of a fixed-order mixed μ controller for turbofan engine; simulation results show preliminarily that this actual design satisfies requirements on robust performance of controlled system.
出处 《西北工业大学学报》 EI CAS CSCD 北大核心 2004年第6期769-773,共5页 Journal of Northwestern Polytechnical University
关键词 固定阶混合μ控制器 固定阶H∞控制器 homotopy算法 航空发动机 turbofan engine, fixed-order controller H ∞, homotopy algorithm, fixed-order mixed μ controller
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参考文献5

  • 1Nordgren R E, Gastineau Z, Adibbaia S. Robust Multivariable Turbofan Engine Control--A Case Study. Proceedings of the 33rd Conference on Decision and Control, 1994
  • 2Balas G J, Ryan J. A New Technique for Design of Controllers for Turbofan Engine. AIAA-98-3751
  • 3Sweriduk G D, Calise A J. Robust Fixed Order Dynamic Compensation: A Differential Game Approach. Proceedings of the 1993 IEEE Conference on Aerospace Control Systems,West Lake Village, CA, 1995
  • 4Kramer F S, Calise A J. Fixed-Order Dynamic Compensation for Multivariable Linear Systems. Journal of Guidance Control and Dynamics, 1998, 11(1):80-85
  • 5Waston M Sosonkina, Morgan R C. Algoritm 777: HOMPACK90:A Suit of FORTRAN 90 Codes for Globally Convergent Homotopy-Algorithm. ACM Trans Math Software, 23(1997), 514-558

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