基于二自由度<i>H</i><sub>∞</sub>的变循环发动机全包线控制设计

董韫慧; 郭迎清; 徐柯杰

doi:10.13224/j.cnki.jasp.20240693

基于二自由度H_∞的变循环发动机全包线控制设计

doi: 10.13224/j.cnki.jasp.20240693

西北工业大学动力与能源学院，西安 710072

基金项目: 国家科技重大专项（J2019V-0003）

详细信息

作者简介:
董韫慧（2000-），女，硕士，主要从事航空发动机多变量控制研究。E-mail：15309274057@163.com

中图分类号: V233.7
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出版历程
- 收稿日期: 2024-10-11
- 网络出版日期: 2025-07-06

Design of full envelop controller for variable cycle engine based on two-degree-of-freedom H_∞ control

School of Power and Energy，Northwestern Polytechnical University，Xi’an 710072，China

摘要

摘要:
将H_∞鲁棒稳定性理论与经典回路成形理论结合起来，设计二自由度H_∞控制器，同时兼顾了系统的控制性能和鲁棒性要求；为简化控制系统，将内环控制器降为7阶，外环控制器降为4阶；针对全包线大范围跟踪控制问题，在飞行包线内选择18个设计点，并针对不同工作模态和功率水平分别设计控制器，构建增益调度表；选取不同飞行条件进行仿真，由仿真结果可知稳态误差均为0，调节时间均小于2.5 s，验证了全包线H_∞控制器的良好控制性能；最后搭建硬件在环仿真平台对二自由度H_∞控制算法进行验证，结果表明控制算法能够在2 ms内完成计算，且发动机的输出能够快速准确地跟踪参考指令，验证了该算法在硬件环境下的实时性和有效性。
- 变循环发动机 /
- H_∞鲁棒控制 /
- 跟踪控制 /
- 全包线 /
- 硬件在环仿真
Abstract:
The H_∞ robust stability theory was combined with the classical loop shaping theory to design a two-degree-of-freedom H_∞ controller while taking into account both the control performance and robustness requirements of the system; to simplify the control system, the inner-loop controller was reduced to the seventh order, and the outer-loop controller was reduced to the fourth order; for the full envelope wide-range tracking control problem, 18 design points were selected within the flight envelope, the controllers were designed for different operating modes and power levels, and the gain scheduling table was constructed; different flight conditions were selected for simulation, and the simulation results showed that the steady state error was 0 and the settling time was less than 2.5 s, which verified the good control performance of the full envelope H_∞ controller; finally, the hardware-in-the-loop simulation platform was built to verify the two-degree-of-freedom H_∞ control algorithm. The results showed that the control algorithm can complete the calculation within 2 ms, and the engine output can track the reference instruction quickly and accurately, verifying the real-time and effectiveness of the algorithm in the hardware environment.
- variable cycle engine /
- H_∞ robust control /
- tracking control /
- full envelope /
- hardware-in-the-loop simulation

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图 1 开环回路成形

Figure 1. Open-loop shaping

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图 2 鲁棒镇定过程

Figure 2. Robust stabilization process

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图 3 单自由度控制器

Figure 3. Single-degree-of-freedom controller

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图 4 二自由度回路成形控制系统

Figure 4. Two-degree-of-freedom loop shaping control system

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图 5 飞行包线设计点位置分布图

Figure 5. Flight envelope design point location diagram

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图 6 开环回路奇异值曲线

Figure 6. Open loop singular value curves

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图 7 控制器$ {{\boldsymbol{K}}_{1{\mathrm{D}}}} （s） $阶数的影响

Figure 7. Influence of controller $ {{\boldsymbol{K}}_{1{\mathrm{D}}}} （s） $ orders

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图 8 控制器$ {{\boldsymbol{K}}_{2{\mathrm{D}}}} （s） $阶数的影响

Figure 8. Influence of controller $ {{\boldsymbol{K}}_{2{\mathrm{D}}}} （s） $ orders

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图 9 扰动抑制仿真结果

Figure 9. Simulation results of disturbance suppression

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图 10 指令跟踪仿真结果

Figure 10. Command tracking simulation results

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图 11 鲁棒性分析

Figure 11. Robustness analysis

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图 12 发动机在不同工作条件下大范围阶跃跟踪控制仿真结果

Figure 12. Simulation results of large-scale step tracking control of the engine under different operating conditions

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图 13 硬件在回路仿真平台结构

Figure 13. Hardware-in-the-loop simulation platform architecture

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图 14 硬件在环仿真结果

Figure 14. Hardware-in-the-loop simulation results

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