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论文:2019,Vol:37,Issue(2):211-217 |
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引用本文： |
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马晓川, 闫杰, 符文星, 陈康. 满足增益相位裕度的自动驾驶仪结构化H∞综合[J]. 西北工业大学学报 |
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MA Xiaochuan, YAN Jie, FU Wenxing, CHEN Kang. Autopilot Structured H∞ Synthesis for Satisfying Gain and Phase Margin Constraints[J]. Northwestern polytechnical university |
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| 满足增益相位裕度的自动驾驶仪结构化H∞综合 |
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| 马晓川, 闫杰, 符文星, 陈康 |
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| 西北工业大学 航天学院, 陕西 西安 710072 |
| 摘要: |
| 针对具有静不稳定特性的高超声速飞行器，提出了一种同时满足增益裕度和相位裕度要求的飞行器自动驾驶仪设计方法。在预先设定自动驾驶仪结构的前提下，建立满足系统增益和相位裕度的H∞范数性能指标，使用结构化H∞综合方法求解使性能指标H∞范数指标最优的自动驾驶仪参数。控制系统稳定裕度由标称系统增益放大补灵敏度传递函数的H∞范数约束。这种约束方法把对系统的稳定裕度约束转化为复平面上开环系统Nyquist曲线到满足系统稳定裕度圆盘边界的距离约束。求解控制器参数时，在控制器设计指标中引入调节参数，通过调节参数的迭代变化，改变开环系统Nyquist曲线与稳定裕度圆盘边界的距离，减小控制器的保守性。这种自动驾驶仪的设计方法可同时适用于静稳定系统和静不稳定系统。将此方法应用在高超声速飞行器过载跟踪自动驾驶仪的设计中，仿真结果表明，自动驾驶仪具有良好的动态和稳态性能，并且控制器满足期望的稳定裕度。 |
| 关键词:
H∞综合
自动驾驶仪
幅值裕度
相位裕度
过载跟踪控制
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| Autopilot Structured H∞ Synthesis for Satisfying Gain and Phase Margin Constraints |
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| MA Xiaochuan, YAN Jie, FU Wenxing, CHEN Kang |
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| School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Aiming at the static unstable Hypersonic vehicle, a method for designing H∞ autopilot to satisfy gain margin and phase margin is proposed. Structured H∞ synthesis is used to synthesize the autopilot under the fixed structure. The gain margin and phase margin were constrained by using H∞ norm of the complementary of the scaled plant. The requirement for the gain margin and phase margin is represented by the distance between the open loop Nyquist curve and the circle that represents the gain margin and phase margin in the complex plane. The distance is adjusted by tuning the parameter of performance specifications automatically to reduce the conservatism of the controller. The present method is applicable to both static stable vehicle and static unstable vehicle, and a three loops acceleration tracking autopilot is design. The numerical simulations have demonstrated that the autopilot satisfys the performance specifications, gain margin and phase margin simultaneously. |
| Key words:
structured H∞ synthesis
autopilot
gain margin
phase margin
acceleration tracking
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| 收稿日期: 2018-04-17
修回日期:
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| DOI: 10.1051/jnwpu/20193720211 |
| 基金项目: 国家自然基金（61503302）资助 |
| 通讯作者:
Email： |
| 作者简介: 马晓川(1986-),西北工业大学博士研究生,主要从事高超声速飞行器控制系统研究。
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| 相关功能 |
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| 作者相关文章 |
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| 马晓川 在本刊中的所有文章 |
| 闫杰 在本刊中的所有文章 |
| 符文星 在本刊中的所有文章 |
| 陈康 在本刊中的所有文章 |
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