| 摘要: |
| 介绍了两类新型控制系统稳定性定量测度：奇异摄动裕度和广义增益裕度。这两类稳定裕度是相位裕度和增益裕度在非线性时变系统中的推广，能在使用于非线性系统时反映出与系统多种非线性性质的具体关系，是适用于非线性时变系统稳定性量化的评估标准。将奇异摄动裕度应用于高超声速飞行器模型，估计了滚转角快变条件下控制环的允许滞后时间，并对相关开放性问题进行了展望。该裕度有潜力用于进一步揭示飞行器制导精度和姿态控制动态特性之间的关联机理，为总体设计、姿态控制和气动布局的协调提供参考依据。 |
| 关键词: 非线性系统 时变系统 奇异摄动裕度 广义增益裕度 稳定性定量分析 |
| DOI： |
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| 基金项目: |
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| New Stability Margin Analysis Methods for Nonlinear Time-varying Control Systems |
| YANG Xiaojing |
| (School of Aeronautic Science and Engineering, Beihang University) |
| Abstract: |
| This work introduces two types of stability metrics, Singular Perturbation Margin (SPM) and Generalized Gain Margin (GGM). The SPM and GGM are generalized concepts of Phase Margin(PM) and Gain Margin(GM) for nonlinear time-varying systems from view of singular perturbation and regular perturbation, respectively, i.e. (i) theoretically based, (ii) practically measurable, (iii) backward compatible in the sense that when applied to Linear Time Invariant (LTI) systems. The SPM and GGM are used in the simulation model of a hypersonic vehicle, assess the allowable time delay when the roll angle is fast varying, and conclude with some insightful remarks and suggestions for further research. The SPM and GGM are potential to be further applied to reveal the mechanism between guidance accuracy and dynamic characteristics of attitude control. |
| Key words: Nonlinear system Time-varying system Singular perturbation margin Generalized gain margin Stability margin analysis |