多体卫星MIMO控制及稳定裕度研究

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针对两输入两输出的多体卫星系统模型,采用并矢展开设计法这一多变量频域设计技术,实现卫星本体俯仰姿态和附件指向的多输入多输出(MIMO)控制,利用Nyquist稳定判据证明系统的稳定性;在此基础上讨论卫星本体姿态控制与附件指向控制带宽的关系,然后利用回差阵奇异值法计算MIMO控制系统的稳定裕度,并分析稳定裕度计算结果的保守性,数值仿真验证了算法的有效性以及稳定裕度分析结果的正确性。 Aiming at the multi-body satellite system model with two inputs and two outputs, the multivariable frequency domain design technique of the design method is used to achieve the satellite body pitch attitude and attachment-oriented multiple-input multiple-output (MIMO) control. The Nyquist stability criterion The stability of the system is proved. Based on this, the relationship between the attitude control of satellite ontology and the control bandwidth of the attachment is discussed. Then the stability margin of the MIMO control system is calculated by using the singular value method of the backstroke matrix, and the conservativeness of the calculation results of the stability margin is analyzed Numerical simulation shows the validity of the algorithm and the correctness of the stability margin analysis.
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