Global stabilization of periodic linear systems by bounded controls with applications to spacecraft magnetic attitude control
Global stabilization of periodic linear systems by bounded controls with applications to spacecraft magnetic attitude control
复制标题
有界控制的周期性线性系统的全局稳定及其在航天器磁姿态控制中的应用
DOI：
10.1016/j.automatica.2015.07.003
复制
发表时间：
2015-10
期刊：
影响因子：
6.4
通讯作者：
Zhou, Bin
中科院分区：
文献类型：
--
作者：
Zhou, Bin;Zhou, Bin
本文研究了考虑执行器饱和的小型航天器三轴磁控姿态控制问题。考虑到线性化后的系统是一个中性稳定的线性周期系统，利用状态反馈和基于观测器的输出反馈，建立了具有有界反馈的线性周期系统全局镇定的一般问题。利用与开环系统相关的一些Lyapunov微分方程解建立了显式饱和线性反馈控制律，并通过构造显式Lyapunov函数证明了闭环系统的全局稳定性。将理论结果应用于三轴磁控系统，建立了保证线性化开环系统中性稳定的充要条件，得到了相应的Lyapunov方程的显式解。在此基础上，给出了三轴磁控系统控制器的闭合形式。仿真结果表明了该方法的有效性。
We study in this paper the three-axis magnetic attitude control of small spacecraft by considering the actuator saturation. By noticing that the linearized dynamics is a neutrally stable linear periodic system, a general problem of global stabilization of linear periodic systems with bounded feedback is formulated and solved by both state feedback and observer based output feedback. Explicit saturated linear feedback control laws are established by using solutions to some Lyapunov differential equations associated with the open-loop systems and global stability of the closed-loop system is proved by constructing an explicit Lyapunov function. To apply the theoretical results on the three-axis magnetic attitude control systems, necessary and sufficient conditions are established to guarantee that the linearized open-loop system is neutrally stable and explicit solutions to the associated Lyapunov equations are obtained consequently. The controllers for the three-axis magnetic attitude control systems are then given in closed-form. Simulations show the effectiveness of the proposed approach.
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参数周期李亚普诺夫方程及其在执行器饱和离散时间周期系统半全局稳定中的应用
影响因子：
6.4
作者：
Zhou, Bin;Duan, Guang-Ren;Lin, Zongli
通讯作者：
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影响因子：
2.6
作者：
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影响因子：
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作者：
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通讯作者：
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DOI：
10.1109/87.974341
发表时间：
2002-08
期刊：
IEEE Trans. Control. Syst. Technol.
影响因子：
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作者：
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通讯作者：
M. Lovera;E. D. Marchi;S. Bittanti
影响因子：
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