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COMPUTATIONALLY EFFICIENT NONLINEAR H{sub}∞ CONTROL DESIGNS FOR A RIGID BODY SPACECRAFT

机译:计算上高效的非线性H {SUB} rig刚体航天器的控制设计

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In this paper, we consider nonlinear control of a symmetric spacecraft about its axis of symmetry with two control torques. Using a computationally efficient H{sub}∞ control design procedure, attitude regulation and trajectory tracking problems of the axi-symmetric spacecraft were solved. Resorting to higher order Lyapunov functions, the employed nonlinear H{sub}∞ control approach reformulates the difficult Hamilton-Jacobian-Isaacs (HJI) inequalities as semi-definite optimization conditions. Sum-of-squares (SOS) programming techniques are then applied to obtain computationally tractable solutions, from which nonlinear control laws will be constructed. The proposed nonlinear H{sub}∞ designs will be able to exploit the most suitable forms of Lyapunov function for spacecraft control and the resulting controllers will perform better than existing nonlinear control laws.
机译:在本文中,我们考虑与两个控制扭矩的对称轴对称航天器的非线性控制。使用计算上高效的H {子}∞控制设计过程,解决了AXI-Commetric SpaceCraft的姿态调节和轨迹跟踪问题。借助高阶Lyapunov功能,所用的非线性H {Sub}控制方法将困难的Hamilton-jacobian-Isaacs(HJI)的不等式重新加以为半定优化条件。然后应用方块(SOS)编程技术以获得计算易解的解决方案,从而构建非线性控制法。所提出的非线性H {Sub}∞设计将能够利用最合适的Lyapunov功能,用于航天器控制,并且所产生的控制器将比现有的非线性控制法更好。

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