LMI-based H2/H&#8734; terminal proximity guidance algorithm for autonomous rendezvous and docking

Weiyue Chen; Wuxing Jing

doi:10.1117/12.775067

10 November 2007 LMI-based H2/H_∞ terminal proximity guidance algorithm for autonomous rendezvous and docking

Weiyue Chen, Wuxing Jing

Proceedings Volume 6795, Second International Conference on Space Information Technology; 679556 (2007) https://doi.org/10.1117/12.775067
Event: Second International Conference on Spatial Information Technology, 2007, Wuhan, China

Abstract

In the terminal proximity stage of autonomous rendezvous and docking, H₂ and H_∞ and guidance algorithms are adopted to overcome the influence on relative guidance accuracy of the following terms, the uncertainty of the system model, the noise of the relative information measurements and thrust misalignment. First of all, a widely used glide slope scheme is introduced to plan the ideal terminal proximity trajectory. Using this assumption the ideal relative position and velocity can be determined beforehand. And then, the tracking error equations for V-bar approach are derived. So the guidance problem is transformed to synthesize a controller to eliminate the tracking error to zero. Modern control methods are applied to design the H₂ / H_∞ controller. The LMI (linear matrix inequalities) technology is adopted here to get the final solution for controllers. Simulation based on the solution obtained though MATLAB^RLMI toolbox is performed on a scenario of the rendezvous and docking final proximity stage. The simulation results verify the validity and superiority of the H_∞ design method for the terminal proximity of autonomous rendezvous and docking.

Citation Download Citation

Weiyue Chen and Wuxing Jing "LMI-based H2/H_∞ terminal proximity guidance algorithm for autonomous rendezvous and docking", Proc. SPIE 6795, Second International Conference on Space Information Technology, 679556 (10 November 2007); https://doi.org/10.1117/12.775067

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