H∞ robust control design for optical scanning of the Fourier spectrometer

Considering the characters of the precision scanning and tracking system in spaceborne spectrometer, a H_∞ robust controller design approach was proposed. Firstly, establish the mathematical model of optical scanning system. On this basis, in order to achieve the requirements of the control performance and robustness, use H_∞ mixed sensitivity design method and elaborate the choice basis and the determine process of the weighted function in H_∞ robust controller design. At the same time, by using MATLAB robust control tool box, H_∞ optimum controller was obtained. Considering the influence of vibration of the satellite platform, establish the interference source model and simulate the influence of external disturbance. The simulation results show that the design of the robust optimal controller has good tracking character as well as good robustness to external disturbance, which achieving the performance requirements of high signal-to-noise ratio, high spectral resolution.