This paper presents the initial study on the dynamic shape control problem of deployable mesh reflectors via feedback. To compensate the thermal distortion and reject force disturbance, the system is considered quasi-static to the temperature variation. After segmenting the orbital temperature range into narrow sections, the robust state feedback controller is proposed in each section and the controllers are properly switched between sections during the entire cycle using a supervisory controller. The control method is then implemented on a sampled deployable mesh reflector and the time-response shows much higher surface accuracy the reflector maintains during the orbiting mission comparing to the open-loop configuration.

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