Output Feedback Control of Flexible Space Structure

This paper studies the robust stabilization of flexible space structure.Basing on the collocated sensors and actuators and the symmetry property of the structure parameters,we used the LaSalle's theorem to design an output feedback controller.The controller uses only measured position output.Moreover,it does not use any physical parameters of the structure(such as the damp ratios and the modal frequencies) or the order of the modals.Hence the controller is quite robust to parameter uncertainties and unmodeled dynamics,and it is suitable for engineering application.At the same time,when there are pairs of collocated sensors and actuators,decentralized controller can be designed correspondingly.Finally,numerical simulation verifies the effectiveness of the proposed controller.