Modeling and Robust Control of a Flexible Solar Array Paddle as Clamped-Clamped-Free-Free Rectangular Plates
Department of Computational Intelligence and Systems Science, Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, 4259, Nagatsuda Midori-ku, Yokohama, 226 Japan
In this paper, modeling and robust control of a large solar array paddle, which is mounted on satellites and space stations, are discussed. We regard the solar array paddles as two clamped-clamped-free-free rectangular flexible plates. We consider the flexible plates which are in zero gravity field and are rotated about two axes of each plate by two motors, respectively. We derive partial differential equations and boundary conditions which represent the vibrations of the flexible plates and ordinary differential equations which represent the dynamics of angles of rotation of motors. Solving the related eigenvalue problem, the eigenvalues and the corresponding eigenfunctions are obtained. On the basis of a finite-dimensional modal model of the distributed-parameter system, an optimal controller with low-pass property and a robust controller using H∞ control theory for the flexible plates are constructed. Simulation results are shown.