论文信息 - Optimal quasi-static shape control for large aerospace antennae

Optimal quasi-static shape control for large aerospace antennae

In this paper, we propose an on-line control approach which will adjust the steady-state shape of a large antenna arbitrarily close to any achievable desired profile. The method makes use of distributed parameter system theory and allows refocusing using a limited number of control actuators and sensors.The controller gains are calculated by approximating the solution to an infinite-dimensional optimal quasi-static control problem. We prove a very general convergence result for such quasi-static controllers here and apply it to the antenna controller to show convergence using any Galerkin (finite-element) approximation method.

M. J. Balas | M. Balas

[1] C. Weeks. Static shape determination and control for a large space antenna , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[2] Mark J. Balas,et al. Trends in large space structure control theory: Fondest hopes, wildest dreams , 1982 .

[3] Tosio Kato. Perturbation theory for linear operators , 1966 .

[4] Mark Balas,et al. The spatial order reduction problem and its effect on adaptive control of distributed parameter systems , 1982, 1982 21st IEEE Conference on Decision and Control.

[5] G. Strang,et al. An Analysis of the Finite Element Method , 1974 .

[6] Mark J. Balas. Parameter Estimation and Control of Distributed Systems with Application to Large Deployable Antennae , 1982, 1982 American Control Conference.