This paper proposes improved methods for remotely operating orbital structures comprising connected flexible plates using real-time estimation. First, a hinge-connected plate model is introduced and a method of conducting estimation of dynamic behavior for operational spacecraft is defined. Then, a model-reduction method, which can be applied to targets with large-deformation behavior, is discussed. The proposed method is compared with the conventional one in terms of calculation cost and approximate accuracy. Next, an online parameter-identification method, that deals with the amplitude dependence of orbital flexible structures, is explained. A random decrement method is introduced to extract the natural vibration from the time history under the assumption of a random or environmental noise force. Using the extracted history, dynamic parameters are identified using an eigen system realization algorithm. Finally, these improved methods are introduced to the estimation system and a verification experiment is conducted using a ground experiment set that is representative of an extendable plate structure.