Integrated approach to modeling and control of flexible structures via ℓ∞ loopshaping
An integrated approach is proposed to modeling and control of lightly damped systems such as flexible structures using frequency loopshaping in ℓ∞. Normalized coprime factors of the shaped plant model are identified with quantification of the modeling error in ℓ∞ norm. Feedback controllers are synthesized to stabilize the true but unknown plant albeit the nominal feedback system, consisting of the identified model and the feedback controller, may not be stable. A complete design procedure is presented that integrates modeling and control in frequency domain. It is shown that as the ℓ∞ norm of the modeling error measured in normalized coprime factors of the system is reduced, the existence of stabilizing feedback controllers for the true unknown plant is ensured.
Publication Source (Journal or Book title)
Proceedings of the IEEE Conference on Decision and Control
Gu, G., Song, H., & Zhou, K. (1997). Integrated approach to modeling and control of flexible structures via ℓ∞ loopshaping. Proceedings of the IEEE Conference on Decision and Control, 1, 846-851. Retrieved from https://repository.lsu.edu/eecs_pubs/353