A canonical structure for constrained optimal control problems
We consider a general class of optimal control problems with regional pole and controller structure constraints. Our goal is to show that for a fairly general class of regional pole and controller structure constraints, such constrained optimal control problems can be transformed to a new one with a canonical structure. A three-step transformation procedure is used to achieve our goal, which essentially amounts to repeated augmentations of plant dynamics and repeated reductions of the controller. The transformed problem is one of the standard optimal static output feedback with a decentralized and repeated structure.
Publication Source (Journal or Book title)
International Journal of Robust and Nonlinear Control
Chen, J., Nett, C., Gu, G., & Xiong, D. (1996). A canonical structure for constrained optimal control problems. International Journal of Robust and Nonlinear Control, 6 (7), 727-741. https://doi.org/10.1002/(SICI)1099-1239(199608)6:7<727::AID-RNC190>3.0.CO;2-E