Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems
This paper presents the general theory of the dyadic perturbation observer framework as a generic method for controlling a class of nonlinear systems described by partial and/or ordinary differential equations. The method is particularly applicable to boundary control problems for systems described by partial differential equations. Conditions for closed-loop stability and robustness are derived using finite-gain L stability theory, and the results are further specialized for finite dimensional systems.
© 2014 IEEE. Date Added to IEEE Xplore: 12 February 2015. This research was supported by NSF (IIS-1253758) and ARO (W911NF-10-1-0296). We gratefully acknowledge the inspiration and the encouragement from Prof. Miroslav Krstic. We thank the anonymous reviewers for the meticulous and thorough comments which helped improve the paper to its current form.