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.