6 papers
Integral Formulation of QENDy for Robust Nonlinear System Identification
Nikhil Saran, Sushant Pokhriyal, Stefan Klus +2
This manuscript proposes an integral formulation of the newly defined quadratic embedding method for identifying nonlinear systems (QENDy). In the original algorithm, trajectory da…
A Dynamic Mode Decomposition Approach to Parameter Identification
Moad Abudia, Opeyemi Owolabi, Joel A. Rosenfeld +1
This paper presents a data-driven algorithm for simultaneous system identification and parameter estimation in control-affine nonlinear systems. Parameter estimation is achieved by…
Supporting Lemmas for RISE-based Control Methods
Rushikesh Kamalapurkar, Joel A. Rosenfeld, Justin Klotz +2
A class of continuous controllers termed Robust Integral of the Signum of the Error (RISE) have been published over the last decade as a means to yield asymptotic convergence of th…
Control Occupation Kernel Regression for Nonlinear Control-Affine Systems
Moad Abudia, Tejasvi Channagiri, Joel A. Rosenfeld +1
This manuscript presents an algorithm for obtaining an approximation of a nonlinear high order control affine dynamical system. Controlled trajectories of the system are leveraged…
Restricted Liouville Operator for the study of Non-Analytic Dynamics within the Disk
Sushant Pokhriyal, Joel A Rosenfeld
The study of Koopman and Liouville operators over reproducing kernel Hilbert spaces (RKHSs) has been gaining considerable interest over the past decade. In particular, these operat…
On Dynamic Mode Decomposition of Control-affine Systems
Moad Abudia, Joel A. Rosenfeld, Rushikesh Kamalapurkar
This paper builds on the theoretical foundations for dynamic mode decomposition (DMD) of control-affine dynamical systems by leveraging the theory of vector-valued reproducing kern…