Speaker: Bowen Huang, ECpE Graduate Student
Advisor: Umesh Vaidya
Title: Integrated Data-Driven and Model-Based Approach for Control of Dynamical Systems Using Linear Operator Theory
Abstract: This graduate seminar will emphasize on the application of Koopman operator theory for the identification and design of stabilizing feedback controller for a nonlinear control system. The proposed framework is data-driven and relies on the use of time-series data generated from the control dynamical system for the lifting of a nonlinear system in the Koopman eigenfunction coordinates. In particular, a finite-dimensional bilinear representation of a control-affine nonlinear dynamical system is constructed in the Koopman eigenfunction coordinates using time-series data. A control Lyapunov function-based approach is proposed for the design of stabilizing feedback controller. A systematic convex optimization-based formulation is proposed for the search of control Lyapunov function. Numerical examples, including Duffing oscillator and IEEE 9bus systems, will be presented to demonstrate the application of the proposed data-driven controller design framework.