Controlling Uncertain Nonlinear Dynamics via Lyapunov Control Methodology

Runhan Sun, University of Florida

Abstract The University of Florida Nonlinear Controls and Robotics laboratory is focused on research regarding the design and analysis of controllers for nonlinear uncertain dynamical systems. Our group philosophy is that improved performance and new enabling technologies may be realized by maintaining the complete nonlinear model of the system in the control design. This approach gives rise to significant challenges since nonlinear equations typically do not have an analytical solution, and the system model may be incomplete/uncertain due to difficulties in measuring certain states or modeling certain phenomena. To address these challenges our research is focused on the development and application of nonlinear (Lyapunov-based) design and analysis methods which incorporate the full nonlinear system dynamics in the design and analysis without requiring the solution of the nonlinear differential equations. This presentation will give an overview of how such tools have been developed for a variety of different applications.