Constructive Feedback Control Design for Hybrid Systems

Speaker: Ricardo G. Sanfelice
Affiliation: University of California, Santa Cruz

Abstract: A mathematical framework to model hybrid dynamical systems with inputs and outputs will be presented. Motivated by control design challenges in robotics, power system applications, networked systems, and other cyber-physical systems, tools for the design of feedback controllers will be introduced. The focus will be on tools guaranteeing asymptotic stability of the hybrid closed-loop system with robustness to a general class of perturbations. In particular, relaxed Lyapunov sufficient conditions for stability and attractivity, as well as control Lyapunov functions (CLFs) for the design of feedback laws will be presented. It will be shown that the proposed CLF-based feedback law provides an estimate of the upper value function of the zero-sum hybrid dynamical game, where one player assigns the control and another the disturbance. The tools will be exercised in applications.

Biography: Ricardo G. Sanfelice is an Associate Professor at the Department of Computer Engineering, University of California, Santa Cruz. He received his M.S. and Ph.D. degrees from UCSB in 2004 and 2007, respectively. He held a Postdoctoral Associate position at MIT during 2007 and 2008. Professor Sanfelice is the recipient of the 2013 SIAM Control and Systems Theory Prize, the NSF CAREER award, the Air Force Young Investigator Research Award (YIP), the 2010 IEEE Control Systems Magazine Outstanding Paper Award, and the 2012 STAR Higher Education Award for his contributions to STEM education. He is currently an Associate Editor for Automatica and chairing the IEEE Technical Committee on Hybrid Systems. His research interests are in modeling, stability, robust control, observer design, and simulation of nonlinear and hybrid systems with applications to robotics, power systems, aerospace, and biology.

 

For more information, contact Prof. Paulo Tabuada ()

Date/Time:
Date(s) - Feb 02, 2016
12:00 pm - 1:30 pm

Location:
E-IV Maxwell Room #57-124
420 Westwood Plaza - 5th Flr. , Los Angeles CA 90095