A Characterization of All Passivizing Input-Output Transformations of a Passive-Short System
Room: 202, Bldg: ECE, 141 Warren St, New Jersey Institute of Technology, Newark, New Jersey, United States, 07103Passivity theory is one of the cornerstones of control theory providing a systematic way to study the stability of interconnected systems. In practice, many systems are not passive, and must be passivized in order to be included in the framework of passivity theory. Input-output (loop) transformations are the most general tool for passivizing systems. In this paper, we propose a characterization of all possible input-output transformations that map a system with given shortage of passivity to a system with prescribed excess of passivity. We do so by using the connection between passivity theory and cones for SISO systems, and using the S-lemma for MIMO systems. We also present several possible applications of our results, including simultaneous passivation of multiple systems or with respect to multiple equilibria, as well as optimization problems such as $\mathcal{L}_2$-gain minimization. Speaker(s): Daniel Zelazo Agenda: - Talk by Daniel Zelazo at 11:00 am - Lunch box after the talk at 12:00 pm - You don't have to be an IEEE member to attend this meeting. Room: 202, Bldg: ECE, 141 Warren St, New Jersey Institute of Technology, Newark, New Jersey, United States, 07103