Abstract: Unfalsified adaptive control refers to controlling an unknown plant adaptively by observing its input output data. The adaptive controller switching algorithms designed within the theoretical framework of unfalsified adaptive control efficiently control a time-invariant plant. But without modifications these algorithms are not suitable for controlling a time-varying plant. This talk will discuss about the modifications required in adaptive switching control for time-varying plant. One of the modifications is the Battistelli-Hespanha-Mosca-Tesi reset mechanism. This novel scheme looks prominent in order to extend the theoretical as well as the practical results of unfalsified adaptive control to time-varying systems. This talk will present the new and improved reset mechanism. The results of the reset mechanism can be further improved by implementing a bumpless transfer method at switching times. Theoretical results required to prove stability of the adaptive switching control system under the hysteresis algorithm with reset mechanism and bunpless transfer will be discussed in the end. Stability is proved given only that the adaptive stabilization problem is feasible. It does not make any assumptions about the plant and controllers.
Sagar Patil received the B.Tech. degree from the College of Engineering Pune, India in 2008 and the M.S. degree from the University of Southern California, Los Angeles, USA in 2011, both in electrical engineering. He is currently doing Ph.D. in control systems at the University of Southern California. His current research interests include unfalsified adaptive control and H-infinity loop shaping control.