IEEE ICCA 2018 Keynote Speech 3 : Network Stability and Control: A Small-Gain Paradigm
Zhong‐Ping Jiang · 2018
In this talk, I will provide a historical survey of the small-gain theory for stability and control of interconnected systems. Recent developments in cyclic-small-gain theorems will be reviewed and applied to answer the first fundamental question: When is a dynamical network comprised of more than two sub- systems stable? Constructive methods for the generation of Lyapunov functions for dynamical networks will be discussed. Tools such as gain assignment technique will be presented to address the second fundamental question: When can a dynamical network be made stable by feedback? In the end, the talk will end up with applications of small-gain techniques to various classical problems in robust nonlinear control design and to modern control design issues arising from quantized and event-based control of nonlinear systems. Finally, if time permits, I will present our recent work in integrating small-gain theory and adaptive dynamic programming for data-driven adaptive optimal control design.