Current efforts to create smart, autonomous, energy efficient and sustainable systems, integrated on a large-scale through physical and virtual interconnections, have motivated research trends in cyber-physical systems, smart grids, building systems, multi-agent and bio-inspired systems. Two phenomena ubiquitously present is these research areas are nonlinear behavior of systems and uncertainty. Understanding the role played by nonlinear dynamics and uncertainty parameters is crucial for a reliable analysis and robust design of modern systems. Another important feature of modern systems is the interconnection of low-dimensional systems over a network to create large-scale systems and the impact of structural connectivity on network robustness and reliability. In this talk, I will present my work on understanding fundamental limitations on control, that arise as a result of the interactions between nonlinear dynamics and uncertainty. An interesting interpretation of these limitations is provided by relating system entropy to dynamical characteristics. In networked nonlinear dynamical systems, the interplay of nonlinear dynamics, uncertainty and network connectivity brings forth some interesting tradeoffs between system dynamics, uncertainty characteristics and network parameters. These results provide analytical tools for understanding uncertain nonlinear dynamical systems. Application of a similar analytical framework based on systems theory and stochastic analysis for analyzing cyber-physical systems criticality, sensor and actuator placement, detection and mitigation of cyber attacks will be discussed.
Dr. Diwadkar received his Bachelors in Aerospace Engineering from I.I.T. Bombay in 2006, and his Ph.D. in Electrical Engineering from Iowa State University in 2012. He then worked as a research consultant with VSI Aerospace Inc., an aerospace research company, in 2013. From 2014 to Spring 2015 he was a Post-doctoral Researcher with the Electrical Engineering Department at Iowa State University. His research interests include stochastic control of large-scale network systems, operator theoretic methods for nonlinear dynamical systems, multi-agent networks, building systems and environment control, energy systems, cyber-physical systems and smart grids.