@inproceedings{62e1a827f0ae4d1fb0a08ae705c41867,
title = "Bode-like integral for stochastic switched systems in the presence of limited information",
abstract = "In this paper, we establish a Bode sensitivity integral formula for a class of feedback closed-loop systems with stochastic switched plants and controllers. Using information theory, we study the information conservation law, based on which a log integral theorem is obtained for the closed loops of interest. Furthermore we develop several algebraic conditions to explicitly capture the performance limitations. Application of this theoretical framework to Networked Control Systems (NCS) is used as an illustrative example.",
author = "Dapeng Li and Naira Hovakimyan",
note = "Funding Information: This paper has developed a Bode integral formula for stochastic switched closed loops, to capture their closed loop performance. Information theory has been employed as a tool to obtain a relationship among different system variables, which has in turn resulted in a Bode integral for stationary cases. Various algebraic conditions have been proposed to capture tight performance bounds. An example of applying this theoretic framework to the field of NCS illustrates the usefulness of this fundamental result. Dapeng Li is a Senior Research Scientist at United Technologies Research Center at East Hartford, CT. He received his B.S. and M.S. degrees in Automatic Control from University of Science and Technology of China. He got his Ph.D. in Mechanical Engineering in 2011 from University of Illinois at Urbana-Champaign. His research interests include the theory of robust adaptive control, information/control theory and control applications in HVAC and aerospace systems. Naira Hovakimyan received her M.S. degree in Theoretical Mechanics and Applied Mathematics in 1988 from Yerevan State University in Armenia. She got her Ph.D. in Physics and Mathematics in 1992, in Moscow, from the Institute of Applied Mathematics of Russian Academy of Sciences, majoring in optimal control and differential games. In 1997 she has been awarded a governmental postdoctoral scholarship to work in INRIA, France. In 1998 she was invited to the School of Aerospace Engineering of Georgia Tech, where she worked as a research faculty member until 2003. In 2003 she joined the Department of Aerospace and Ocean Engineering of Virginia Tech, and in 2008 she moved to University of Illinois at Urbana-Champaign, where she is a professor, university scholar and Schaller faculty scholar of Mechanical Science and Engineering. She has co-authored a book and more than 250 refereed publications. She is the recipient of the SICE International scholarship for the best paper of a young investigator in the VII ISDG Symposium (Japan, 1996), and also the 2011 recipient of AIAA Mechanics and Control of Flight award. She is an associate fellow and life member of AIAA, a Senior Member of IEEE, and a member of SIAM, AMS and ISDG. Her research interests are in the theory of robust adaptive control and estimation, control in the presence of limited information, networks of autonomous systems, game theory and applications of those in safety-critical systems of aerospace, mechanical, electrical, petroleum and biomedical engineering. ",
year = "2011",
doi = "10.1109/acc.2011.5991489",
language = "English (US)",
isbn = "9781457700804",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2843--2848",
booktitle = "Proceedings of the 2011 American Control Conference, ACC 2011",
address = "United States",
}