Recent progress in communication technologies and their use in feedback control systems motivate to look deeper into the interplay of control and communication in the closed-loop feedback architecture. Among several research directions on this topic, a great deal of attention has been given to the fundamental limitations of feedback control in the presence of communication constraints. Our work considers continuous-time systems in the presence of limited information and quantifies Bode-like performance limitations for this class of systems in terms of mutual information rates. We also provide extension of Bode-like integrals to switched discrete-time systems. The results obtained so far led to new opportunities for optimal estimation over Gaussian channels with noiseless feedback.

 
Selected publications:

  1. Li, D. and Hovakimyan, N., “Bode-like Integral for Continuous-Time Closed-Loop Systems in the Presence of Limited Information,” IEEE Transactions on Automatic Control (in review) [pdf]
  2. Li, D. and Hovakimyan, N., “Bode-Like Integral for Stochastic Switched Systems in the Presence of Limited Information,” Automatica (in review) [pdf]
  3. Li, D. and Hovakimyan, N., “Optimal State Estimation Over Gaussian Channels with Noiseless Feedback,” in IEEE Conference on Decision and Control, Orlando, FL, 2011. [pdf]

 
Contact:

Naira Hovakimyan nhovakim (at) illinois (dot) edu