Control Systems Webinar | Delayed and Sampled-Data Control of PDEs
April 23, 2021 - 2:00 pm - 3:00 pm BST
Control Systems Webinar | Delayed and Sampled-Data Control of PDEs by Prof Emilia Fridman
The fifth international e-seminar of 2021 on systems and control theory will be presented by Prof. Emilia Fridman from Tel Aviv University, Israel.
The talk will start with distributed control and estimation of semi-linear 1D heat equations in the presence of input/output delays (which may include sampling in time). It will present sampling in space (or spatial decomposition) method, where the domain is divided into N subdomains with N sensors located in each subdomain, whereas the control is applied through distributed in space shape functions.
Given upper bounds on the delays, sufficient conditions ensuring the stability and performance are established in terms of LMIs via appropriate Lyapunov functionals and Halanay’s inequality. The results will be applied to a network-based deployment of multi-agents. Extensions to N-D heat, Kuramoto-Sivashiskii, damped wave, and other PDEs will be discussed.
For boundary control, delay compensation via sub-predictors will be considered. Finally, recent results on finite-dimensional observer-based control of 1D parabolic PDEs via modal decomposition will be presented.
About the speaker:
Emilia Fridman received the M.Sc. degree from Kuibyshev State University, USSR, in 1981 and the Ph.D. degree from Voronezh State University, USSR, in 1986, all in mathematics.
From 1986 to 1992, she was an Assistant and Associate Professor in the Department of Mathematics at Kuibyshev Institute of Railway Engineers, USSR. Since 1993 she has been at Tel Aviv University, where she’s currently a professor of Electrical Engineering-Systems. She has held visiting positions at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin (Germany), INRIA in Rocquencourt (France), Ecole Centrale de Lille (France), Valenciennes University (France), Leicester University (UK), Kent University (UK), CINVESTAV (Mexico), Zhejiang University (China), St. Petersburg IPM (Russia), Melbourne University (Australia), Supelec (France), KTH (Sweden).
Her research interests include time-delay systems, networked control systems, distributed parameter systems, robust control, singular perturbations, and nonlinear control. She has published more than 180 articles in international scientific journals. She is the author of the two monographs including “Introduction to Time-Delay Systems: Analysis and Control” (Birkhauser, 2014).
She serves/served as Associate Editor in Automatica, SIAM Journal on Control and Optimization, and IMA Journal of Mathematical Control and Information. In 2014, she was Nominated as a Highly Cited Researcher by Thomson ISI.
Since 2018, she has been the incumbent for Chana and Heinrich Manderman Chair on System Control at Tel Aviv University. She is IEEE Fellow since 2019. She is currently a member of the IFAC Council.
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