April 11, 2017

Talk of Prof. Leonid Mirkin

--- Title: On Minimum-Variance Event-Triggered Control

April 11, 2017

Prof. Leonid Mirkin
Faculty of Mechanical Engineering
Technion - Israel Institute of Technology
Haifa, Israel


Tuesday, 2017-04-11 16:00
IST-Seminar-Room V9.22 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen




The appeal of event-triggered control is its potential ability to outperform conventional (time-triggered) sampled-data systems under comparable communication demands. A striking example of this ability is the Lebesgue sampling algorithm of Åström & Bernhardsson (1999), proposed for the minimum-variance control of first-order analog plants with impulsive control action and noiseless measurements of the plant state. In the case of a single integrator, the algorithm outperforms the optimal time-triggered sampled-data controller, under the same average sampling rate, by a factor of 3. However, extending this result to more general / practical settings has proven to be a challenge.

In this talk, I will present an approach to the minimum-variance event-triggered control in a general "standard problem" setting. The main result is a full separation between the controller architecture and event-triggering mechanism, which, in turn, reduces the problem to an optimal stopping problem for a Markov process driven by a white input. I will discuss implications of this for some special cases (like the overall optimality of the scheme of Åström & Bernhardsson and its extendibility to systems with measurement noise and limited control effort).

This is a joint work with Alexander Goldenshluger from U Haifa. Remarkably, this collaboration on stochastic event-triggered control was triggered by two deterministic events that took place in the city of Frunze in mid-late '60s.



Biographical Information


Leonid Mirkin is a native of Frunze, Kirghiz SSR, USSR (now Bishkek, Kyrgyz Republic). He received the Electrical Engineer degree from Frunze Polytechnic Institute and the PhD (candidate of sciences) degree in automatic control from the Institute of Automation, Academy of Sciences of Kyrgyz Republic, in 1989 and 1992, respectively. He joined the Faculty of Mechanical Engineering at the Technion - Israel Institute of Technology in 1994, first as a postdoc and then as a faculty. His research interests include systems theory, control and estimation of sampled-data systems, dead-time compensation, systems with preview, distributed control, and applications in electro-mechanical systems and process control.





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