LAMIH seminar "Control of systems in an arbitrary time domain through the theory of measurement chains".

Summary

This research focuses on designing control algorithms for systems in any arbitrary time domain using the theory of measurement chain calculus, while keeping in mind issues related to communication disruption, information availability, energy efficiency, and safety critical operations. We can use measurement chain calculus to model systems in any time domain, whether continuous (R), discrete (Z), or continuous-discrete (P_{a,b}). First, the formulation of the switched system on a specific continuous-discrete measurement chain called measurement chain P_{a,b} is used to address the observer-based bipartite leader-follower consensus problem on a bipartite graph under a certain class of intermittent failures in the communication channels. In order to overcome the problem related to energy consumption, which had emerged when the consensus problem was addressed, we looked in the direction of event triggering. We also studied some classical event triggering problems for systems on measurement chains using emulation-based methods. Finally, we discussed event-triggered safety critical control for nonlinear systems on measurement chains using the notion of barrier functions on measurement chains.

Contact: Subham Dey