Discontinuities and hysteresis in quantized average consensus
Copyright policy )Discontinuities and hysteresis in quantized average consensus
We consider continuous-time average consensus dynamics in which the agents' states are communicated through uniform quantizers. Solutions to the resulting system are defined in the Krasowskii sense and are proven to converge to conditions of "practical consensus". To cope with undesired chattering phenomena we introduce a hysteretic quantizer, and we study the convergence properties of the resulting dynamics by a hybrid system approach.
26 pages, 7 figures. Accepted for publication in Automatica. v4 is minor revision of v3
- University of Twente Netherlands
- Sapienza University of Rome Italy
- Roma Tre University Italy
- Dipartimento di Matematica Politecnico di Torino Italy
- Polytechnic University of Turin Italy
generalized solutions, average consensus, Systems and Control (eess.SY), quantization; average consensus; hysteresis; hybrid system; generalized solutions, Decentralized systems, METIS-267221, Mathematical modelling of systems, hysteresis, Optimization and Control (math.OC), Optimization and Control, Applications of graph theory to circuits and networks, hybrid system, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, quantization, 93C30 (Primary), 93D15, 68R10 (Secondary), Systems and Control
generalized solutions, average consensus, Systems and Control (eess.SY), quantization; average consensus; hysteresis; hybrid system; generalized solutions, Decentralized systems, METIS-267221, Mathematical modelling of systems, hysteresis, Optimization and Control (math.OC), Optimization and Control, Applications of graph theory to circuits and networks, hybrid system, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, quantization, 93C30 (Primary), 93D15, 68R10 (Secondary), Systems and Control
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