Contributed by: Ying Tang, ying.tang@univ-lille.fr
PhD position at the University of Lille, France
A three years PhD position is available at the University of Lille, France
Topic: Cyber-Physical Systems with multi-time scales
Job description: Autonomous Cyber-Physical Systems (ACPS) combine the physics of motion with advanced cyber algorithms to act on their own without close human supervision. Recently, attention is being focused on understanding and design of such complex systems by Automatic Control community. From the Control Theory point of view, the analysis and design of Cyber-Physical Systems (CPS) imply the study of complex hybrid systems. Cyber- Physical Systems are typically designed as a network of interacting embedded computers with sensors as physical inputs and actuators as outputs. Moreover, by their inherent nature, such systems involve large number of interconnected systems evolving according to different time scales. In this case, standard control techniques do not allow to handle the small time scale and lead to ill-conditioning problems. There is a lack of tractable tools for analysis and design of CPS when taking different time scales into account. It is a challenge today to design control algorithms using reduced modes (taking into account only one time scale at a time) while ensuring the overall behaviour of the system.
Hybrid systems with multi timescales are relevant to the study of sampled-data control systems. In particular, the systems with aperiodic sampling that we can frequently meet in the domain of Robotics. Such classes of hybrid dynamical systems are very interesting from a theoretic point of view since the study of their basic properties is a largely open field. The development of tractable tools for the analysis and the design of switching rule for such systems is theoretically challenging.
In this thesis, we propose to the candidate to develop new theoretical tools of analysis and control for hybrid systems involving multi-time scales. Two main problems will be studied: (1) development of the new stability analysis tools of such systems in order to guarantee certain performance criteria. (2) switching control law design for the reduced subsystems to ensure the stability of the full system. Numerical applications on the experimental facilities in the CO2 group will be subsequently carried out by the candidate.
More details can be found at:
https://bit.ly/3bNZgZN
To apply, please send the following documents to Lotfi Belkoura (lotfi.belkoura@univ-lille.fr), Laurentiu Hetel (laurentiu.hetel@centralelille.fr) and Ying Tang (ying.tang@univ-lille.fr)
-Detailed CV
-Motivation letter
-Transcripts of records (Undergraduate degree and Master degree)
-Recommendation letters
-Research-oriented documents (e.g. thesis, conference/journal publication)
