Process dynamics and control of systems of conservation laws:
The design of energy efficient, reliable and intensive processes requires the development of dynamical models of processes which are accurate and adaptable and take account of their energy and entropy properties. Therefore the main research objective of the group is the development of modeling methods, algorithms for the numerical simulation and the control of processes which explicitly use the physical properties of the processes.
In a first instance, dynamical models using bond-graph modeling and the parameter identification of complex, network-structured processes are investigated by the use of measurements of transient behavior. Different multi-scale processes are considered such as adsorption, reactive extrusion processes, heat pumps, thermal stocks using phase changes in fluids and crystallization in emulsion processes, involving mass and heat transport in heterogeneous and reactive media with moving interface.
In a second instance, nonlinear control laws are developed, based on passivity techniques and using invariants and balance equations of thermodynamically-based functions. For this goal our research group develops different formulation of processes, in particular the Continuous Stirred Tank Reactor, as quasi-port Hamiltonian systems or input-output contact systems. Control laws for the stabilization of such processes are then developed based on structure preserving feedback control such as IDA-PBC.
In a third instance the research group works on the control of systems of conservation laws, eventually augmented with source terms due for instance to the entropy creation terms. Infinite-dimensional port-Hamiltonian systems with boundary port variables are considered and specific spatial discretization algorithms are developed which preserve the Dirac structure underlying the port-Hamiltonian systems. The existence of solutions and the relation with boundary control systems and well-posed systems is also investigated, based on the semi-group theory or on classical fixed-point techniques. Finally the stabilization of nonlinear systems of conservation laws using Riemann invariants and gain scheduling is addressed.
Director: Melaz TAYAKOUT-FAYOLLE
Co-directors: Isabelle PITAULT et Vincent ANDRIEU