Controlling co-generation: conservation laws, modelling and Lyapunov synthesis

ABSTRACT

The paper considers a model of co-generation with distributed parameters, described by a non-standard boundary value problem with nonlinear boundary conditions with respect to a system of conservation laws. For the aforementioned model, well posedness in the sense of Hadamard, existence of some invariant sets, equilibria and their stability will be studied. The stabilising feedback laws are synthesised using a suitably constructed Lyapunov functional.

KEYWORDS:

• Conservation laws
• energy co-generation
• control Lyapunov functional

Acknowledgements

VR had the chance to ‘cross’ Aleksandr (Sasha) Fradkov during more than a quarter of a century. His outstanding contributions to automatic control in its interactions with mathematics but also physics became landmarks in the field. He spends also a tremendous energy in what is called ‘work in the service of the scientific community’. At his anniversary he deserves our best wishes and admiration. Happy birthday!

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Vladimir Răsvan http://orcid.org/0000-0002-4569-9543

Additional information

Funding

This work was supported by a grant of the National Authority for Scientific Research and Innovation, CCCDI – UEFISCDI, project number 78 BM.