Banca de DEFESA: ROBSON WILSON SILVA PESSOA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : ROBSON WILSON SILVA PESSOA
DATE: 30/11/2023
TIME: 13:00
LOCAL: Sala de videoconferência RNP UFBA_PEI
TITLE:

𝑞-formalism in adaptive dynamics by Extremum Seeking and in electrolyte thermodynamics in the context of anaerobic digestion.

KEY WORDS:

Non extensivity, Extremum Seeking, Anaerobic Reactors, Long Range Interactions.

PAGES: 107
BIG AREA: Engenharias
AREA: Engenharia de Produção
SUMMARY:

Inspired by the mathematicalworks developed in Nonadditive Statistical Mechanics, with their
functions, algebra and trigonometry, extensively applied to complex systems, are realized two
proposals in this thesis which imply in consequences in the context of the non- linear dynamic
system and in the thermodynamic of electrolytes, that orbit surround the anaerobic digestion
in reactors. The first contribution talks about the proposition of an algorithm extremum seeking
modified by a function from 𝑞-trigonometry of Borges with consequence in the increase
of the speed in the search of the extreme and the minimum of the external disturbances. This
result is analytically demonstrated by the presentation of the asymptotic stability according
to Lyapunov. The second proposal, is in the context of the long-range interaction context
typically presented by the behavior in electrolyte solutions and modelled by the potential of
Debye-Hückel, which this potential is generalized by the 𝑞-exponential function, which allows,
in a simple way, to represent the superficial tension properties and mean ionic activity
coefficient, important to many applications in chemical, biological and environmental systems.
In the investigation of thermodynamic hypothesis simplifying adopted in the ADM1 to
the balance of the biomethane, it is verified that they are enough to represent the system of
the study case, different from the behavior of the carbon dioxide, which is dependable from
the chemical and electrolyte equilibrium reactions. In addition to that, it is confirmed the increase
of velocity, the breadth of the domain and the reduce of the residual disturbance of the
application of the generalized extremum seeking algorithm. Lastly, it is demonstrated how
the potential of generalized Debye- Hückel is capable of estimate properties such as the superficial
tension and the average of mean ionic activity coefficient to the wide ranges of ionic
concentrations.

COMMITTEE MEMBERS:
Externo à Instituição - Tiago Roux Oliveira - UERJ
Externo ao Programa - ***.524.915-** - DIEGO LIMA MEDEIROS - UFBA
Externo à Instituição - ENRIQUE ANDRES LOPEZ DROGUETT
Externa à Instituição - IDELFONSO BESSA DOS REIS NOGUEIRA
Externo à Instituição - IGNACIO SEBASTIAN GOMEZ - UESB
Presidente - 2574950 - KARLA PATRICIA SANTOS OLIVEIRA RODRIGUEZ ESQUERRE
Externo ao Programa - 1741302 - LUCIANO MATOS QUEIROZ - null