Ph. D. Project
Title:
Control and Observation of non-linear large scale systems. Application to smart grid systems
Dates:
2020/10/01 - 2023/09/30
Supervisor(s):
Other supervisor(s):
Pr Osorio Gordillo Gloria Lilia (gloria.og@cenidet.tecnm.mx)
Description:
Description: General context
The evolution of electricity production and management since the 19th century, the use of coal until the 21st century and the development of new sources of energy (Renewable Energies, Nuclear, Gas, Coal clean) through fossil fuels and hydroelectricity in the middle of the 20th century, enabled environmental constraints to be taken into account more and more consistently. This also allowed the passage from the era of centralized production with a unidirectional flow of energy distribution, towards an era where production could be centralized or decentralized, with a bidirectional flow of distribution.
This development has seen new problems of voltage withstand linked to the imbalance between phase and real consumption profile and the influence of decentralized production. The solution that has been adopted is based on smart grids. Ordering these interconnected systems is of great interest these days.
When modeling electricity transport and distribution systems, the equations obtained are not all dynamic, hence the advantage of using singular systems approaches for the treatment of this type of process.
Scientific background
Singular or algebro-differential systems are considered to be a generalization of usual dynamic systems. They include, in addition to dynamic relationships, algebraic or static equations, and therefore allow certain physical variables to be preserved in their state variables, which gives them the name of descriptor systems.
Several research teams have worked, since the 1990s, on the generalization of results from dynamic systems to singular systems. Nevertheless, certain problems remain untreated, in particular those which concern the problems of state and parameter estimates and the control of singular non-linear systems of large scale or interconnected.
The aim of this thesis is first to propose new observation algorithms, adaptive or not, for the estimation of the states and parameters of the different subsystems. The second objective is to propose new centralized and decentralized control laws to achieve different objectives. These results will be validated in simulations and on an intelligent electrical management platform (smart grid), for the optimal distribution of electricity according to the demand profile of the different loads (consumers).
References :
[1] M. Alma, M. Darouach, "Adaptive observer design for a class of linear descriptor systems", Automatica, Volume 50, Issue 2, 2014, pp 578-583.
[2] M. Alma, H.S. Ali, M. Darouach, N. Gao, "An H∞ adaptive observer design for linear descriptor systems", American Control Conference, ACC 2015, Chicago, USA, 2015.
[3] N. Gao, M. Darouach, M. Alma, H. Voos, "Decentralized dynamic-observer-based control for large scale nonlinear uncertain systems", American Control Conference, ACC 2015, Chicago, USA, 2015.
[4] N. Chen, W. Gui, G. Zhai, "Robust decentralized H∞ control for interconnected descriptor systems with norm-bounded uncertainties", Asian journal of control, Volume 11, Issue 1, 2009, pp 78-88.
[5] GL Osorio-Gordillo, M Darouach, CM Astorga-Zaragoza, L Boutat-Baddas, "Generalized dynamic observer design for Lipschitz non-linear descriptor systems", IET Control Theory & Applications 13 (14), 2270-2280, 2019 .
[6] GL Osorio-Gordillo, M Darouach, CM Astorga-Zaragoza, "H∞ dynamical observers design for linear descriptor systems. Application to state and unknown input estimation ", European Journal of Control 26, 35-43, 2015.
7] GL Osorio-Gordillo, M Darouach, CM Astorga-Zaragoza, L Boutat-Baddas, "Generalized dynamic observer design for Lipschitz non-linear descriptor systems", IET Control Theory & Applications 13 (14), 2270-2280, 2019.
The evolution of electricity production and management since the 19th century, the use of coal until the 21st century and the development of new sources of energy (Renewable Energies, Nuclear, Gas, Coal clean) through fossil fuels and hydroelectricity in the middle of the 20th century, enabled environmental constraints to be taken into account more and more consistently. This also allowed the passage from the era of centralized production with a unidirectional flow of energy distribution, towards an era where production could be centralized or decentralized, with a bidirectional flow of distribution.
This development has seen new problems of voltage withstand linked to the imbalance between phase and real consumption profile and the influence of decentralized production. The solution that has been adopted is based on smart grids. Ordering these interconnected systems is of great interest these days.
When modeling electricity transport and distribution systems, the equations obtained are not all dynamic, hence the advantage of using singular systems approaches for the treatment of this type of process.
Scientific background
Singular or algebro-differential systems are considered to be a generalization of usual dynamic systems. They include, in addition to dynamic relationships, algebraic or static equations, and therefore allow certain physical variables to be preserved in their state variables, which gives them the name of descriptor systems.
Several research teams have worked, since the 1990s, on the generalization of results from dynamic systems to singular systems. Nevertheless, certain problems remain untreated, in particular those which concern the problems of state and parameter estimates and the control of singular non-linear systems of large scale or interconnected.
The aim of this thesis is first to propose new observation algorithms, adaptive or not, for the estimation of the states and parameters of the different subsystems. The second objective is to propose new centralized and decentralized control laws to achieve different objectives. These results will be validated in simulations and on an intelligent electrical management platform (smart grid), for the optimal distribution of electricity according to the demand profile of the different loads (consumers).
References :
[1] M. Alma, M. Darouach, "Adaptive observer design for a class of linear descriptor systems", Automatica, Volume 50, Issue 2, 2014, pp 578-583.
[2] M. Alma, H.S. Ali, M. Darouach, N. Gao, "An H∞ adaptive observer design for linear descriptor systems", American Control Conference, ACC 2015, Chicago, USA, 2015.
[3] N. Gao, M. Darouach, M. Alma, H. Voos, "Decentralized dynamic-observer-based control for large scale nonlinear uncertain systems", American Control Conference, ACC 2015, Chicago, USA, 2015.
[4] N. Chen, W. Gui, G. Zhai, "Robust decentralized H∞ control for interconnected descriptor systems with norm-bounded uncertainties", Asian journal of control, Volume 11, Issue 1, 2009, pp 78-88.
[5] GL Osorio-Gordillo, M Darouach, CM Astorga-Zaragoza, L Boutat-Baddas, "Generalized dynamic observer design for Lipschitz non-linear descriptor systems", IET Control Theory & Applications 13 (14), 2270-2280, 2019 .
[6] GL Osorio-Gordillo, M Darouach, CM Astorga-Zaragoza, "H∞ dynamical observers design for linear descriptor systems. Application to state and unknown input estimation ", European Journal of Control 26, 35-43, 2015.
7] GL Osorio-Gordillo, M Darouach, CM Astorga-Zaragoza, L Boutat-Baddas, "Generalized dynamic observer design for Lipschitz non-linear descriptor systems", IET Control Theory & Applications 13 (14), 2270-2280, 2019.
Department(s):
| Control Identification Diagnosis |
