Ph. D. Project
Title:
Development of harmonic control algorithms for interconnected systems: Application to electrical actuation chains in
aeronautics.
Dates:
2025/10/01 - 2028/09/30
Supervisor(s):
Other supervisor(s):
RIEDINGER Pierre (Pierre.Riedinger@univ-lorraine.fr)
Description:
Current trends in the design of technical, environmental, and social systems are characterized by strong connectivity, increasing
size, intrinsic heterogeneity, high autonomy, and a growing awareness of resource sharing. These trends are visible in various
sectors, including the transport and energy industries. Resource constraints necessitate information exchange to understand
global behavior and, consequently, adjust individual behavior. To achieve desired objectives, this local regulation must be
coupled with global cooperation and interactions. Additionally, these systems are uncertain, characterized by interactions
between dynamics of different natures and communication topologies that evolve over time. Such architectures are extremely
difficult to control and present major scientific and technological challenges, at the core of automation and control theory.
Understanding how to model and control these systems is of significant scientific and economic interest.
In this context, many technological or biological systems can be viewed as networks of interacting periodic processes. Energy
management systems are typical examples, but similar processes are also found in neuroscience and biology, where multiple
levels are governed by interacting periodic processes. Mastering harmonic control, either individually or considering
interactions, is an issue of both practical and theoretical interest. Its relevance is evident in applications such as power grids or
neuroscience, where specific frequency attenuation is required. The objective of this thesis is to develop harmonic control
algorithms for interconnected systems. Harmonic control aims to reduce harmonic distortions while ensuring stability and
performance. The main application concerns electrical actuation chains, a crucial technological component in embedded
electrical networks in aeronautics, where the demand for electrical energy is constantly increasing. This phenomenon of aircraft
electrification is expected to grow for both ecological and economic reasons, with the goal of achieving a "fully electric"
aircraft in the future.
size, intrinsic heterogeneity, high autonomy, and a growing awareness of resource sharing. These trends are visible in various
sectors, including the transport and energy industries. Resource constraints necessitate information exchange to understand
global behavior and, consequently, adjust individual behavior. To achieve desired objectives, this local regulation must be
coupled with global cooperation and interactions. Additionally, these systems are uncertain, characterized by interactions
between dynamics of different natures and communication topologies that evolve over time. Such architectures are extremely
difficult to control and present major scientific and technological challenges, at the core of automation and control theory.
Understanding how to model and control these systems is of significant scientific and economic interest.
In this context, many technological or biological systems can be viewed as networks of interacting periodic processes. Energy
management systems are typical examples, but similar processes are also found in neuroscience and biology, where multiple
levels are governed by interacting periodic processes. Mastering harmonic control, either individually or considering
interactions, is an issue of both practical and theoretical interest. Its relevance is evident in applications such as power grids or
neuroscience, where specific frequency attenuation is required. The objective of this thesis is to develop harmonic control
algorithms for interconnected systems. Harmonic control aims to reduce harmonic distortions while ensuring stability and
performance. The main application concerns electrical actuation chains, a crucial technological component in embedded
electrical networks in aeronautics, where the demand for electrical energy is constantly increasing. This phenomenon of aircraft
electrification is expected to grow for both ecological and economic reasons, with the goal of achieving a "fully electric"
aircraft in the future.
Keywords:
Distributed harmonic control, Interconnected systems, Embedded electrical networks.
Conditions:
We are looking for highly motivated and talented students who are interested in tackling challenging research problems. The
research work envisioned for this thesis is mainly theoretical in nature and requires strong foundations in control theory or
applied mathematics. Graduates applying for this position should have the following:
⬢ M.Sc. or equivalent in control theory, applied mathematics Mathematics or Electrical Engineering.
⬢ Sufficient mathematical maturity and strong interest in applied mathematics and optimization. Prior research experience
and publications are a plus.
⬢ Excellent academic results.
research work envisioned for this thesis is mainly theoretical in nature and requires strong foundations in control theory or
applied mathematics. Graduates applying for this position should have the following:
⬢ M.Sc. or equivalent in control theory, applied mathematics Mathematics or Electrical Engineering.
⬢ Sufficient mathematical maturity and strong interest in applied mathematics and optimization. Prior research experience
and publications are a plus.
⬢ Excellent academic results.
Department(s):
| Control Identification Diagnosis |
