Subject Ph. D.

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.