LHMNC 2027

Advances in technology require to account for diverse nonlinear phenomena in the design of increasingly complex control systems. In many cases of interest it is highly rewarding, or even necessary, to exploit the physical characteristics of the system in order to derive control strategies that are robust, interpretable, and energy-efficient (‘go with the flow’). In particular, methods that are based on Hamiltonian and Lagrangian modeling of physical systems have turned out to be very successful and versatile. For example, port-Hamiltonian theory has made significant progress in methodology and applications to cope with coupled multiphysics systems and heterogeneous dynamical networks. Such energy-based formulations allow to combine the powerful design methods of passivity-based control with the specific properties of the differential-geometric structures of Lagrangian and Hamiltonian systems. Furthermore there are deep connections with optimal and robust nonlinear control theory. Applications of these theories do not only include mechanical and robotic systems, but also electrical and electro-mechanical systems, smart materials, power systems and distribution networks, and chemical and biological processes. Recent developments have also shown the power of the Hamiltonian and Lagrangian framework for distributed parameter systems, in combination with adapted, structure-preserving, numerical schemes. Examples in fluid dynamics, acoustics, fluid-structure interaction, quantum mechanics, and irreversible thermodynamics are numerous.

The series of three-yearly IFAC Workshops on Lagrangian and Hamiltonian Methods for Nonlinear Control was initiated in 2000. Its 9th edition at ITAM, Mexico-City, will continue to bring together control experts from different areas to exchange their experiences and insights on physical structures as the foundation of versatile design methods, to discuss new approaches for modeling, analysis and control, and to present state-of-the-art results on applications to complex engineering systems.

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