What is it about?
Synthesizing an optimal output-feedback controller generally requires solving a series of non-convex problems, which does not guarantee a globally stabilizing solution. However for incompressible flows, we discovered that convex constraints can be developed to design globally-stabilizing output-feedback controllers. In this paper, we propose a framework to design globally-stabilizing output-feedback controllers using the fact that incompressible flows have energy-conserving nonlinearities. The designed controller is demonstrated on a low-order fluid flow model.
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Why is it important?
We describe a controller synthesis framework, which allows for developing convex constraints to capture global behavior of any dynamical system with an energy-conserving nonlinearity.
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This page is a summary of: Feedback stabilization of incompressible flows using quadratic constraints, June 2022, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/6.2022-3773.
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