Abstract
This chapter provides a self-contained overview of modern linear feedback control theory. We focus on key methods for laminar and transitional flow stabilization, introducing concepts from optimal control theory and system identification to build intuition. Optimal regulators and filters are discussed, along with system identification.
Guaranteed Margins for LQG Regulators. Abstract—There are none.
John Doyle IEEE Transactions on Automatic Control, 1978 [86]
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Notes
- 1.
BPOD and ERA models both balance the empirical Gramians and approximate balanced truncation [192] for high-dimensional systems.
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Duriez, T., Brunton, S.L., Noack, B.R. (2017). Methods of Linear Control Theory. In: Machine Learning Control – Taming Nonlinear Dynamics and Turbulence. Fluid Mechanics and Its Applications, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-40624-4_3
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DOI: https://doi.org/10.1007/978-3-319-40624-4_3
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