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A sliding mode controller for a model of flow separation in boundary layers
Author(s) -
Sanchez Tonametl,
Polyakov Andrey,
Richard JeanPierre
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4822
Subject(s) - control theory (sociology) , robustness (evolution) , sliding mode control , bilinear interpolation , boundary (topology) , mimo , computer science , constant (computer programming) , nonlinear system , mathematics , control (management) , mathematical analysis , physics , channel (broadcasting) , gene , programming language , computer network , biochemistry , chemistry , quantum mechanics , artificial intelligence , computer vision
Summary In this paper, we propose a sliding mode controller for a MIMO model of flow separation in boundary layers. The model consists in a bilinear system with constant delays in both the state and the input. The main motivation to consider such a class of systems is that it has shown to be suitable for input‐output modeling and control design of some turbulent flow control systems. Stability and robustness properties of the control scheme are studied by means of Volterra equations theory, which provides easily verifiable stability conditions.

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