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Chapter 5 Dynamic and Closed-Loop Control

Chapter 5 Dynamic and Closed-Loop ControlClarence W. Rowley Princeton University, Princeton, NJBelinda A. Batten Oregon State University, Corvalis, Fundamental principles of feedback .. Models of multi-input, multi-output (MIMO) systems .. Controllability, Observability .. State Space vs. Frequency Domain ..83 Classical Closed-Loop PID feedback .. Transfer functions .. Closed-Loop stability .. Gain and phase margins and robustness .. Sensitivity function and fundamental limitations .. Full-state Feedback: Linear Quadratic Regulator Problem .. Observers for state estimation .. Observer-based feedback .. Robust Controllers: MinMax Control .. Examples .. Galerkin projection .. Proper Orthogonal Decomposition .. Balanced truncation ..27 Associate Professor, Mechanical and Aerospace Engineering, Senior Member AIAA Professor, Mechanical Engineering, Member AIAAC opyrightc 2008 by Rowley and Batten. Published by the American Institute of Aeronautics andAstronautics, Inc.

This ability of feedback systems to modify a system’s natural dynamics is discussed further in Sections 2.1 and 4.5. Only recently have closed-loop controllers been used in flow control applications. Our objective here is to outline the main tools of control theory relevant to these

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Transcription of Chapter 5 Dynamic and Closed-Loop Control

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ON DYNAMIC MODE DECOMPOSITION: THEORY AND …

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