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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.

sensors, or use sensors in an open-loop fashion. The general architecture of a closed-loop control system is shown in Figure 1, where the key idea is that information from the plant is sensed, and used in computing the signal to send to the actuator. In order to describe the behavior of these systems, we will require mathematical mod-

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