Chapter 5 Dynamic and Closed-Loop Control

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Chapter 5Dynamic 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.

1 Introduction. In this chapter, we present techniques for feedback control, focusing on those aspects of control theory most relevant for flow control applications. Feedback control has been used for centuries to regulate engineered systems. In the 17th century, Cornelius Drebbel invented one of the earliest devices to use feed-

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