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.

We note that it is not enough to require that the ODE model of the system, e.g., one computed from a computational fluid dynamics package, converge to the PDE model. We refer the interested reader to Curtain and Zwart. 4. for further discussion on control of PDE systems. Throughout much of this chapter, we will restrict our attention to the ...

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