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Process Control: Modeling, Design, and Simulation by B. Wayne Bequette

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6.4. Direct Synthesis

Consider the standard feedback block diagram shown in Figure 6-1. Recall that we could determine the performance or stability of the closed-loop system from the closed-loop transfer function

Equation 6.6

In the direct synthesis procedure, we select a desired closed-loop response, gCL(s), and, based on the known process, gp(s), find the controller gc(s) that will yield this response. Solving Equation (6.6) for gc(s), we obtain

Equation 6.7

By now you should be able to perform block diagram manipulations to find the relationship ...

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