l4 - 16.06 Lecture 4 Disturbances and Sensitivity Karen...

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16.06 Lecture 4 Disturbances and Sensitivity Karen Willcox September 10, 2003 Today’s Topics 1. Sensitivity to parameter variation 2. Static and dynamic sensitivity 3. Effects of external disturbances Reading : 4.1,4.2 1
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1 Recall the motivations for feedback! 1. Reduce the effects of parameter variations 2. Reduce the effects of disturbance inputs 3. Improve transient response characteristics 4. Reduce steady-state errors 2
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2 Disturbances and parameter variations in control systems Recall the standard block diagram we saw in Lecture 2: disturbance d ll e c r + - contro er plant or process power amplifier sensor error output input actuator Figure 1: Standard block diagram. Disturbances Parameter variations Examples: 3
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3 Sensitivity to parameter variation (vdv 4.2) Consider the following system: The system transfer function is: Note that we use G ( s ) to describe the open-loop transfer function of one particular component of a system, and T ( s ) to describe the transfer
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l4 - 16.06 Lecture 4 Disturbances and Sensitivity Karen...

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