INFT 940 -- Design Project #1

Robust Analysis of Vibration Control System

1. At the bottom of this web page are shown the equations for a system to control mechanical vibration. The complete open-loop system is the series combination of those transfer functions. The quantities which are uncertain are the spring constant (k), damper constant (d), and the outer mass (m1). The uncertainty in these variables will be considered individually. The nominal value for each of these variables is denoted by the subscript 0 (e.g., k0). Variations in the variables will be with respect to those nominal values. Therefore, the range of values for a variable will have the form

   

2. The table below shows the range of variations in the three variables. Three sets of variation are shown for each of the three variables. The nine experiments are treated individually. The variables which are not being perturbed are held constant at their nominal values. For each experiment, the closed-loop characteristic equation will be considered an interval polynomial.
   Table of parameter values

3. For each of the experiments, perform a robustness analysis of the closed-loop system under the assumption of the characteristic equation being an interval polynomial. Kharitonov plots must be used to graphically support your analysis. Other methods, such as the Frequency Sweeping Function, discussed in Chapter 6, may also be used.

4. For variations in k and d, perform a root locus analysis and see if these results agree with those from the Kharitonov analysis.

5. Document your analysis in a typed report. Plots should be included to illustrate your discussion and conclusions.

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Latest revision was made on 05/08/01 08:28 PM