COMPUTING THE FREQUENCY-RESPONSE OF LINEAR-SYSTEMS WITH PARAMETRIC PERTURBATION

The problem of computing the frequency response of linear systems with parametric perturbation is addressed. Under the assumption that the coefficients of the system transfer function depend on the perturbation parameters in a linear manner, we provide results for plotting the frequency response of the perturbed transfer function. These results are useful in determining the H∞ norm, gain margin and phase margin and in improving the diagonal dominance of multi-input multi-out-put uncertain systems. An illustrative example is provided to demonstrate the results. © 1990.