Abstract
The robust stability problem is studied for multivariable feedback systems. The method is based on the use of eigenvalue inclusion regions and a hybrid approach is presented utilizing both the singular value decomposition and the numerical range concepts. The robust stability tests provide more realistic results since the process uncertainty descriptions make use of both the magnitude and the phase information in an attempt to obtain less conservative estimates of process uncertainty. Examples demonstrate the effectiveness of the method in evaluating the stability margins for multivariable systems and tuning controllers for robust closed-loop operation.
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