Bode Analysis of Uncertain Multivariable Systems

Bode plots are crucial for frequency domain analysis of SISO systems. The aim of this paper is to develop a complete approach for Bode plots of multivariable uncertain systems for both the magnitude and phase. The magnitude is based on the singular values. The phase is based on the phase spread of the numerical range. An IQC-based approach is pursued to provide both the magnitude and phase. A simulation example shows that the presented approach allows the generation of multivariable Bode plots of multivariable uncertain systems.