Decentralized Control in the Frequency Domain and in the Time Domain

Reduced sensitivity within a constrained frequency range has been linked to decentralized control, particularly in cases where the multivariable system exhibits weak coupling, such as being ultimately diagonally dominant, particularly at high frequencies. Presented is an innovative control method named B-control aimed at achieving decentralized control, focusing on crafting a high-gain diagonal compensator customized for a multi-input-multi-output (MIMO) frequency response system that is both unstable and invertible. This approach integrates quasi-linear control with sensitivity considerations, offering the advantage of simultaneous optimization in both the time and frequency domains. The proposed method results in less conservative controller gains determined by leveraging the multivariable Nyquist criteria, thus enhancing practicality. Robust stability and adaptive control schemes can also benefit from the advantages of the B-control method.