Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(10): 3052-3067

https://doi.org/10.1007/s12555-023-0708-9

© The International Journal of Control, Automation, and Systems

Decentralized Control in the Frequency Domain and in the Time Domain

David Bensoussan, Azeddine Ghodbane*, and Maher Hammami

University of Quebec

Abstract

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-multioutput (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.

Keywords Decentralized control, frequency response performances, optimization of MIMO time, quasi-linear control, sensitivity reduction.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(10): 3052-3067

Published online October 1, 2024 https://doi.org/10.1007/s12555-023-0708-9

Copyright © The International Journal of Control, Automation, and Systems.

Decentralized Control in the Frequency Domain and in the Time Domain

David Bensoussan, Azeddine Ghodbane*, and Maher Hammami

University of Quebec

Abstract

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-multioutput (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.

Keywords: Decentralized control, frequency response performances, optimization of MIMO time, quasi-linear control, sensitivity reduction.

IJCAS
October 2024

Vol. 22, No. 10, pp. 2955~3252

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