Designing and tuning MIMO feedforward controllers using iterated LMI restriction

In this paper, a multi-input multi-output (MIMO) feedforward control structure is proposed and designed based on the linear matrix inequality (LMI) approach to improve disturbance rejection and reference tracking of the given feedback system. The proposed architecture consists of two MIMO feedforwar...

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Bibliographic Details
Published in:Electronic research archive 2022-01, Vol.30 (7), p.2465-2486
Main Authors: Tofighi, Saeedreza, Merrikh-Bayat, Farshad, Bayat, Farhad
Format: Article
Language:English
Subjects:
disturbance rejection
linear matrix inequality (lmi)
mimo feedforward controller
semidefinite program (sdp) optimization
set-point tracking
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Summary:In this paper, a multi-input multi-output (MIMO) feedforward control structure is proposed and designed based on the linear matrix inequality (LMI) approach to improve disturbance rejection and reference tracking of the given feedback system. The proposed architecture consists of two MIMO feedforward controllers, where each controller can be designed independently using the proposed method. The unknown variables of the feedforward controllers are calculated using LMI restrictions such that the H ∞ -norm of the transfer function matrix from disturbance (set-point) to output (error) is minimized. By taking advantage of the frequency sampling techniques and using some iterative algorithms, convergence of the solution to a local optimal point is guaranteed. For solving this optimization problem the CVX optimization tool is used and the numerical results are presented. The proposed method can be considered as a new tractable approach for tuning the parameters of MIMO feedforward controllers.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2022126