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Tofighi, Saeedreza; Merrikh-Bayat, Farshad; Bayat, Farhad

Designing and tuning MIMO feedforward controllers using iterated LMI restriction. (English) Zbl 1512.93063

Electron. Res. Arch. 30, No. 7, 2465-2486 (2022).
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 \(\mathrm{H}_\infty\)-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.

MSC:

93C35 Multivariable systems, multidimensional control systems
90C22 Semidefinite programming

Keywords:

MIMO feedforward controller; disturbance rejection; set-point tracking; linear matrix inequality (LMI); semidefinite program (SDP) optimization

Software:

CVX
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Full Text: DOI
OA License

References:

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