SICE Journal of Control, Measurement, and System Integration
Online ISSN : 1884-9970
Print ISSN : 1882-4889
ISSN-L : 1882-4889
Special Issue on SICE Annual Conference 2019
Model Predictive Control of Multivariable Plants Using Interactor and Solving Procedure of Matrix Polynomial Diophantine Equations
Akira INOUEMingcong DENGTakao SATOAkira YANOUTomohiro HENMI
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2020 Volume 13 Issue 3 Pages 84-89

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Abstract

This paper proposes a design method of model predictive control (MPC) for multi-input multi-output (MIMO) plants with time-delay by using an interactor matrix and a sequential procedure to solve the matrix polynomial Diophantine equations required to be solved in the design. The equations are of matrix polynomials, and matrix calculations are not commutative; hence it is not easy to solve the equations, and it is necessary to obtain a sequential solving procedure. Also, the difficulty in the design of MPC of MIMO plants comes from the fact that a plant transfer function is a matrix, which is not commutative in multiplication. This paper avoids this difficulty by deriving a plant transfer function with a scalar polynomial denominator. And to handle the time-delay in MIMO plants, an interactor matrix is used to shift the outputs by time-delay steps. Then the design problem with time-delay is reduced to a problem without time-delay. There exist designs of MPC for time-delay plants by using a longer horizon than the time-delay steps. In this paper, it is shown by simulations that MPC having a long horizon is sensitive to disturbances and that the proposed MPC is less sensitive.

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© 2020 The Society of Instrument and Control Engineers
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