Design of Model Predictive Control of Multivariable Time-delay Plants Using Interactor Matrix

Deng, Mingcong; Satô, Takao; Yanou, Akira; Henmi, Tomohiro

doi:10.23919/sice.2019.8859924

Cited by 2 publications

(3 citation statements)

References 12 publications

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“…B 0 : constant non-singular matrix, (12) l m the highest degree of z in the L[z]. (13) The interactor matrix for the plant (1) is obtained by the method using singular value decomposition [15]. If the plant model (1) is derived from the transfer function matrix T(z), then the interactor of the plant (1) is the same to the interactor of the transfer function matrix T(z −1 ), and methods to derive the interactor matrix of transfer matrices are already proposed by several authors [5]- [8].…”

Section: Interactor Matrixmentioning

confidence: 99%

“…The plant is selected to be unstable, and time-delay steps are different from each input to output, so that the effect of the interactor and the proposed control can be clearly shown. The plant considered is the two-input two-output plant with the same transfer matrix to the plant used in simulations in [13].…”

Section: Simulationsmentioning

confidence: 99%

“…The authors [13] already proposed design of MIMO MPC using interactor. In the design, to avoid the difficulty of being not commutative of matrix multiplication, a transfer function with a scalar polynomial denominator is derived from matrix transfer functions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Model Predictive Control of Multivariable Plants Using Interactor and Solving Procedure of Matrix Polynomial Diophantine Equations

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SICE Journal of Control, Measurement, and System Integration

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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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