<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, an optimal solution to the eigen-structure problem that dramatically reduces the control effort required for a multi-input multi-output (MIMO) multirate system is proposed. This technique not only minimize the amplitude of state transmission and control signal changes but also reduce the sensitivity to the effects of internal sampling in multirate MIMO systems results from interactions of the model order reduction. In this study, a constrained eigen-structure method with nonlinear constraints is used. The novelty of this study is that by using partial derivatives, a gain optimization process to optimize the nonlinearly constrained eigen-structure method is proposed. First, this method is explained, and then the desired method is applied for optimization operations, and finally, the results will be shown with a numerical example and a simulation.</p>
</abstract>

In this paper, an optimal solution to the eigen-structure problem that dramatically reduces the control effort required for a multi-input multi-output (MIMO) multirate system is proposed. This technique not only minimize the amplitude of state transmission and control signal changes but also reduce the sensitivity to the effects of internal sampling in multirate MIMO systems results from interactions of the model order reduction. In this study, a constrained eigen-structure method with nonlinear constraints is used. The novelty of this study is that by using partial derivatives, a gain optimization process to optimize the nonlinearly constrained eigen-structure method is proposed. First, this method is explained, and then the desired method is applied for optimization operations, and finally, the results will be shown with a numerical example and a simulation.

Eigen-structure problem optimization for multirate, multi-input multi-output systems applied to a roll rate autopilot

International Journal on Smart Sensing and Intelligent Systems

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, an optimal solution to the eigen-structure problem that dramatically reduces the control effort required for a multi-input multi-output (MIMO)...

k_i	k_p
2.5	0.39
2.5	0.48
2.5	0.41
2.5	0.506

Feedback gain matrix k	Performance value
k₁ = 7.921	k₁
k₂ = 22.432
k₃ = 26.29
k₄ = 28.6301
4.69	J_D₁
9.501	J_D₂
1.429	‖k‖₂

Eigen-structure problem optimization for multirate, multi-input multi-output systems applied to a roll rate autopilot

Article Category: Article

Published Online: Jun 08, 2022

Page range: -

Received: Aug 18, 2021

DOI: https://doi.org/10.2478/ijssis-2022-0008

Keywords
Autopilot, Eigen structure, MIMO, Multirate, Optimization

© 2022 Alireza Roosta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

Figure 2

Figure 3

Figure 4

Calculated gains.

Performance parameters after optimization

Eigen-structure problem optimization for multirate, multi-input multi-output systems applied to a roll rate autopilot

Article Category: Article

Published Online: Jun 08, 2022

Page range: -

Received: Aug 18, 2021

DOI: https://doi.org/10.2478/ijssis-2022-0008

KeywordsAutopilot, Eigen structure, MIMO, Multirate, Optimization

© 2022 Alireza Roosta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

Figure 2

Figure 3

Figure 4

Calculated gains.

Performance parameters after optimization

Keywords
Autopilot, Eigen structure, MIMO, Multirate, Optimization