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

<p>This paper concerns the design problem of optimal preview repetitive control (OPRC) for impulse-free continuous-time descriptor systems. First, by using a linear transformation, the descriptor system is transformed into a normal system with relatively low dimensionality and an algebraic system. Based on this, an augmented system which contains the error vector and the derivative of the normal system is constructed. Then, applying the lift technique and introducing a new performance index, the OPRC designing problem is converted into a regulation problem. Based on the optimal control theory, the regulator problem of the augmented system is solved. Furthermore, the explicit OPRC law for the original system is deduced. Different from the existing results, the preview feed-forward and error integral compensations are added into the OPRC system, which can significantly improve the tracking performance. Finally, a numerical example simulation result verifies the validity of the proposed method.</p>
</abstract>

This paper concerns the design problem of optimal preview repetitive control (OPRC) for impulse-free continuous-time descriptor systems. First, by using a linear transformation, the descriptor system is transformed into a normal system with relatively low dimensionality and an algebraic system. Based on this, an augmented system which contains the error vector and the derivative of the normal system is constructed. Then, applying the lift technique and introducing a new performance index, the OPRC designing problem is converted into a regulation problem. Based on the optimal control theory, the regulator problem of the augmented system is solved. Furthermore, the explicit OPRC law for the original system is deduced. Different from the existing results, the preview feed-forward and error integral compensations are added into the OPRC system, which can significantly improve the tracking performance. Finally, a numerical example simulation result verifies the validity of the proposed method.

Optimal preview repetitive control for impulse-free continuous-time descriptor systems

Applied Mathematics and Nonlinear Sciences

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

This paper concerns the design problem of optimal preview repetitive control (OPRC) for impulse-free continuous-time descriptor systems. First, by using a...

Optimal preview repetitive control for impulse-free continuous-time descriptor systems

Published Online: Dec 31, 2021

Page range: 2017 - 2032

Received: Dec 01, 2020

Accepted: Apr 27, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00126

Keywords
repetitive control, preview control, optimal control, continuous-time descriptor systems

© 2023 Yong Hong Lan et al., published by Sciendo

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

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Optimal preview repetitive control for impulse-free continuous-time descriptor systems

Published Online: Dec 31, 2021

Page range: 2017 - 2032

Received: Dec 01, 2020

Accepted: Apr 27, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00126

Keywordsrepetitive control, preview control, optimal control, continuous-time descriptor systems

© 2023 Yong Hong Lan et al., published by Sciendo

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

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 6

Keywords
repetitive control, preview control, optimal control, continuous-time descriptor systems