Optimal codesign of controller and linear plants with input saturation: The sensitivity Lyapunov approach

Optimal codesign of controller and linear plants with input saturation: The sensitivity Lyapunov... Integrating the plant and controller designs reduces the unnecessary interactions, which increases the overall control cost. This is the main concern of the plant‐controller codesign (PCCD) theory that is extensively covered in the literature for linear plants. However, in the presence of input saturation, linear methods are not valid anymore. Indeed, for attaining the optimal controller with input saturation, the Hamilton‐Jacobi‐Bellman equation should be satisfied. In this paper, an iterative technique is proposed for solving the linear PCCD problem with input saturation. In order to achieve the optimal design, the plant is updated using the necessary condition for optimality expressed by sensitivity equations appended to the Hamilton‐Jacobi‐Bellman equation. Results indicate that the PCCD improves the control effort and reduces the overall performance index significantly. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Optimal Control Applications and Methods Wiley

Optimal codesign of controller and linear plants with input saturation: The sensitivity Lyapunov approach

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2018 John Wiley & Sons, Ltd.
ISSN
0143-2087
eISSN
1099-1514
D.O.I.
10.1002/oca.2369
Publisher site
See Article on Publisher Site

Abstract

Integrating the plant and controller designs reduces the unnecessary interactions, which increases the overall control cost. This is the main concern of the plant‐controller codesign (PCCD) theory that is extensively covered in the literature for linear plants. However, in the presence of input saturation, linear methods are not valid anymore. Indeed, for attaining the optimal controller with input saturation, the Hamilton‐Jacobi‐Bellman equation should be satisfied. In this paper, an iterative technique is proposed for solving the linear PCCD problem with input saturation. In order to achieve the optimal design, the plant is updated using the necessary condition for optimality expressed by sensitivity equations appended to the Hamilton‐Jacobi‐Bellman equation. Results indicate that the PCCD improves the control effort and reduces the overall performance index significantly.

Journal

Optimal Control Applications and MethodsWiley

Published: Jan 1, 2018

Keywords: ; ; ; ;

References

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