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\( \varvec{H}_{\infty } \) Optimal Actuator and Sensor Placement for Linear Systems

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Artificial Intelligence and Soft Computing (ICAISC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9692))

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Abstract

Optimizing the placement of actuators and sensors for the control and monitoring tasks is one of the most important and challenging research topics in the comprehensive aircraft control systems. This paper proposes a new way to address this issue, in which Heat and Wave Equation discretized by the Finite Differential Method (FDM) were used to describe the inputs/outputs propagation mode for control systems. By utilizing a robust controller design to the models, the complicated optimal actuator and sensor placement problem can be transformed to a judgement on specific characteristics. The feedback controller was designed based on the \( H_{\infty } \) Optimal Control Principles, where the external input \( w \) is considered to be the perturbation. The optimal placement is able to be obtained at the place with the best performed controller. The simulation results show that it is reasonable to solve the actuator and sensor placement optimization problem using the proposed method and the results for the two models shared an agreeable trend. Therefore, the process of optimizing the placement of sensors and actuators for control and monitoring system could serve as a natural extension to other structures.

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Acknowledgement

I would like to express my great appreciation to my supervisor, Dr. Eric Kerrigan from Department of Aeronautics, Imperial College London, for his guidance and constructive advice throughout the project.

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Authors and Affiliations

  1. Department of Aeronautics, Imperial College London, London, UK

    Yijin Zhao

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  1. Yijin Zhao
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Correspondence to Yijin Zhao .

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Editors and Affiliations

  1. Częstochowa University of Technology, Czestochowa, Poland

    Leszek Rutkowski

  2. Częstochowa University of Technology, Czestochowa, Poland

    Marcin Korytkowski

  3. Częstochowa University of Technology, Czestochowa, Poland

    Rafał Scherer

  4. AGH University of Science and Technology, Krakow, Poland

    Ryszard Tadeusiewicz

  5. University of California, Berkeley, California, USA

    Lotfi A. Zadeh

  6. University of Louisville, Louisville, Kentucky, USA

    Jacek M. Zurada

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© 2016 Springer International Publishing Switzerland

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Zhao, Y. (2016). \( \varvec{H}_{\infty } \) Optimal Actuator and Sensor Placement for Linear Systems. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2016. Lecture Notes in Computer Science(), vol 9692. Springer, Cham. https://doi.org/10.1007/978-3-319-39378-0_66

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  • DOI: https://doi.org/10.1007/978-3-319-39378-0_66

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39377-3

  • Online ISBN: 978-3-319-39378-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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