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Algorithms
Volume 17
Issue 12
10.3390/a17120590
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Linear Matrix Inequality-Based Design of Structured Sparse Feedback Controllers for Sensor and Actuator Networks

by
Yuta Kawano
,
Koichi Kobayashi
* and
Yuh Yamashita
Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, Japan
*
Author to whom correspondence should be addressed.
Algorithms 2024, 17(12), 590; https://doi.org/10.3390/a17120590 (registering DOI)
Submission received: 8 October 2024 / Revised: 4 December 2024 / Accepted: 20 December 2024 / Published: 21 December 2024
(This article belongs to the Special Issue Optimization Methods for Advanced Manufacturing)
Versions Notes

Abstract

A sensor and actuator network (SAN) is a control system where many sensors and actuators are connected through a communication network. In a SAN with redundant sensors and actuators, it is important to consider choosing sensors and actuators used in control design. Depending on applications, it is also important to consider not only the choice of sensors/actuators but also that of communication channels in which some sensors/actuators are connected. In this paper, based on a linear matrix inequality (LMI) technique, we propose a design method for structured sparse feedback controllers. An LMI technique is one of the fundamental tools in systems and control theory. First, the sparse reconstruction problems for vectors and matrices are summarized. Next, two design problems are formulated, and an LMI-based solution method is proposed. Finally, two numerical examples are presented to show the effectiveness of the proposed method.
Keywords: sparse reconstruction; block-sparse reconstruction; linear matrix inequality (LMI); output feedback controller; sensor and actuator network (SAN) sparse reconstruction; block-sparse reconstruction; linear matrix inequality (LMI); output feedback controller; sensor and actuator network (SAN)

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MDPI and ACS Style

Kawano, Y.; Kobayashi, K.; Yamashita, Y. Linear Matrix Inequality-Based Design of Structured Sparse Feedback Controllers for Sensor and Actuator Networks. Algorithms 2024, 17, 590. https://doi.org/10.3390/a17120590

AMA Style

Kawano Y, Kobayashi K, Yamashita Y. Linear Matrix Inequality-Based Design of Structured Sparse Feedback Controllers for Sensor and Actuator Networks. Algorithms. 2024; 17(12):590. https://doi.org/10.3390/a17120590

Chicago/Turabian Style

Kawano, Yuta, Koichi Kobayashi, and Yuh Yamashita. 2024. "Linear Matrix Inequality-Based Design of Structured Sparse Feedback Controllers for Sensor and Actuator Networks" Algorithms 17, no. 12: 590. https://doi.org/10.3390/a17120590

APA Style

Kawano, Y., Kobayashi, K., & Yamashita, Y. (2024). Linear Matrix Inequality-Based Design of Structured Sparse Feedback Controllers for Sensor and Actuator Networks. Algorithms, 17(12), 590. https://doi.org/10.3390/a17120590

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