Observer-Based PID Control Protocol of Positive Multi-Agent Systems

Xiaogang Yang, Mengxing Huang (), Yuanyuan Wu and Siling Feng
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Xiaogang Yang: School of Information and Communication Engineering, Hainan University, Haikou 570228, China
Mengxing Huang: School of Information and Communication Engineering, Hainan University, Haikou 570228, China
Yuanyuan Wu: School of Information and Communication Engineering, Hainan University, Haikou 570228, China
Siling Feng: School of Information and Communication Engineering, Hainan University, Haikou 570228, China

Mathematics, 2023, vol. 11, issue 2, 1-23

Abstract: This paper proposes the observer-based proportional-integral-derivative control of positive multi-agent systems. First, a positive observer is constructed for the considered multi-agent systems in terms of a matrix decomposition approach. Then, a novel proportional-integral-derivative protocol framework is proposed based on an improved observer. By using copositive Lyapunov function, the positivity and consensus of the multi-agent systems are achieved. The corresponding observer and control protocol gain matrices are designed in terms of linear programming. Moreover, the proposed design is developed for heterogeneous positive multi-agent systems. The main contributions of this paper include the following: (i) A positive observer is constructed to estimate the states of positive multi-agent systems; (ii) A novel observer-based proportional-integral-derivative protocol is designed to handle the consensus problem of positive multi-agent systems; and (iii) The presented conditions are solvable in terms of linear programming and the gain matrices can be constructed based on a matrix decomposition technology. Finally, two illustrative examples are provided to verify the effectiveness of the design.

Keywords: proportional-integral-derivative control; positive multi-agent systems; positive observer; linear programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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