Adaptive output feedback event-triggered consensus control for networked reaction-diffusion PDE systems

Abstract

This paper explores the adaptive output feedback event-triggered consensus control of a network of parabolic systems modelled by partial differential equations (PDEs). An infinite-dimensional state observer is established to estimate the state based on the relative output information. On the basis of the adaptive state observer, two novel distributed event-triggered controllers are proposed to address the leaderless consensus and leader-follower consensus problem. Based on the Lyapunov method and PDE theory, it is shown that the asymptotic consensus control can be achieved. Compared to the related works, a distinctive feature of the designed event-triggered consensus protocols is fully distributed which does not demand any global information of the graph. In addition, the absence of Zeno behaviour is demonstrated. Lastly, the obtained results are demonstrated using two simulations.

KEYWORDS:

• Event-triggered control
• distributed adaptive control
• consensus
• networked parabolic PDE systems

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 62373176 and Grant 61973146, in part by the Applied Basic Research Program in Liaoning Province under Grant 2022JH2/101300276, in part by the Key Project of the Educational Department of Liaoning Province under Grant JYTZD2023084, in part by the Taishan Scholar Project of Shandong Province of China under Grant tsqn201909097, and in part by the Equipment Pre-Research Joint Fund Project of the Ministry of Education under Grant 8091B042321.