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Ghotb H, Siahi M, Moarefian pour A. Developing a Design of Distributed Sliding mode Observers for Nonlinear Systems with Time – Delay and Applying uncertainty. JoC 2023; 16 (4) :85-98
URL: http://joc.kntu.ac.ir/article-1-932-en.html
Developing a Design of Distributed Sliding mode Observers for Nonlinear Systems with Time – Delay and Applying uncertainty
Hajar Ghotb1 , Mehdi Siahi * 1, Ali Moarefian pour1
1- Faculty of Mechanics, Electrical power and computer, Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract:   (1997 Views)
This paper propounds a distributed observer design for a class of nonlinear systems with time delays and applying uncertainty in an undirected network. In particular, each distributed observer has availability, to partial output as it communicates with its neighboring observers through consensus protocols defined on the undirected network. The network includes M local observers where adjacent observers transmit and receive data through a delayed telecommunication graph network with uncertainty. The design method is based on Lipschitz condition of nonlinear terms. Appropriate selection of Lyapunov functions is created, and the Jensen inequality applied in undirected network. Also, by the design algorithm, the necessary and sufficient conditions for the design of parameters are defined so as to stabilize the error dynamics. Finally, numerical simulations are provided to contrast the effectiveness of the proposed method.
Keywords: Distributed sliding mode observers, Graph theory, Non-linear system, Time delay, Uncertainty
Full-Text [PDF 904 kb]   (560 Downloads)    
Type of Article: Research paper | Subject: Special
Received: 2022/04/10 | Accepted: 2023/01/10 | ePublished ahead of print: 2023/01/24 | Published: 2024/02/20
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