Open AccessOptimal output anti‐synchronisation of cooperative‐competitive multi‐agent systems via distributed observer
Author(s) -
Wu Yanzhi,
Zhao Yiyi,
Hu Jiangping
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5590
Subject(s) - control theory (sociology) , observer (physics) , computer science , state observer , algebraic riccati equation , lyapunov function , convergence (economics) , mathematical optimization , multi agent system , riccati equation , mathematics , nonlinear system , differential equation , control (management) , physics , quantum mechanics , artificial intelligence , mathematical analysis , economic growth , economics
This study considers an optimal output anti‐synchronisation problem for linear multi‐agent systems with non‐identical dynamics and antagonistic interactions. It is assumed that the agents are non‐introspective, i.e. they cannot get their own states or outputs, and can only get a linear combination of relative outputs in the neighbourhood. First, a state transformation is made, which aims at reducing the dimension of the model underlying the output anti‐synchronisation errors by removing redundant modes that have no effect on the output anti‐synchronisation errors. Then, optimal state feedback controllers are proposed for agents to realise the output anti‐synchronisation by constructing discounted performance functions and by solving the discounted algebraic Riccati equation. Moreover, by using an iterative technique, an offline algorithm is provided to solve the linear quadratic tracking problem. In addition, a distributed node‐based adaptive observer is proposed to produce an estimate of the state with only relative output information of neighbouring agents by utilising a high‐gain approach. The convergence of the proposed adaptive observer is analysed with the help of a Lyapunov function method. Finally, numerical simulations are carried out to demonstrate the effectiveness of the proposed approach.