Robust distributed consensus tracking control for high‐order uncertain nonlinear MASs with directed topologies

2019 ◽  
Vol 22 (6) ◽  
pp. 2558-2568 ◽  
Author(s):  
Jian Liu ◽  
Yao Yu ◽  
Qing Wang ◽  
Changyin Sun
Keyword(s):  
Tracking Control ◽  
High Order ◽  
Distributed Consensus ◽  
Consensus Tracking ◽  
Directed Topologies

scholarly journals Adaptive Fuzzy Consensus Tracking Control for Nonlinear Multiagent Systems with Time-Varying Delays and Constraints

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Jie Lan ◽  
Tongyu Xu
Keyword(s):  
Multiagent Systems ◽  
Tracking Control ◽  
Tracking Error ◽  
Time Varying ◽  
Feedback Systems ◽  
Distributed Consensus ◽  
Fuzzy Logic Systems ◽  
State Time ◽  
Adaptive Fuzzy ◽  
Consensus Tracking

This paper proposes an adaptive fuzzy distributed consensus tracking control scheme for a class of uncertain nonlinear dynamic multiagent systems (MASs) with state time-varying delays and state time-varying constraints. The existing controllers with Lyapunov–Krasovskii functions (LKFs) were not suitable to address time-varying delays and time-varying constraints in nonlinear MASs simultaneously. State constraints further increase the difficulty of controller design and stability analysis, especially for nonstrict feedback systems. Fuzzy logic systems (FLSs) tackle the approximation of unknown dynamics functions and parameters. Especially when the distributed consensus tracking error is infinitely close to the origin, although there is no singular value, it would lead to the rapid growth of control rate or uncontrollability. Constructing appropriate piecewise functions can effectively avoid the above occurrence and accelerate convergence. Based on Lyapunov stability theory and algebraic graph theory, the constructed tracking control can ensure states within defined time-varying constraint bounds and eliminate the influence of time delays. All signals in closed-loop systems can be guaranteed semiglobally uniformly ultimately bounded (SUUB). Finally, the validity of the theoretical method is verified by the simulation.

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