Robust Consensus Control for Multiple Euler–Lagrange Systems With External Disturbances Based on Event‐Triggered Communication

ABSTRACT In this article, a novel robust consensus control protocol is proposed for multiple uncertain Euler–Lagrange systems with unknown external disturbances. First, the local adaptive control laws are derived under event‐triggered communication framework, and the robust consensus control problem...

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Vydáno v:International journal of robust and nonlinear control Ročník 35; číslo 6; s. 2170 - 2183
Hlavní autoři: Shi, Zhengqing, Li, Bo, Zhou, Chuan, Guo, Jian
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken, USA John Wiley & Sons, Inc 01.04.2025
Wiley Subscription Services, Inc
Témata:
Adaptive control
Communication
Control systems
Control theory
Cost function
Differential games
Disturbances
Dynamic programming
Equivalence
Euler–Lagrange system
event‐triggered communication
Game theory
Optimal control
robust consensus control
Robust control
State estimation
Strategy
zero‐sum differential game
ISSN:1049-8923, 1099-1239
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Shrnutí:ABSTRACT In this article, a novel robust consensus control protocol is proposed for multiple uncertain Euler–Lagrange systems with unknown external disturbances. First, the local adaptive control laws are derived under event‐triggered communication framework, and the robust consensus control problem is transformed into an equivalent optimal control problem with disturbance rejection. Event‐triggered mechanisms and distributed state estimators are designed by utilizing only triggered exchanging states, by which continuous monitoring neighbors' states is avoided and communication burdens are effectively reduced. Second, the Hamilton–Jacobi–Isaac equations are formulated based on zero‐sum differential game theory, and adaptive dynamic programming methods are employed to approximate the Nash‐equivalent solutions, by which the local robust optimal control laws are derived to eliminate the disturbance effects and improve the robustness of the proposed strategy. It is strictly proved that all signals in the closed‐loop systems are uniformly ultimately bounded and the cost functions are minimized. Finally, two practical examples are presented to validate the proposed strategy.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.7786