Distributed Control of Nonlinear Systems With Unknown Time-Varying Control Coefficients: A Novel Nussbaum Function Approach

In this article, distributed control of uncertain multiagent systems (MAS) with completely unknown nonlinearities, unknown time-varying control coefficients, and multiple unknown control directions is investigated. First, a new theorem with a series of novel Nussbaum functions are presented, which s...

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Published inIEEE transactions on automatic control Vol. 68; no. 7; pp. 4191 - 4203
Main Authors Liu, Zongcheng, Huang, Jiangshuai, Wen, Changyun, Su, Xiaojie
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Coefficients
Control systems
Global adaptive consensus
Graph theory
Information filters
Multi-agent systems
Multiagent systems
Nonlinear control
Nonlinear systems
Nonlinearity
Solids
Stability analysis
Time varying control
Time-varying systems
Transient analysis
uncertain multiagent systems (MAS)
Uncertainty
unknown nonlinearities
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Abstract In this article, distributed control of uncertain multiagent systems (MAS) with completely unknown nonlinearities, unknown time-varying control coefficients, and multiple unknown control directions is investigated. First, a new theorem with a series of novel Nussbaum functions are presented, which solve the outstanding problem in control of nonlinear systems with unknown time-varying control coefficients and unknown signs. Second, global consensus of MAS with unknown time-varying control coefficients and unknown system nonlinearities under directed graph is first achieved, and the transient tracking performance is also guaranteed. Third, a novel filter is proposed for each agent which does not require a prior knowledge of time derivative of leader. Finally, simulation results show the effectiveness of the proposed control schemes.
AbstractList In this article, distributed control of uncertain multiagent systems (MAS) with completely unknown nonlinearities, unknown time-varying control coefficients, and multiple unknown control directions is investigated. First, a new theorem with a series of novel Nussbaum functions are presented, which solve the outstanding problem in control of nonlinear systems with unknown time-varying control coefficients and unknown signs. Second, global consensus of MAS with unknown time-varying control coefficients and unknown system nonlinearities under directed graph is first achieved, and the transient tracking performance is also guaranteed. Third, a novel filter is proposed for each agent which does not require a prior knowledge of time derivative of leader. Finally, simulation results show the effectiveness of the proposed control schemes.
Author Wen, Changyun
Su, Xiaojie
Huang, Jiangshuai
Liu, Zongcheng
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Snippet In this article, distributed control of uncertain multiagent systems (MAS) with completely unknown nonlinearities, unknown time-varying control coefficients,...
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SubjectTerms Coefficients
Control systems
Global adaptive consensus
Graph theory
Information filters
Multi-agent systems
Multiagent systems
Nonlinear control
Nonlinear systems
Nonlinearity
Solids
Stability analysis
Time varying control
Time-varying systems
Transient analysis
uncertain multiagent systems (MAS)
Uncertainty
unknown nonlinearities
Title Distributed Control of Nonlinear Systems With Unknown Time-Varying Control Coefficients: A Novel Nussbaum Function Approach
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