Dynamic edge event‐triggered consensus for one‐sided Lipschitz multiagent systems with disturbances

Abstract

This paper studies the consensus problem for one-sided Lipschitz (OSL) multiagent systems (MASs) affected by bounded disturbances via dynamic edge event-triggered mechanism (DEETM). Due to disturbances and OSL dynamics in MASs, the event-triggered consensus problem of which is quite more difficult than those of linear or Lipschitz nonlinear networks without disturbances in the previous works. In order to cope with this problem, a novel consensus method is developed based on DEETM and adaptive technique, which contains adaptive gains in both controller and DEETM. Firstly, smooth adaptive items in controller are designed to significantly compensate unknown disturbances, which can guarantee asymptotic consensus. Moreover, DEETM can effectively reduce the communication cost among neighboring agents, which does not cause Zeno behavior. It is worth noticing that the developed method is fully distributed, which relies on neither global information of the communication topology nor the upper and lower bounds of disturbances. Finally, a simulation example is given to demonstrate the effectiveness of theoretical results.

Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems

“…[36] explains that OSL conditions are particular ful in the analysis of impulsive systems, which are systems that experience s changes in their state variables at certain times. [37] shows how one-sided Lipschi ditions can be used to prove stability of a class of nonlinear systems. Finally, [38] p an application of OSL conditions to the analysis and control of mechanical systems Various aspects have motivated the authors to produce the present study.…”

“…[36] explains that OSL condition ful in the analysis of impulsive systems, which are systems th changes in their state variables at certain times. [37] shows how on ditions can be used to prove stability of a class of nonlinear systems an application of OSL conditions to the analysis and control of mec Various aspects have motivated the authors to produce the pre best of the authors' knowledge, the observer design problem has no in the literature. Second, the authors have thought about develop that is applicable to a wide range of systems.…”

Consensus control of nonlinear multi‐agent systems with semi‐Markov switching topology and incremental quadratic constraints

“…Currently, most of the nonlinear functions in nonlinear MASs satisfy the Lipschitz condition (LC), 10‐12 or the one‐sided Lipschitz condition (o‐SLC) 13‐15 . For instance, the problem of consensus for MASs with Lipschitz nonlinearity (LN) was concerned with Reference 16.…”

“…8 Different from the structure of Laplacian matrix in References 7 and 8, the structure of Laplacian matrix is more general in Reference 9, the problem of scaled consensus for the systems with s-MST was studied by Guo et al Currently, most of the nonlinear functions in nonlinear MASs satisfy the Lipschitz condition (LC), [10][11][12] or the one-sided Lipschitz condition (o-SLC). [13][14][15] For instance, the problem of consensus for MASs with Lipschitz nonlinearity (LN) was concerned with Reference 16. Jiang et al addressed the non-fragile H ∞ consensus issue of MASs with LN and ST. 17 The robust control of Lipschitz MASs with uncertainty was considered in Reference 18.…”