Consensus Control of Multi-Agent Systems Under Constraints

Date

2022

Authors

Sun, Yuan

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Shi, Peng
Lim, Cheng Chew

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Thesis

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Abstract

Multi-agent systems (MAS), as they are more effective to perform complex tasks in real-world applications, have been extensively studied in the past ten years. The consensus control problem has emerged as the foundation of MAS, as its theoretical framework is widely applied to achieve cooperative behaviour within a networked system. A distributed consensus control algorithm aims to synchronize all states of agents to a common state by exchanging information with its neighbouring agents in a distributed manner. Whilst the distributed consensus control algorithms have been promising, how to achieve consensus subject to various constraints has not been fully investigated, especially for a class of nonlinear MAS. The primary aim of this thesis is to analyse and design novel consensus control schemes for both linear and nonlinear MAS in the presence of communication, state and input constraints. For the consensus control problem of linear MAS under communication constraints, event-triggered control and integral sliding mode control methods are applied to synthesize a leaderless consensus controller for linear discrete-time MAS. The adaptive backstepping technique is also integrated with the event-triggered control method to derive an effective leaderless consensus control algorithm for nonlinear continuous-time MAS. Furthermore, a novel state transformation function is employed to solve constant and time-varying state constraint problems, so that the adaptive backstepping technique is feasible to formulate a leader-follower consensus control scheme for nonlinear MAS. Moreover, a new quadratic programming (QP) based safe consensus controller is developed to achieve consensus while ensuring safety by considering input constraints for linear MAS. The main contributions of the thesis are threefold. First, the distributed consensus is achieved under communication constraints for linear and nonlinear MAS, respectively. Second, in the presence of state constraints, the proposed leader-follower consensus control protocol guarantees the desired tracking performance for nonlinear MAS. Third, a safe consensus is guaranteed with input constraints embedded in the QP problem for linear MAS. Numerical and practical systems are simulated to verify the proposed control algorithms that reach consensus while considering various constraints.

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School of Electrical and Electronic Engineering

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Thesis (Ph.D.) -- University of Adelaide, School of Electrical and Electronic Engineering, 2022

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This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exceptions. If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals

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