Article
Automation & Control Systems
Linzhen Yu, Yungang Liu
Summary: This paper focuses on the leaderless consensus problem with a prescribed convergence rate for n-dimensional multi-agent systems with unknown heterogeneous nonlinearities under a directed graph. By using a time-varying high-gain method called funnel control, a distributed consensus protocol is designed without any global graph information. The protocol achieves the desired consensus with the prescribed convergence rate, and a simulation example is provided to demonstrate its effectiveness.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Renwei Zuo, Yinghui Li, Maolong Lv, Zongcheng Liu
Summary: This paper proposes a new Lyapunov function to study the distributed consensus problem for nonlinear multi-agent systems with asynchronously switched topologies. The design takes into account the detection delay of topology switchings when designing corresponding observers. The novelty lies in the continuity of the Lyapunov function at switching instants and the discontinuity when topology modes and observer modes are matched.
Article
Automation & Control Systems
Chong-Jin Ong, Bonan Hou
Summary: This work presents an approach to achieve output consensus among heterogeneous agents in a multi-agent environment, utilizing the Internal Model Principle and unstable reference systems. By characterizing the maximal constraint admissible invariant set, output consensus can be achieved for certain unstable systems.
Article
Engineering, Mechanical
Shenghui Guo, Renyang You, Choon Ki Ahn
Summary: In this paper, the leader-following consensus problem is investigated for heterogeneous switched nonlinear multi-agent systems with switching topologies. Adaptive observers are developed to estimate the system states and the leader's state, and an adaptive controller is designed to solve the problems regarding switched systems and switching topologies.
NONLINEAR DYNAMICS
(2023)
Article
Automation & Control Systems
Xiaoya Nan, Yuezu Lv, Zhisheng Duan
Summary: This paper presents a novel perspective on fully distributed adaptive protocol design for bipartite consensus under directed communication graphs, revealing it as a PI-gain design approach. Fully distributed observer-based protocols and continuous protocols are proposed to solve the consensus problem of nonlinear multi-agent systems over directed cooperative-antagonistic networks, utilizing neural network approximation and modification of the sign function to tackle unknown nonlinearity and avoid chattering problem. Theoretical analysis and numerical simulations are provided to support the main results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Zhou Xu, Xiaoyang Liu, Jinde Cao, Mei Song
Summary: This paper investigates the fixed-time bipartite consensus of nonlinear multi-agent systems subjected to external disturbances. Under the directed signed networks, several sufficient conditions are proposed to ensure the fixed-time bipartite consensus of MASs with or without leaders. Discontinuous control protocols are developed to achieve fixed-time tracking bipartite consensus of MASs with a leader. Furthermore, the fixed-time leaderless bipartite consensus under directed signed graph is discussed. Two numerical examples are provided to verify the effectiveness of the theoretical results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Engineering, Electrical & Electronic
Fei Li, Gang Wang, Yunfeng Hou, Chaoli Wang, Qingdu Li
Summary: This paper addresses the distributed output feedback consensus problem and proposes a novel algorithm for second-order nonlinear multi-agent systems under a directed topology. The algorithm, based on a high-gain observer, solely relies on the output information of each agent and its neighbors to achieve bounded and practical output consensus in the closed-loop system.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Computer Science, Information Systems
Jingyu Chen, Zhengtao Ding
Summary: This paper addresses the problem of consensus output tracking for multi-agent systems with unknown high-frequency gain signs and directed graph connections. The subsystems can have different dynamics as long as they have the same relative degrees. A new type of Nussbaum gain is introduced to handle adaptive consensus control without knowledge of the high-frequency gains. Adaptive laws and internal models are proposed to handle uncertainties and unknown parameters. An integral Lyapunov function is also introduced to handle the asymmetry of the Laplacian matrix of directed graphs, incorporating the new Nussbaum gain and adaptive internal model in the controller design. The control scheme and adaptive laws are fully distributed, using only relative information from neighboring subsystem outputs. Simulation results demonstrate the effectiveness of the control design, ensuring asymptotic convergence of errors to zero and boundedness of state variables.
Article
Computer Science, Information Systems
Wei Liu, Hongde Dai, Shi Yan, Yahui Qi, Xiuzhen Wu
Summary: This paper investigates the leaderless H-infinity consensus problem of multi-agent systems with higher-order Lipschitz dynamics and external disturbance. By constructing distributed controllers and introducing an appropriate state transformation, the consensus problem is converted to a stability problem, and the effectiveness of the control design is demonstrated through simulation examples.
Article
Automation & Control Systems
Pu Zhang, Qihe Shan, Tieshan Li, C. L. Philip Chen
Summary: This article discusses the recovery of multi-consensus in multi-agent systems when the communication network is attacked. A recovery topology reconstruction controller is designed to ensure the recoverability of the original multi-consensus. The feasibility and validity of the theoretical results are verified through numerical simulations.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Hao Wen, Zixuan Liang, Hexiong Zhou, Baoheng Yao, Zhihua Mao, Lian Lian
Summary: This study presents a distributed adaptive sliding mode consensus protocol (DASMCP) to solve the consensus problem of the high-order heterogeneous closed-loop nonlinear uncertainty multi-agent system without prior knowledge. The proposed adaptive gains adjustment mechanism can decrease the states and input chattering. In addition, the DASMCP is independent of prior knowledge of communication topology and error dynamics, and its finite time convergence bound can be preset. Two simulation examples are shown to verify the performance and the engineering application scenario.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Review
Automation & Control Systems
Lexin Chen, Yongming Li, Shaocheng Tong
Summary: This paper investigates the problem of neural network adaptive consensus output-feedback control for nonlinear multi-agent systems encountering sensor attacks. A NN estimation algorithm is used to estimate the unknown sensor attacks and a novel NN observer is established to estimate the states of the encountered sensor attacks. An adaptive NN consensus control method is proposed under the framework of backstepping control design. Simulation and comparative results demonstrate the effectiveness of the proposed control scheme.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Automation & Control Systems
He Wang, Wei Ren, Wenwu Yu, Dong Zhang
Summary: This paper considers the distributed consensus control problem for disturbed second order multi-agent systems with directed networks, investigating leaderless and tracking cases. Different methods are proposed to solve the leaderless and tracking problems, with simulation examples provided to verify the theoretical results.
Article
Computer Science, Information Systems
Hua Geng, Hongyang Wu, Jingli Miao, Shuai Hou, Zengqiang Chen
Summary: This paper investigates the consensus problem of heterogeneous multi-agent systems under directed topology. Two consensus protocols are proposed based on linear filter, graph theory, and matrix theory. Group consensus can also be solved by adjusting parameters. Theoretical results are illustrated through examples, aiming to establish a more realistic model and provide a method to solve consensus problems in more complex situations.
Article
Automation & Control Systems
Tianya Liu, Andong Sheng, Cui-Qin Ma, Guoqing Qi, Yinya Li
Summary: This paper investigates the consensus tracking control problem for singular multi-agent systems (SMASs) with Lipschitz nonlinearities and unknown disturbances. An extended state observer using only relative output information is introduced and a distributed consensus protocol is proposed. The performance of the protocol is analyzed through matrix analysis, singular system theory, and Lyapunov stability theory. Sufficient conditions for achieving consensus tracking with disturbance rejection in linear and Lipschitz nonlinear SMASs are obtained under directed networks. The paper also presents an equivalent formulation for achieving consensus tracking in SMASs and provides design procedures for gain matrices in the proposed consensus protocols using a linear matrix inequality solver. Simulation examples are included to illustrate the theoretical results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
