Finite-Time Consensus and Tracking Control of A Class of Nonlinear Multiagent Systems

Li, Zhenxing; Ji, Haibo

doi:10.1109/tac.2018.2845677

Cited by 75 publications

(34 citation statements)

References 34 publications

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“…In this subsection, we first consider the output constraints case. Inspired by the backstepping design scheme based on adding a power integrator technique from the literatures, [10][11][12][26][27][28][29] we designed a proper configuration method of the powers; using the EBF, a distributed finite-time output consensus tracking controller is proposed for the nonlinear subsystem (1) that satisfy the asymmetric output constraints (8). The design objectives presented in Section 2 are solved.…”

Section: Design Of Distributed Finite-time Output Consensus Tracking mentioning

confidence: 99%

Distributed finite‐time output consensus tracking for a class of high‐order nonlinear multiagent systems with the powers of positive odd rational numbers and output constraints

Liu

Wang

Ding

2020

Intl J Robust & Nonlinear

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This article considers the distributed finite-time output consensus tracking problem for a class of high-order nonlinear multiagent systems with the powers of positive odd rational numbers and output constraints. First, since the finite-time tracking design method for a single system with the powers of positive odd rational numbers cannot be extended to the finite-time consensus tracking for multiagent systems, an especial configuration method of the powers is constructed. Second, a new exponential brake function (EBF) that purely depends on the outputs is proposed to address the asymmetric output constraints directly. By adjusting a related parameter, the large converted value can be avoided when the output approaches the constrained boundaries, which may reduce the control input over a large output scale. Third, given some reasonable assumptions, a distributed finite-time output consensus tracking controller is proposed to guarantee that the tracking error converges to an adjustable small region around the origin in a finite time and that the output constraints of all subsystems are not violated. The result with output constraints can also be extended to the case without output constraints. Finally, simulation verifications also confirm the benefits and effectiveness of the proposed control methods.

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Section: Design Of Distributed Finite-time Output Consensus Tracking mentioning

confidence: 99%

Distributed finite‐time output consensus tracking for a class of high‐order nonlinear multiagent systems with the powers of positive odd rational numbers and output constraints

Liu

Wang

Ding

2020

Intl J Robust & Nonlinear

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“…The adaptive tracking control for nonlinear MASs was investigated in the work of Feng and Zheng . The finite‐time consensus and tracking protocols were presented for strict‐feedback nonlinear MASs in the work of Li and Ji . By the sliding mode control method, the consensus tracking problem of the second‐order nonlinear MAS was developed in the work of Qin et al What these references have in common is that they do not involve the saturation control of nonlinear MASs.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with the existing results, the contributions of this paper include the following aspects. (1) Most papers studied nonlinear systems with time delay or input saturation or neither of them . However, in this paper, the object under study is extended to the nonlinear system in strict‐feedback form with both input saturation and time delay.…”

Section: Introductionmentioning

confidence: 99%

“…(1) Most papers studied nonlinear systems with time delay or input saturation or neither of them. 3,5,15,[18][19][20][21] However, in this paper, the object under study is extended to the nonlinear system in strict-feedback form with both input saturation and time delay. (2) The static gain control technique and the hyperbolic tangent function are utilized to design the controllers, which is simpler than the backstepping method used in the work of Zhao et al 19 (3) Only the state feedback problem was considered by the backstepping method in the work of Yang et al, 24 but in this paper, both the state feedback problem and the output feedback problem are considered by the static gain control technique.…”

Section: Introductionmentioning

confidence: 99%

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Tracking control for nonlinear time‐delay multiagent systems with input saturation

Duan

Zhang

Kong

et al. 2019

Adaptive Control & Signal

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Summary In this paper, the tracking control problem for a class of nonlinear time‐delay multiagent systems with input saturation is considered. The nonlinear dynamics are dominated by strict‐feedback form and satisfy Lipschitz conditions with constant gains. First, it indicated that the tracking control problem is equivalent to a general bound problem of high‐dimensional multivariable systems. Second, an ingenious state transformation is utilized to change the bound problem into the parameter design problem. Third, by the static gain control technique and the hyperbolic tangent function, both state feedback and output feedback controllers are built such that all signals of the closed‐loop systems are globally bounded, and the tracking errors between the followers and the leader can converge to a small neighborhood around the origin by appropriately selecting parameters. Finally, an example is shown to verify the feasibility of our results.

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“…Motivated by the mentioned observations above, this study investigates the finite-time adaptive coordination stabilization problem for unknown nonlinear leaderless multi-agent systems, where the unknown dead zone nonlinear exists in the output channel. Compared with the existing consensus works [37], [38], [47]- [49], the main contributions of this paper are listed below.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Adaptive Fuzzy Consensus Stabilization for Unknown Nonlinear Leaderless Multi-Agent Systems With Unknown Output Dead-Zone

et al. 2019

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In this paper, the finite-time adaptive consensus stabilization is investigated for unknown nonlinear leaderless multi-agent systems with unknown output dead-zone. Different from the previous results on the multi-agent systems with unknown dead-zone, the dead-zone nonlinear is researched in the output channel. By using the recursive backstepping design method and the universal approximation ability of fuzzy logic systems, a local controller for each follower is constructed. Meanwhile, a Lyapunov-based logic switching rule is applied to handle the unknown control gain problems aroused by the output dead-zone nonlinearities. It is, thus, shown that the established adaptive control protocol can assure the finite-time state synchronization of each node. Besides, the state synchronization error between any adjacent followers also converges to a small region of zero when time tends to T 0. Finally, the two simulations are conducted to further verify our theoretical results. INDEX TERMS Multi-agent systems, finite-time stability, synchronization tracking, adaptive backstepping, unknown output dead-zone.

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Finite-Time Consensus and Tracking Control of A Class of Nonlinear Multiagent Systems

Cited by 75 publications

References 34 publications

Distributed finite‐time output consensus tracking for a class of high‐order nonlinear multiagent systems with the powers of positive odd rational numbers and output constraints

Distributed finite‐time output consensus tracking for a class of high‐order nonlinear multiagent systems with the powers of positive odd rational numbers and output constraints

Tracking control for nonlinear time‐delay multiagent systems with input saturation

Finite-Time Adaptive Fuzzy Consensus Stabilization for Unknown Nonlinear Leaderless Multi-Agent Systems With Unknown Output Dead-Zone

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