Finite-time consensus of nonlinear multi-agent system with prescribed performance

Li, Xiaolei; Luo, Xiaoyuan; Wang, Jian‐Ge; Guan, Xinping

doi:10.1007/s11071-017-4020-1

Cited by 47 publications

(37 citation statements)

References 29 publications

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“…where 21 i , and T 22 i are all n + 1 square matrixes. (T 11 i ) −1 is calculated by the inductive algorithm as Step 1: 1 T 11 i = 1 and…”

Section: System Description and Preliminariesmentioning

confidence: 99%

“…To realize finite-time prescribed performance control (FTPPC), there have been several FTPPC schemes based on a finite-time performance function (FTPF), which is simpler and more flexible than finite-time control approaches using PPC and finite-time stability theory. 21,22 An FTPF was first proposed, 23 which is smooth and converges to a fixed value at pre-defined time. Based on the developed FTPF, many adaptive finite-time controllers were constructed.…”

Section: Introductionmentioning

confidence: 99%

“…So it is not only more applicable but also converges faster than the PFs. [15][16][17][19][20][21][22][23][24][25][26] Besides, the proposed function has the property of finite-time convergence, which is an improvement on the PFs. 27,28 2.…”

Section: Introductionmentioning

confidence: 99%

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Event‐triggered adaptive finite‐time prescribed performance tracking control for uncertain nonlinear systems

Liu

Wang

et al. 2020

Intl J Robust & Nonlinear

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This article addresses the problem of adaptive finite-time tracking control for unknown nonlinear systems based on event-triggered and prescribed performance control. For the first time, a new adjustable finite-time performance function is developed, whose parameters are adjusted online with the change of tracking errors so that it converges faster. Besides, a novel event-triggered control method is introduced to switch smoothly between the fixed and relative threshold strategies. Finally, an adaptive finite-time tracking controller is constructed, which ensures the boundness of all the signals in the closed-loop system and elimination of the Zeno behavior. Simultaneously, the output tracking error falls in a fixed region at pre-defined finite time.

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“…where 21 i , and T 22 i are all n + 1 square matrixes. (T 11 i ) −1 is calculated by the inductive algorithm as Step 1: 1 T 11 i = 1 and…”

Section: System Description and Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Event‐triggered adaptive finite‐time prescribed performance tracking control for uncertain nonlinear systems

Liu

Wang

et al. 2020

Intl J Robust & Nonlinear

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“…Furthermore, the containment control of a class of nonaffine pure-feedback multi-agent was addressed in [27], where a distributed neural adaptive control strategy was proposed. Moreover, the finite-time consensus tracking control of a class of nonlinear multi-agent systems with prescribed performance was studied in [28], where the error constrained control was applied to obtain satisfactory control performances. In addition, the finitetime control problems of Markov jump systems and nontriangular stochastic nonlinear systems are ananlyzed in [29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

“…With the help of the differential midvalue theorem, the nonaffine functions of multi-agent systems can be decomposed into a strict-feedback form. Therefore, the model considered in this paper is more versatile than [26][27][28]. Furthermore, the nonaffine functions and uncertain nonlinearities are completely unknown.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fuzzy Finite-Time Tracking Control of Uncertain Non-Affine Multi-Agent Systems With Input Quantization

Fan

Bai

et al. 2020

IEEE Access

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In this paper, the finite-time tracking control problem of a class of multi-agent systems with nonaffine functions and uncertain nonlinearity is investigated, which is different from the existing on high-order multi-agent systems with pure feedback forms. The multi-agent systems considered in this paper, moreover, the nonaffine functions and uncertain nonlinearities are completely unknown, and the input of each follower agent is quantized through a hysteresis quantizer. Based on the help of the fuzzy logic systems approximator, an adaptive fuzzy finite-time tracking control protocol with adaptive update laws is presented by the backstepping technique. On the basis of the finite-time stability strategy and Bhat and Bernstein theorem, the finite-time stability of designed control protocol is fully analyzed. Under the proposed control protocol, it is indicated that the tracking error of each follower agent can press on a small neighborhood in a finite time. Finally, the effectiveness of designed control protocol in this paper is analyzed by numerical examples. INDEX TERMS Finite-time tracking control, uncertain nonaffine mutli-agent systems, fuzzy logic systems, input quantization.

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Adaptive event‐triggered consensus control of multi‐agent systems with prescribed performance and input quantization

Wang

MaHui

Liang

2021

Adaptive Control & Signal

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Summary This paper focuses on the adaptive fuzzy event‐triggered consensus control problem for multi‐agent systems (MAS) with prescribed performance and input quantization. Based on a prescribed performance function and an input quantization decomposition method, a new adaptive fuzzy event‐triggered consensus protocol is presented. The instances in the event‐triggered mechanism are triggered only when the event‐triggered error exceeds a specified threshold, which can save limited communication resources. It is demonstrated that the event‐triggered control protocol ensures that all signals in the MAS are semi‐globally uniformly ultimately bounded. As a result, the consensus tracking errors converge to prescribed limits. Finally, simulation examples are provided to validate effectiveness of the proposed event‐triggered control methods.

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Finite-time consensus of nonlinear multi-agent system with prescribed performance

Cited by 47 publications

References 29 publications

Event‐triggered adaptive finite‐time prescribed performance tracking control for uncertain nonlinear systems

Event‐triggered adaptive finite‐time prescribed performance tracking control for uncertain nonlinear systems

Adaptive Fuzzy Finite-Time Tracking Control of Uncertain Non-Affine Multi-Agent Systems With Input Quantization

Adaptive event‐triggered consensus control of multi‐agent systems with prescribed performance and input quantization

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