Finite-time dynamic surface control for multi-agent systems with prescribed performance and unknown control directions

In this paper, the finite-time adaptive fuzzy control method is proposed for nonlinear nonstrict-feedback multi-agent systems (MASs) with unknown control directions. The Nussbaum function is introduced to compensate the influence of unknown control directions. By combining the finite-time stability criterion, an adaptive fuzzy controller is constructed to ensure that systems reach a steady state in a finite time, and the tracking errors of all output signals converge to a small neighbourhood of the origin. By using the Lyapunov finite-time stability theorem, all signals are proved to be semi-global practically finite-time stable. Finally, the effectiveness of the proposed control method is proved through some results of simulation experiments.

[1]  Miel Sharf,et al.  Analysis and Synthesis of MIMO Multi-Agent Systems Using Network Optimization , 2017, IEEE Transactions on Automatic Control.

[2]  Peter Xiaoping Liu,et al.  Adaptive Neural Control of Nonlinear Systems With Unknown Control Directions and Input Dead-Zone , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[3]  Bing Chen,et al.  Adaptive Fuzzy Tracking Control for a Class of MIMO Nonlinear Systems in Nonstrict-Feedback Form , 2015, IEEE Transactions on Cybernetics.

[4]  Long Wang,et al.  Finite-Time Consensus Problems for Networks of Dynamic Agents , 2007, IEEE Transactions on Automatic Control.

[5]  Yongming Li,et al.  Observer-Based Fuzzy Adaptive Finite-Time Containment Control of Nonlinear Multiagent Systems With Input Delay , 2020, IEEE Transactions on Cybernetics.

[6]  Tieshan Li,et al.  Prescribed Performance Consensus of Uncertain Nonlinear Strict-Feedback Systems With Unknown Control Directions , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  Huaguang Zhang,et al.  Fault-Tolerant Control for Stochastic Switched IT2 Fuzzy Uncertain Time-Delayed Nonlinear Systems , 2020, IEEE Transactions on Cybernetics.

[8]  Ying Wu,et al.  Adaptive Fault-Tolerant Tracking Control for Discrete-Time Multiagent Systems via Reinforcement Learning Algorithm , 2020, IEEE Transactions on Cybernetics.

[9]  Hak-Keung Lam,et al.  Event-Based Adaptive Fixed-Time Fuzzy Control for Active Vehicle Suspension Systems With Time-Varying Displacement Constraint , 2021, IEEE Transactions on Fuzzy Systems.

[10]  Yuming Bo,et al.  Distributed non-fragile set-membership filtering for nonlinear systems under fading channels and bias injection attacks , 2021, Int. J. Syst. Sci..

[11]  Frank L. Lewis,et al.  Heterogeneous Multi-Agent Systems: Reduced-Order Synchronization and Geometry , 2016, IEEE Transactions on Automatic Control.

[12]  Jie Ren,et al.  Leader-following consensus of nonlinear singular multi-agent systems under signed digraph , 2020 .

[13]  Jiaxi Chen,et al.  Global Fuzzy Adaptive Consensus Control of Unknown Nonlinear Multiagent Systems , 2020, IEEE Transactions on Fuzzy Systems.

[14]  H. Lam,et al.  Cooperative Fault-Tolerant Control for Networks of Stochastic Nonlinear Systems With Nondifferential Saturation Nonlinearity , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[15]  Renquan Lu,et al.  Finite-Time Consensus Tracking Neural Network FTC of Multi-Agent Systems , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[16]  Eduardo L. Pasiliao,et al.  Finite-Time Cooperative Engagement , 2019, IEEE Transactions on Automatic Control.

[17]  Antonella Ferrara,et al.  A Supervisory Sliding Mode Control Approach for Cooperative Robotic System of Systems , 2015, IEEE Systems Journal.

[18]  Xin-Ping Guan,et al.  Distributed Adaptive Neural Network Output Tracking of Leader-Following High-Order Stochastic Nonlinear Multiagent Systems With Unknown Dead-Zone Input , 2017, IEEE Transactions on Cybernetics.

[19]  Renquan Lu,et al.  Human-in-the-Loop Consensus Control for Nonlinear Multi-Agent Systems With Actuator Faults , 2020, IEEE/CAA Journal of Automatica Sinica.

[20]  Yongduan Song,et al.  Collectively Rotating Formation and Containment Deployment of Multiagent Systems: A Polar Coordinate-Based Finite Time Approach , 2017, IEEE Transactions on Cybernetics.

[21]  Huijun Gao,et al.  Stabilization of Networked Control Systems With a New Delay Characterization , 2008, IEEE Transactions on Automatic Control.

[22]  Hongjing Liang,et al.  Adaptive Dynamic Surface Control Design for Uncertain Nonlinear Strict-Feedback Systems With Unknown Control Direction and Disturbances , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[23]  Huaguang Zhang,et al.  Leader-Following Consensus for a Class of Nonlinear Multiagent Systems Under Event-Triggered and Edge-Event Triggered Mechanisms , 2020, IEEE Transactions on Cybernetics.

[24]  Ziyang Meng,et al.  Cooperative Set Aggregation of Second-Order Multiagent Systems: Approximate Projection and Prescribed Performance , 2020, IEEE Transactions on Cybernetics.

[25]  Qi Zhou,et al.  Observer-Based Event-Triggered Adaptive Decentralized Fuzzy Control for Nonlinear Large-Scale Systems , 2019, IEEE Transactions on Fuzzy Systems.

[26]  Yuli Hu,et al.  A Rotation-Free Wireless Power Transfer System With Stable Output Power and Efficiency for Autonomous Underwater Vehicles , 2019, IEEE Transactions on Power Electronics.

[27]  Guo-Ping Liu,et al.  Admissible consensus for networked singular multi-agent systems with communication delays , 2017, Int. J. Syst. Sci..

[28]  Qing-Long Han,et al.  Consensus control of stochastic multi-agent systems: a survey , 2017, Science China Information Sciences.

[29]  Hak-Keung Lam,et al.  Nonsingular Finite-Time Event-Triggered Fuzzy Control for Large-Scale Nonlinear Systems , 2020, IEEE Transactions on Fuzzy Systems.

[30]  Jing Zhang,et al.  Adaptive Neural Network Finite-Time Output Feedback Control of Quantized Nonlinear Systems , 2018, IEEE Transactions on Cybernetics.

[31]  S. Sitharama Iyengar,et al.  Computing reliability and message delay for Cooperative wireless distributed sensor networks subject to random failures , 2005, IEEE Transactions on Reliability.

[32]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Feedback Stabilization Control for a Class of Switched Nonstrict-Feedback Nonlinear Systems , 2017, IEEE Transactions on Cybernetics.

[33]  Radu-Emil Precup,et al.  Grey Wolf Optimizer Algorithm-Based Tuning of Fuzzy Control Systems With Reduced Parametric Sensitivity , 2017, IEEE Transactions on Industrial Electronics.

[34]  Meng Joo Er,et al.  Distributed Adaptive Fuzzy Control for Output Consensus of Heterogeneous Stochastic Nonlinear Multiagent Systems , 2018, IEEE Transactions on Fuzzy Systems.

[35]  Yan-Wu Wang,et al.  Distributed Control of Nonlinear Multiagent Systems With Unknown and Nonidentical Control Directions via Event-Triggered Communication , 2020, IEEE Transactions on Cybernetics.

[36]  Shaocheng Tong,et al.  Adaptive Fuzzy Prescribed Performance Control of Nontriangular Structure Nonlinear Systems , 2020, IEEE Transactions on Fuzzy Systems.

[37]  Yan Shi,et al.  Event Triggered Adaptive Fuzzy Consensus for Interconnected Switched Multiagent Systems , 2019, IEEE Transactions on Fuzzy Systems.

[38]  Hongjing Liang,et al.  Event-Triggered Fuzzy Bipartite Tracking Control for Network Systems Based on Distributed Reduced-Order Observers , 2021, IEEE Transactions on Fuzzy Systems.

[39]  Dimos V. Dimarogonas,et al.  Multi-Agent Second Order Average Consensus With Prescribed Transient Behavior , 2017, IEEE Transactions on Automatic Control.