Event-triggered adaptive consensus tracking control for non-affine multi-agent systems

Abstract This paper presents the event-triggered consensus control problem for a class of multi-agent systems (MASs) in the non-affine form. An error-transformation-based design method is presented in the non-affine MASs. The radial basis function neural networks (RBFNNs) are used to approximate the unknown nonlinear functions. The dynamic surface control (DSC) technique is adopted to obtain parameters of the virtual controller through a first-order filter, which can make the calculation easier. An event-triggered control strategy is proposed to reduce communication frequency. Furthermore, it is further shown that the consensus tracking errors are semi-globally uniformly ultimately bounded (SGUUB). Finally, simulation results illustrate the effectiveness of the designed controller.

[1]  Renquan Lu,et al.  Finite-Horizon $H_{\infty}$ State Estimation for Periodic Neural Networks Over Fading Channels , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[2]  Qing Zhu,et al.  Adaptive neural control of non-affine pure-feedback non-linear systems with input nonlinearity and perturbed uncertainties , 2012, Int. J. Syst. Sci..

[3]  Shaocheng Tong,et al.  Adaptive Fuzzy Inverse Optimal Control for Uncertain Strict-Feedback Nonlinear Systems , 2020, IEEE Transactions on Fuzzy Systems.

[4]  A. Jadbabaie,et al.  Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization , 2010, IEEE Transactions on Automatic Control.

[5]  Peng Li,et al.  Input/output-to-state stability of impulsive switched systems , 2018, Syst. Control. Lett..

[6]  Bohui Wang,et al.  Robust adaptive consensus tracking for higher-order multi-agent uncertain systems with nonlinear dynamics via distributed intermittent communication protocol , 2016 .

[7]  Renquan Lu,et al.  Event-Triggered Consensus Control for Multi-Agent Systems Against False Data-Injection Attacks , 2019, IEEE Transactions on Cybernetics.

[8]  Hongyi Li,et al.  Event-Triggered Control for Multiagent Systems With Sensor Faults and Input Saturation , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[9]  Jun Yang,et al.  Adaptive Fixed-Time Control of Error-Constrained Pure-Feedback Interconnected Nonlinear Systems , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[10]  Dong Yue,et al.  Relaxed Control Design of Discrete-Time Takagi–Sugeno Fuzzy Systems: An Event-Triggered Real-Time Scheduling Approach , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[11]  Hongjing Liang,et al.  Observer-Based Event-Triggered Fuzzy Adaptive Bipartite Containment Control of Multiagent Systems With Input Quantization , 2019, IEEE Transactions on Fuzzy Systems.

[12]  Sarangapani Jagannathan,et al.  Output-Constrained Control of Nonaffine Multiagent Systems With Partially Unknown Control Directions , 2019, IEEE Transactions on Automatic Control.

[13]  Sung Jin Yoo,et al.  Distributed Consensus Tracking for Multiple Uncertain Nonlinear Strict-Feedback Systems Under a Directed Graph , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[14]  Dong Yue,et al.  Relaxed Real-Time Scheduling Stabilization of Discrete-Time Takagi–Sugeno Fuzzy Systems via An Alterable-Weights-Based Ranking Switching Mechanism , 2018, IEEE Transactions on Fuzzy Systems.

[15]  Hongjing Liang,et al.  Event-Triggered Fault Detection and Isolation of Discrete-Time Systems Based on Geometric Technique , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

[16]  Hongjing Liang,et al.  Containment Control of Semi-Markovian Multiagent Systems With Switching Topologies , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[17]  Qing-Long Han,et al.  A survey on recent advances in distributed sampled-data cooperative control of multi-agent systems , 2018, Neurocomputing.

[18]  Hongye Su,et al.  Event-Triggered Adaptive Control for a Class of Uncertain Nonlinear Systems , 2017, IEEE Transactions on Automatic Control.

[19]  Gang Chen,et al.  Distributed adaptive tracking control of non-affine nonlinear multi-agent systems , 2016, 2016 Chinese Control and Decision Conference (CCDC).

[20]  Hongjing Liang,et al.  Neural-Based Decentralized Adaptive Finite-Time Control for Nonlinear Large-Scale Systems With Time-Varying Output Constraints , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[21]  Renquan Lu,et al.  Observer-Based Impulsive Synchronization for Neural Networks With Uncertain Exchanging Information , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[22]  Tingwen Huang,et al.  Persistence of delayed cooperative models: Impulsive control method , 2019, Appl. Math. Comput..

[23]  Yangzhou Chen,et al.  Partial Stability Approach to Consensus Problem of Linear Multi-agent Systems , 2014 .

[24]  Renquan Lu,et al.  Quasi-Synchronization of Time Delay Markovian Jump Neural Networks With Impulsive-Driven Transmission and Fading Channels , 2020, IEEE Transactions on Cybernetics.

[25]  Wei He,et al.  Adaptive neural control of unknown non-affine nonlinear systems with input deadzone and unknown disturbance , 2019 .

[26]  Hak-Keung Lam,et al.  Fault Detection for Fuzzy Semi-Markov Jump Systems Based on Interval Type-2 Fuzzy Approach , 2020, IEEE Transactions on Fuzzy Systems.

[27]  Qi Zhou,et al.  Event-Triggered Fuzzy Adaptive Containment Control for Nonlinear Multiagent Systems With Unknown Bouc–Wen Hysteresis Input , 2021, IEEE Transactions on Fuzzy Systems.

[28]  Yongguang Yu,et al.  Robust consensus of fractional multi-agent systems with external disturbances , 2016, Neurocomputing.

[29]  Jinde Cao,et al.  Reliable Event-Triggered Asynchronous Extended Passive Control for Semi-Markov Jump Fuzzy Systems and Its Application , 2020, IEEE Transactions on Fuzzy Systems.

[30]  R. Murray,et al.  Consensus protocols for networks of dynamic agents , 2003, Proceedings of the 2003 American Control Conference, 2003..

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

[32]  Shaocheng Tong,et al.  Adaptive Neural Network Finite-Time Control for Multi-Input and Multi-Output Nonlinear Systems With Positive Powers of Odd Rational Numbers , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[33]  Gang Feng,et al.  Distributed event-triggered control of multi-agent systems with combinational measurements , 2013, Autom..

[34]  Tieshan Li,et al.  Prescribed Performance Adaptive Fuzzy Containment Control for Nonlinear Multiagent Systems Using Disturbance Observer , 2020, IEEE Transactions on Cybernetics.

[35]  Hongjing Liang,et al.  Adaptive Event-Triggered Fault Detection Scheme for Semi-Markovian Jump Systems With Output Quantization , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[36]  Derong Liu,et al.  Relaxed Stability Criteria for Neural Networks With Time-Varying Delay Using Extended Secondary Delay Partitioning and Equivalent Reciprocal Convex Combination Techniques , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[37]  Lihua Xie,et al.  Stability of continuous-time positive switched linear systems: A weak common copositive Lyapunov functions approach , 2018, Autom..

[38]  Yang Li,et al.  A generalized indirect adaptive neural networks backstepping control procedure for a class of non-affine nonlinear systems with pure-feedback prototype , 2013, Neurocomputing.

[39]  Frank L. Lewis,et al.  Lyapunov, Adaptive, and Optimal Design Techniques for Cooperative Systems on Directed Communication Graphs , 2012, IEEE Transactions on Industrial Electronics.