Event-triggered consensus strategy for uncertain topological fractional-order multiagent systems based on Takagi-Sugeno fuzzy models

Abstract This article investigates the event-triggered consensus strategy (ETCS) for uncertain topological fractional-order multiagent systems based on Takagi-Sugeno fuzzy models. First, a novel distributed ETCS, in which the event generator only depends on the information from neighboring agents at event-triggering instants, is designed to reduce the frequency of information transmission among all agents and to ensure a positive lower bound on the interval between any two event-triggering instants for all agents. Then, by applying the fractional Lyapunov method and the designed ETCS, the consensus problem for fractional-order multiagent systems is handled with less waste of system resources compared to the previous related works. According to the proposed consensus criteria, the Zeno behavior is precluded for ETCS. Finally, numerical simulations are given to demonstrate the effectiveness of the designed event-triggered control algorithm.

[1]  Seok-Beom Roh,et al.  Parameter estimation of fuzzy controller and its application to inverted pendulum , 2004, Eng. Appl. Artif. Intell..

[2]  Jinde Cao,et al.  Lyapunov Stability for Impulsive Systems via Event-Triggered Impulsive Control , 2020, IEEE Transactions on Automatic Control.

[3]  Jun Wang,et al.  Non-fragile memory filtering of T-S fuzzy delayed neural networks based on switched fuzzy sampled-data control , 2020, Fuzzy Sets Syst..

[4]  Fei Wang,et al.  Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control , 2017, Int. J. Syst. Sci..

[5]  Radu-Emil Precup,et al.  Stable fuzzy logic control of a general class of chaotic systems , 2014, Neural Computing and Applications.

[6]  Chen Peng,et al.  Finite-time containment control for nonlinear multi-agent systems with external disturbances , 2020, Inf. Sci..

[7]  Yong-Yan Cao,et al.  Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models , 2001, Fuzzy Sets Syst..

[8]  Yongguang Yu,et al.  Consensus of fractional multi-agent systems by distributed event-triggered strategy , 2018, Nonlinear Dynamics.

[9]  Liang Zhao,et al.  Fuzzy adaptive fault-tolerant control of multi-agent systems with interactions between physical coupling graph and communication graph , 2020, Fuzzy Sets Syst..

[10]  Bin Cheng,et al.  Fully Distributed Event-Triggered Protocols for Linear Multiagent Networks , 2018, IEEE Transactions on Automatic Control.

[11]  Yingnan Pan,et al.  Observer-Based Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Multi-Agent Systems with Dead-Zone Input , 2020, Appl. Math. Comput..

[12]  Dumitru Baleanu,et al.  A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model , 2020, Appl. Math. Comput..

[13]  Housheng Su,et al.  Leader-following consensus of nonlinear fractional-order multi-agent systems over directed networks , 2019, Nonlinear Dynamics.

[14]  Wei Wang,et al.  Observer-Based Adaptive Fuzzy Containment Control for Multiple Uncertain Nonlinear Systems , 2019, IEEE Transactions on Fuzzy Systems.

[15]  Wei Hu,et al.  Distributed consensus tracking of unknown nonlinear chaotic delayed fractional-order multi-agent systems with external disturbances based on ABC algorithm , 2019, Commun. Nonlinear Sci. Numer. Simul..

[16]  Qi Dong,et al.  Dynamic leader-following consensus for asynchronous sampled-data multi-agent systems under switching topology , 2020, Inf. Sci..

[17]  Zhong-Ping Jiang,et al.  Event-Based Leader-following Consensus of Multi-Agent Systems with Input Time Delay , 2015, IEEE Transactions on Automatic Control.

[18]  Ahmed Rahmani,et al.  Parameters estimation using mABC algorithm applied to distributed tracking control of unknown nonlinear fractional-order multi-agent systems , 2019, Commun. Nonlinear Sci. Numer. Simul..

[19]  Zsolt Csaba Johanyák,et al.  Surrogate Model based Optimization of Traffic Lights Cycles and Green Period Ratios using Microscopic Simulation and Fuzzy Rule Interpolation , 2018 .

[20]  Dusan M. Stipanovic,et al.  Coordination and collision avoidance for Lagrangian systems with disturbances , 2010, Appl. Math. Comput..

[21]  Yao Yu,et al.  Fixed-time consensus of multi-agent systems with input delay and uncertain disturbances via event-triggered control , 2019, Inf. Sci..

[22]  Timothy W. McLain,et al.  Coordinated target assignment and intercept for unmanned air vehicles , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[23]  Wenyong Wang,et al.  Event-triggered passive control for Markovian jump discrete-time systems with incomplete transition probability and unreliable channels , 2019, J. Frankl. Inst..

[24]  Okyay Kaynak,et al.  A novel general type-2 fuzzy controller for fractional-order multi-agent systems under unknown time-varying topology , 2019, J. Frankl. Inst..

[25]  Wenqian Xie,et al.  Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy , 2020, International Journal of Robust and Nonlinear Control.

[26]  Junmin Li,et al.  T-S fuzzy model-based adaptive repetitive consensus control for second-order multi-agent systems with imprecise communication topology structure , 2019, Neurocomputing.

[27]  Junmin Li,et al.  Distributed fuzzy consensus of uncertain topology structure multi-agent systems with non-identical partially unknown control directions , 2019, Appl. Math. Comput..

[28]  Jinde Cao,et al.  Event-triggered bipartite consensus of multi-agent systems with switching partial couplings and topologies , 2020, Inf. Sci..

[29]  Levente Kovács,et al.  Controller Design Solutions for Long Distance Telesurgical Applications , 2011 .

[30]  Junmin Li,et al.  Distributed Adaptive Iterative Learning Consensus for Uncertain Topological Multi-agent Systems Based on T–S Fuzzy Models , 2018, Int. J. Fuzzy Syst..

[31]  Shouming Zhong,et al.  Consensus of fractional-order multi-agent systems with uncertain topological structure: A Takagi-Sugeno fuzzy event-triggered control strategy , 2020, Fuzzy Sets Syst..

[32]  Jinde Cao,et al.  Consensus of Leader-Following Multiagent Systems: A Distributed Event-Triggered Impulsive Control Strategy , 2019, IEEE Transactions on Cybernetics.

[33]  Radu-Emil Precup,et al.  Lorenz System Stabilization Using Fuzzy Controllers , 2007, Int. J. Comput. Commun. Control.

[34]  Xinzhi Liu,et al.  Distributed state estimation for stochastic discrete-time sensor networks with redundant channels , 2019, Appl. Math. Comput..

[35]  Jun Wang,et al.  Reliable asynchronous sampled-data filtering of T-S fuzzy uncertain delayed neural networks with stochastic switched topologies , 2020, Fuzzy Sets Syst..

[36]  Taotao Hu,et al.  Leader-following consensus of fractional-order multi-agent systems based on event-triggered control , 2020 .

[37]  Wenhai Qi,et al.  Finite-time stabilization of T-S fuzzy semi-Markov switching systems: A coupling memory sampled-data control approach , 2020, J. Frankl. Inst..

[38]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[39]  Yang Shi,et al.  New Results on Sliding-Mode Control for Takagi–Sugeno Fuzzy Multiagent Systems , 2019, IEEE Transactions on Cybernetics.

[40]  Youyi Wang,et al.  Control Synthesis of Continuous-Time T-S Fuzzy Systems With Local Nonlinear Models , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[41]  Shumin Fei,et al.  Asynchronous adaptive event-triggered tracking control for multi-agent systems with stochastic actuator faults , 2019, Appl. Math. Comput..

[42]  Sansit Patnaik,et al.  Application of variable- and distributed-order fractional operators to the dynamic analysis of nonlinear oscillators , 2020 .

[43]  Jun Wang,et al.  New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies , 2019, Appl. Math. Comput..

[44]  Weiyao Lan,et al.  Adaptive robust tracking control for uncertain nonlinear fractional-order multi-agent systems with directed topologies , 2018, Autom..