Couple-group consensus for heterogeneous MASs under switched topologies in cooperative-competitive systems: A hybrid pinning and delta operator skills

Abstract In this paper, pinning control and delta operator skills are applied to study couple-group consensus for heterogeneous MASs (multi-agent systems) with switched topology in cooperative-competitive networks. A new couple-group consensus agreement has been designed for this heterogeneous MASs with time delay. On the basis of delta operator and stability theory, couple-group consensus of the continuous or discrete systems can be transformed to analyze stability of a system with time lag. By using stability theory and LMI (Linear matrix inequality) technique, some meaningful results are put forward to obtain couple-group consensus of the heterogeneous MASs. In addition, these conclusions are also suitable for MASs whose switched topologies networks cant meet the equilibrium of in-degree or cant meet the requirements of any sub-topology with a spanning tree. In the end, some digital experiments are listed to prove the validity of the obtained achievements.

[1]  Jun Huang,et al.  On pinning group consensus for heterogeneous multi-agent system with input saturation , 2016, Neurocomputing.

[2]  Kamal Premaratne,et al.  Delta-operator formulated discrete-time approximations of continuous-time systems , 1994, IEEE Trans. Autom. Control..

[3]  Wei Xing Zheng,et al.  Second-order consensus for multi-agent systems with switching topology and communication delay , 2011, Syst. Control. Lett..

[4]  Lihua Xie,et al.  Consensus condition for linear multi-agent systems over randomly switching topologies , 2013, Autom..

[5]  Jinde Cao,et al.  Pinning consensus for multi-agent systems with non-linear dynamics and time-varying delay under directed switching topology , 2014 .

[6]  Lianghao Ji,et al.  Weighted Couple-Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative-Competitive Interactions and Time Delays , 2019, Complex..

[7]  C. L. Philip Chen,et al.  Fuzzy Observed-Based Adaptive Consensus Tracking Control for Second-Order Multiagent Systems With Heterogeneous Nonlinear Dynamics , 2016, IEEE Transactions on Fuzzy Systems.

[8]  Zhi Chen,et al.  Group consensus control for heterogeneous multi-agent systems with fixed and switching topologies , 2016, Int. J. Control.

[9]  Longlong Zhao,et al.  Weighted Group Consensus for Discrete-Time Heterogeneous Multi-Agent Systems in the Cooperative-Competitive Network With Time Delays , 2019, IEEE Access.

[10]  Guo-Xing Wen,et al.  Adaptive Consensus Control for a Class of Nonlinear Multiagent Time-Delay Systems Using Neural Networks , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[11]  James Lam,et al.  Finite-Time Consensus of Multiagent Systems With a Switching Protocol , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[12]  Zhang Duan-jin.  Robust stability analysis and control for fuzzy systems with uncertainties using the delta operator , 2003 .

[13]  Long Wang,et al.  Group consensus in multi-agent systems with switching topologies and communication delays , 2010, Syst. Control. Lett..

[14]  Xiaofeng Liao,et al.  Couple-group consensus for discrete-time heterogeneous multiagent systems with cooperative-competitive interactions and time delays , 2018, Neurocomputing.

[15]  Graham C. Goodwin,et al.  Rapprochement between continuous and discrete model reference adaptive control , 1986, Autom..

[16]  Daniel W. C. Ho,et al.  Consensus protocol for multiple delta operator systems , 2017, Syst. Control. Lett..

[17]  Xiaohua Xia,et al.  Adaptive consensus of multi-agents in networks with jointly connected topologies , 2012, Autom..

[18]  Bo Hu,et al.  Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach , 2001, Int. J. Syst. Sci..

[19]  Daizhan Cheng,et al.  Leader-following consensus of multi-agent systems under fixed and switching topologies , 2010, Syst. Control. Lett..

[20]  Guoqiang Hu,et al.  Distributed secure average consensus for linear multi-agent systems under DoS attacks , 2017, 2017 American Control Conference (ACC).

[21]  Guanrong Chen,et al.  Some necessary and sufficient conditions for consensus of second-order multi-agent systems with sampled position data , 2016, Autom..

[22]  Wenwu Yu,et al.  Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems , 2010, Autom..

[23]  Bart De Schutter,et al.  Multi-agent model predictive control for transportation networks: Serial versus parallel schemes , 2008, Eng. Appl. Artif. Intell..

[24]  A. Morse.  Supervisory control of families of linear set-point controllers Part I. Exact matching , 1996, IEEE Trans. Autom. Control..

[25]  Zhong-Ping Jiang,et al.  Event-based consensus of multi-agent systems with general linear models , 2014, Autom..

[26]  Jiangping Hu,et al.  Group consensus in multi-agent systems with sampled data , 2013, Proceedings of the 32nd Chinese Control Conference.

[27]  Afsaneh Haddadi,et al.  Application of multi-agent systems in traffic and transportation , 1997, IEE Proc. Softw. Eng..

[28]  Bo Wang,et al.  Exponential Stability of Switched Systems with Unstable Subsystems: A Mode-Dependent Average Dwell Time Approach , 2013, Circuits Syst. Signal Process..

[29]  Lianghao Ji,et al.  Group consensus of multi-agent systems with cooperative-competitive interaction and communication delay in switching topologies networks based on the delta operator method , 2020, Neurocomputing.

[30]  Wei Zhu,et al.  Consensus of fractional-order multi-agent systems with linear models via observer-type protocol , 2017, Neurocomputing.

[31]  Hongbin Zhang,et al.  Consensus of multi-agent systems with faults and mismatches under switched topologies using a delta operator method , 2018, Neurocomputing.

[32]  Yuanqing Xia,et al.  Stabilization of networked control systems with nonuniform random sampling periods , 2011 .

[33]  J. Qiu,et al.  Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators , 2008 .

[34]  Rui Wang,et al.  Flocking in nonlinear multi-agent systems with time-varying delay via event-triggered control , 2019, Appl. Math. Comput..

[35]  Jinde Cao,et al.  Second-order consensus in multi-agent dynamical systems with sampled position data , 2011, Autom..

[36]  Tingwen Huang,et al.  Leader-following exponential consensus of general linear multi-agent systems via event-triggered control with combinational measurements , 2015, Appl. Math. Lett..

[37]  Yilun Shang,et al.  Group consensus of multi-agent systems in directed networks with noises and time delays , 2015, Int. J. Syst. Sci..

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

[39]  Yang Liu,et al.  Distributed consensus for sampled-data control multi-agent systems with missing control inputs , 2014, Appl. Math. Comput..

[40]  Hongliang Liu,et al.  A note on the fixed-time bipartite flocking for nonlinear multi-agent systems , 2020, Appl. Math. Lett..

[41]  Xiaofeng Liao,et al.  On pinning group consensus for dynamical multi-agent networks with general connected topology , 2014, Neurocomputing.

[42]  Peng Shi,et al.  Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time , 2012, IEEE Transactions on Automatic Control.

[43]  Yuanqing Xia,et al.  Observer-based sliding mode control for a class of discrete systems via delta operator approach , 2010, J. Frankl. Inst..

[44]  Lee H. Keel,et al.  Model-based resilient control for a multi-agent system against Denial of Service attacks , 2016, 2016 World Automation Congress (WAC).

[45]  Guanghui Wen,et al.  Consensus of second-order multi-agent systems with delayed nonlinear dynamics and intermittent communications , 2013, Int. J. Control.

[46]  Peng Shi,et al.  Robust consensus algorithm for second-order multi-agent systems with external disturbances , 2012, Int. J. Control.

[47]  B. Chanane,et al.  A series solution for nonlinear differential equations using delta operators , 1998 .

[48]  Hao Hu,et al.  Reliable guaranteed-cost control of delta operator switched systems with actuator faults: mode-dependent average dwell-time approach , 2016 .