Finite-horizon distributed H∞-consensus control of time-varying multi-agent systems with Round-Robin protocol

Abstract This paper takes into account the H∞-consensus control problem for a class of uncertain discrete time-varying multi-agent systems which is constrained by Round-Robin scheduling protocol and measurement saturations. In the multi-agent system under consideration, all the system parameters are time-varying to better reflect the practical engineering. The Round-Robin protocol is utilized to alleviate the communication congestion in a shared constrained network by scheduling the information transmission among agents, where an agent can receive one neighbor’s information at each time instant and the transmission order of neighboring agents is regulated. The aim of the research is to design consensus controller for each agent over an assigned finite horizon such that the closed-loop multi-agent systems with saturated measurement outputs can satisfy the H∞ disturbance attenuation level. Next, a sufficient condition is derived to ensure the H∞-consensus performance constraint based on the Lyapunov stability theory. Then, the controller parameters can be obtained by solving recursively a linear matrix inequality at every time instant. Finally, a numerical example is provided to show the effectiveness of the developed consensus control scheme.

[1]  Feng Qian,et al.  Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control , 2017, Inf. Sci..

[2]  Qing-Long Han,et al.  Finite-Time $H_{\infty}$ State Estimation for Discrete Time-Delayed Genetic Regulatory Networks Under Stochastic Communication Protocols , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Daniel W. C. Ho,et al.  Finite-Horizon $H_\infty $ Consensus for Multiagent Systems With Redundant Channels via An Observer-Type Event-Triggered Scheme , 2018, IEEE Transactions on Cybernetics.

[4]  Fuwen Yang,et al.  Event-Triggered Asynchronous Guaranteed Cost Control for Markov Jump Discrete-Time Neural Networks With Distributed Delay and Channel Fading , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Hiroaki Yamaguchi,et al.  A Cooperative Hunting Behavior by Mobile-Robot Troops , 1999, Int. J. Robotics Res..

[6]  Daniel W. C. Ho,et al.  A Weightedly Uniform Detectability for Sensor Networks , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[7]  Fuad E. Alsaadi,et al.  Finite-Horizon ${\mathcal H}_{\infty }$ Consensus Control of Time-Varying Multiagent Systems With Stochastic Communication Protocol , 2017, IEEE Transactions on Cybernetics.

[8]  Fuad E. Alsaadi,et al.  Event-based filtering for time-varying nonlinear systems subject to multiple missing measurements with uncertain missing probabilities , 2017, Inf. Fusion.

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

[10]  Fuad E. Alsaadi,et al.  Event-triggered distributed state estimation for a class of time-varying systems over sensor networks with redundant channels , 2017, Inf. Fusion.

[11]  Yan Song,et al.  Distributed H∞-consensus filtering for piecewise discrete-time linear systems , 2015, J. Frankl. Inst..

[12]  Michael V. Basin,et al.  Central suboptimal mean-square H ∞ controller design for linear stochastic time-varying systems , 2011, Int. J. Syst. Sci..

[13]  Fuwen Yang,et al.  A Novel Observability Gramian-Based Fast Covariance Intersection Rule , 2018, IEEE Signal Processing Letters.

[14]  Jason L. Speyer,et al.  Decentralized controllers for unmanned aerial vehicle formation flight , 1996 .

[15]  Jun Hu,et al.  Joint state and fault estimation for time-varying nonlinear systems with randomly occurring faults and sensor saturations , 2018, Autom..

[16]  N.E. Leonard,et al.  Orientation control of multiple underwater vehicles with symmetry-breaking potentials , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[17]  Jun Hu,et al.  Event-based state estimation for time-varying stochastic coupling networks with missing measurements under uncertain occurrence probabilities , 2018, Int. J. Gen. Syst..

[18]  Peng Shi,et al.  Finite-Time Distributed State Estimation Over Sensor Networks With Round-Robin Protocol and Fading Channels , 2018, IEEE Transactions on Cybernetics.

[19]  Ziyang Meng,et al.  Global consensus for discrete-time multi-agent systems with input saturation constraints , 2014, Autom..

[20]  Yan Song,et al.  Finite-horizon H∞-consensus control for multi-agent systems with random parameters: The local condition case , 2017, J. Frankl. Inst..

[21]  Jun Hu,et al.  A variance-constrained approach to recursive state estimation for time-varying complex networks with missing measurements , 2016, Autom..

[22]  Yingmin Jia,et al.  Robust h ∞ consensus analysis of a class of second-order multi-agent systems with uncertainty , 2010 .

[23]  Shuai Liu,et al.  Error-constrained reliable tracking control for discrete time-varying systems subject to quantization effects , 2016, Neurocomputing.

[24]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[25]  Bo Liu,et al.  Asynchronous consensus of second-order multi-agent systems with impulsive control and measurement time-delays , 2018, Neurocomputing.

[26]  Derui Ding,et al.  Event-triggered consensus control for discrete-time stochastic multi-agent systems: The input-to-state stability in probability , 2015, Autom..

[27]  G. Styan.  Hadamard products and multivariate statistical analysis , 1973 .

[28]  Emilia Fridman,et al.  A Round-Robin Type Protocol for Distributed Estimation with H∞ Consensus , 2014, Syst. Control. Lett..

[29]  Hak-Keung Lam,et al.  Event-Triggered Mean-Square Consensus Control for Time-Varying Stochastic Multi-Agent System With Sensor Saturations , 2017, IEEE Transactions on Automatic Control.

[30]  J. G. Bender,et al.  An overview of systems studies of automated highway systems , 1991 .

[31]  Lei Zou,et al.  State Estimation for Discrete-Time Dynamical Networks With Time-Varying Delays and Stochastic Disturbances Under the Round-Robin Protocol , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[32]  Gongfa Li,et al.  Human Lesion Detection Method Based on Image Information and Brain Signal , 2019, IEEE Access.

[33]  Guanrong Chen,et al.  Fully Distributed Event-Triggered Semiglobal Consensus of Multi-agent Systems With Input Saturation , 2017, IEEE Transactions on Industrial Electronics.

[34]  W. Zhang,et al.  Observer-based adaptive consensus tracking for linear multi-agent systems with input saturation , 2015 .

[35]  Zidong Wang,et al.  $H_{\infty}$ State Estimation for Discrete-Time Nonlinear Singularly Perturbed Complex Networks Under the Round-Robin Protocol , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[37]  Min Wu,et al.  State Estimation for Discrete Time-Delayed Genetic Regulatory Networks With Stochastic Noises Under the Round-Robin Protocols , 2018, IEEE Transactions on NanoBioscience.

[38]  Zidong Wang,et al.  H∞H∞ consensus control for multi-agent systems with missing measurements: The finite-horizon case , 2013, Syst. Control. Lett..