Cascade structure predictive observer design for consensus control with applications to UAVs formation flying

Abstract This paper investigates the long input delay problem in consensus control of multi-agent systems with directed graph. First, cascade structure predictive observers are designed to obtain the future state for each agent. Then, adaptive technique based consensus controllers are designed for the agents to make sure that any global information is not needed. Lyapunov–Krasovskii functionals are used for the delay upper bound analysis and sufficient conditions are derived to guarantee that the consensus errors converge to zero asymptotically. Finally, the proposed controllers are verified through numerical simulation and UAVs formation flying tests.

[1]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[2]  Dirk Roose,et al.  Limitations of a class of stabilization methods for delay systems , 2001, IEEE Trans. Autom. Control..

[3]  Bin Zhang,et al.  Semi-global robust tracking consensus for multi-agent uncertain systems with input saturation via metamorphic low-gain feedback , 2019, Autom..

[4]  Xin-Ping Guan,et al.  Semi-global/global output consensus for nonlinear multiagent systems with time delays , 2019, Autom..

[5]  Zhisheng Duan,et al.  Cooperative Control of Multi-Agent Systems: A Consensus Region Approach , 2014 .

[6]  Z. Artstein.  Linear systems with delayed controls: A reduction , 1982 .

[7]  Zhengtao Ding,et al.  A Truncated Prediction Approach to Consensus Control of Lipschitz Nonlinear Multiagent Systems With Input Delay , 2017, IEEE Transactions on Control of Network Systems.

[8]  Zhengtao Ding,et al.  Consensus Control of a Class of Lipschitz Nonlinear Systems With Input Delay , 2015, IEEE Trans. Circuits Syst. I Regul. Pap..

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

[10]  Chao Yang,et al.  Nodes selection strategy in cooperative tracking problem , 2016, Autom..

[11]  Bin Zhou,et al.  Consensus of high-order multi-agent systems with large input and communication delays , 2014, at - Automatisierungstechnik.

[12]  Yuezu Lv,et al.  Distributed adaptive output feedback consensus protocols for linear systems on directed graphs with a leader of bounded input , 2016, Autom..

[13]  M. Krstic.  Lyapunov Stability of Linear Predictor Feedback for Time-Varying Input Delay , 2010, IEEE Trans. Autom. Control..

[14]  Qingsong Liu,et al.  Stabilization of linear systems with both input and state delays by observer-predictors , 2017, Autom..

[15]  Qing-Chang Zhong,et al.  Robust Control of Time-delay Systems , 2006 .

[16]  Zhengtao Ding,et al.  Predictor-Based Extended-State-Observer Design for Consensus of MASs With Delays and Disturbances , 2019, IEEE Transactions on Cybernetics.

[17]  Guanghui Wen,et al.  Neuro-Adaptive Consensus Tracking of Multiagent Systems With a High-Dimensional Leader , 2017, IEEE Transactions on Cybernetics.

[18]  Dong Yue,et al.  Data-Driven Distributed Optimal Consensus Control for Unknown Multiagent Systems With Input-Delay , 2019, IEEE Transactions on Cybernetics.

[19]  Saeed Hosseinnia,et al.  Closed-loop control of dead time systems via sequential sub-predictors , 2013, Int. J. Control.

[20]  Guanghui Wen,et al.  Designing Fully Distributed Consensus Protocols for Linear Multi-Agent Systems With Directed Graphs , 2013, IEEE Transactions on Automatic Control.

[21]  Wook Hyun Kwon,et al.  Feedback stabilization of linear systems with delayed control , 1980 .

[22]  Zhang Ren,et al.  Time-Varying Formation Tracking for Second-Order Multi-Agent Systems Subjected to Switching Topologies With Application to Quadrotor Formation Flying , 2017, IEEE Transactions on Industrial Electronics.

[23]  Wei Wang,et al.  A PD-Like Protocol With a Time Delay to Average Consensus Control for Multi-Agent Systems Under an Arbitrarily Fast Switching Topology , 2017, IEEE Transactions on Cybernetics.

[24]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[25]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[26]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.