Smooth control design for adaptive leader-following consensus control of a class of high-order nonlinear systems with time-varying reference and unknown control directions

In this paper, we investigate the distributed adaptive leader-following consensus control for high-order nonlinear multi-agent systems with a time-varying reference trajectory under directed topology, subjected to mismatched unknown parameters and unknown control directions. By introducing local estimators for the bounds of the reference trajectory and a filter for each agent, a new backstepping-based smooth distributed adaptive control protocol is proposed. Meanwhile, a Nussbaum-type function is applied to address the consensus control with unknown control directions. It is shown that global uniform boundedness of all the closed-loop signals and asymptotic output consensus tracking can be achieved. Simulation results are provided to verify the effectiveness of our scheme.

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

[2]  Yongduan Song,et al.  Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems , 2015, Autom..

[3]  Wei Xing Zheng,et al.  Adaptive tracking control of leader-follower systems with unknown dynamics and partial measurements , 2014, Autom..

[4]  Farzaneh Abdollahi,et al.  Adaptive Consensus Control of Nonlinear Multiagent Systems With Unknown Control Directions Under Stochastic Topologies , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Gang Wang,et al.  Distributed adaptive output consensus tracking of higher-order systems with unknown control directions , 2016, Neurocomputing.

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

[7]  C. L. Philip Chen,et al.  Adaptive Consensus of Nonlinear Multi-Agent Systems With Non-Identical Partially Unknown Control Directions and Bounded Modelling Errors , 2017, IEEE Transactions on Automatic Control.

[8]  Gang Wang,et al.  Designing distributed consensus protocols for second-order nonlinear multi-agents with unknown control directions under directed graphs , 2017, J. Frankl. Inst..

[9]  Frank L. Lewis,et al.  Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics , 2012, Autom..

[10]  Gang Feng,et al.  Leader-follower consensus of time-varying nonlinear multi-agent systems , 2015, Autom..

[11]  Youfeng Su,et al.  Cooperative Global Output Regulation of Second-Order Nonlinear Multi-Agent Systems With Unknown Control Direction , 2015, IEEE Transactions on Automatic Control.

[12]  Frank L. Lewis,et al.  Distributed adaptive control for synchronization of unknown nonlinear networked systems , 2010, Autom..

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

[14]  Wei Liu,et al.  H∞ consensus of multi-agent systems in directed networks with Lipschitz non-linear dynamics , 2017 .

[15]  Tieshan Li,et al.  Prescribed Performance Consensus of Uncertain Nonlinear Strict-Feedback Systems With Unknown Control Directions , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[16]  Jun Xu,et al.  Consensus of high-order discrete-time linear networked multi-agent systems with switching topology and time delays , 2017 .

[17]  Jinde Cao,et al.  Consensus seeking for multi-agent systems by hybrid output feedback protocol , 2017 .

[18]  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.

[19]  Hongjun Chu,et al.  Adaptive consensus tracking for linear multi-agent systems with input saturation , 2016 .

[20]  I. Kanellakopoulos,et al.  Adaptive nonlinear control without overparametrization , 1992 .

[21]  Guangfu Ma,et al.  Distributed Coordinated Tracking With a Dynamic Leader for Multiple Euler-Lagrange Systems , 2011, IEEE Transactions on Automatic Control.

[22]  Wenjie Dong,et al.  Adaptive consensus seeking of multiple nonlinear systems , 2012 .

[23]  M. Areak,et al.  Passivity as a design tool for group coordination , 2006, 2006 American Control Conference.

[24]  Xiaole Xu,et al.  Distributed adaptive consensus control for multi-agent systems with Lipschitz nonlinear dynamics , 2017 .

[25]  Wei Ren,et al.  Multi-vehicle consensus with a time-varying reference state , 2007, Syst. Control. Lett..

[26]  Wei Wang,et al.  Distributed adaptive control for consensus tracking with application to formation control of nonholonomic mobile robots , 2014, Autom..

[27]  Guanrong Chen,et al.  Nonsmooth leader-following formation control of nonidentical multi-agent systems with directed communication topologies , 2016, Autom..

[28]  Xudong Ye,et al.  Cooperative control of multiple heterogeneous agents with unknown high-frequency-gain signs , 2014, Syst. Control. Lett..

[29]  Frank L. Lewis,et al.  Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems , 2014, Autom..

[30]  Yangzhou Chen,et al.  Consensus of heterogeneous linear multi-agent systems: Linear-transformation-based partial stability approach , 2017 .

[31]  Jie Lian,et al.  Mean Stability of Positive Markov Jump Linear Systems With Homogeneous and Switching Transition Probabilities , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[32]  Lihua Xie,et al.  Distributed Tracking Control for Linear Multiagent Systems With a Leader of Bounded Unknown Input , 2013, IEEE Transactions on Automatic Control.

[33]  X. Ye,et al.  Adaptive nonlinear design without a priori knowledge of control directions , 1998, IEEE Trans. Autom. Control..

[34]  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.

[35]  John T. Wen,et al.  Adaptive motion coordination: Using relative velocity feedback to track a reference velocity , 2009, Autom..

[36]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[37]  Wei Wang,et al.  Distributed adaptive asymptotically consensus tracking control of nonlinear multi-agent systems with unknown parameters and uncertain disturbances , 2017, Autom..

[38]  Wei Wang,et al.  Hierarchical Decomposition Based Consensus Tracking for Uncertain Interconnected Systems via Distributed Adaptive Output Feedback Control , 2016, IEEE Transactions on Automatic Control.

[39]  Xiaobo Li,et al.  Adaptive Consensus of Multi-Agent Systems With Unknown Identical Control Directions Based on A Novel Nussbaum-Type Function , 2014, IEEE Transactions on Automatic Control.