Containment control of networked autonomous underwater vehicles: A predictor-based neural DSC design.

This paper investigates the containment control problem of networked autonomous underwater vehicles in the presence of model uncertainty and unknown ocean disturbances. A predictor-based neural dynamic surface control design method is presented to develop the distributed adaptive containment controllers, under which the trajectories of follower vehicles nearly converge to the dynamic convex hull spanned by multiple reference trajectories over a directed network. Prediction errors, rather than tracking errors, are used to update the neural adaptation laws, which are independent of the tracking error dynamics, resulting in two time-scales to govern the entire system. The stability property of the closed-loop network is established via Lyapunov analysis, and transient property is quantified in terms of L2 norms of the derivatives of neural weights, which are shown to be smaller than the classical neural dynamic surface control approach. Comparative studies are given to show the substantial improvements of the proposed new method.

[1]  Tieshan Li,et al.  Leaderless and leader-follower cooperative control of multiple marine surface vehicles with unknown dynamics , 2013 .

[2]  Carlos Silvestre,et al.  Coordinated Path-Following in the Presence of Communication Losses and Time Delays , 2009, SIAM J. Control. Optim..

[3]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Tracking Backstepping Control of Strict-Feedback Nonlinear Systems With Unknown Dead Zones , 2012, IEEE Transactions on Fuzzy Systems.

[4]  Miguel Ángel Sotelo,et al.  Adaptive Fuzzy Sliding Mode Controller for the Kinematic Variables of an Underwater Vehicle , 2007, J. Intell. Robotic Syst..

[5]  A. P. Aguiar,et al.  Dynamic positioning and way-point tracking of underactuated AUVs in the presence of ocean currents , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[6]  Shuzhi Sam Ge,et al.  Globally Stable Adaptive Backstepping Neural Network Control for Uncertain Strict-Feedback Systems With Tracking Accuracy Known a Priori , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[7]  Guangfu Ma,et al.  Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph , 2012, Autom..

[8]  Bin Jiang,et al.  Robust Adaptive Tracking Control of the Underwater Robot with Input Nonlinearity Using Neural Networks , 2010 .

[9]  Ziyang Meng,et al.  Distributed finite-time attitude containment control for multiple rigid bodies , 2010, Autom..

[10]  Yu Guo,et al.  Robust adaptive parameter estimation of sinusoidal signals , 2015, Autom..

[11]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[12]  W. E. Dixon,et al.  Nonlinear control of an autonomous underwater vehicle: A RISE-based approach , 2011, Proceedings of the 2011 American Control Conference.

[13]  Anthony J. Calise,et al.  Adaptive output feedback control of nonlinear systems using neural networks , 2001, Autom..

[14]  Yoo Sang Choo,et al.  Leader-follower formation control of underactuated autonomous underwater vehicles , 2010 .

[15]  Michael Athans,et al.  Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics , 1985 .

[16]  Guodong Shi,et al.  Set tracking of multi-agent systems with variable topologies guided by moving multiple leaders , 2010, 49th IEEE Conference on Decision and Control (CDC).

[17]  Mengyin Fu,et al.  Distributed containment control of multi‐agent systems with general linear dynamics in the presence of multiple leaders , 2013 .

[18]  Dan Wang,et al.  Distributed coordinated tracking of multiple autonomous underwater vehicles , 2014 .

[19]  Dan Wang,et al.  Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form , 2005, IEEE Transactions on Neural Networks.

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

[21]  Anthony J. Calise,et al.  Adaptive output feedback control of nonlinear systems using neural networks , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[22]  Irene M. Gregory,et al.  $\mathcal {L}_1$Adaptive Control for Safety-Critical Systems , 2011, IEEE Control Systems.

[23]  Antonio M. Pascoal,et al.  Coordinated motion control of marine robots , 2003 .

[24]  Wei Li,et al.  Backstepping control for periodically time-varying systems using high-order neural network and Fourier series expansion. , 2010, ISA transactions.

[25]  Sung Jin Yoo,et al.  Distributed adaptive containment control of uncertain nonlinear multi-agent systems in strict-feedback form , 2013, Autom..

[26]  Leslie Hogben,et al.  Combinatorial Matrix Theory , 2013 .

[27]  Zhong-Ping Jiang,et al.  Distributed output regulation of leader–follower multi‐agent systems , 2013 .

[28]  Xiaobo Li,et al.  Quantized consensus of second-order continuous-time multi-agent systems with a directed topology via sampled data , 2013, Autom..

[29]  Guanghui Wen,et al.  Consensus Tracking of Multi-Agent Systems With Lipschitz-Type Node Dynamics and Switching Topologies , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Dan Wang,et al.  Adaptive Dynamic Surface Control for Formations of Autonomous Surface Vehicles With Uncertain Dynamics , 2013, IEEE Transactions on Control Systems Technology.

[31]  Magnus Egerstedt,et al.  Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks , 2012, Autom..

[32]  Yiguang Hong,et al.  Target containment control of multi-agent systems with random switching interconnection topologies , 2012, Autom..

[33]  Shengyuan Xu,et al.  Distributed Containment Control with Multiple Dynamic Leaders for Double-Integrator Dynamics Using Only Position Measurements , 2012, IEEE Transactions on Automatic Control.

[34]  Ziyang Meng,et al.  Distributed Containment Control for Multiple Autonomous Vehicles With Double-Integrator Dynamics: Algorithms and Experiments , 2011, IEEE Transactions on Control Systems Technology.

[35]  Marialena Vagia How to extend the travel range of a nanobeam with a robust adaptive control scheme: a dynamic surface design approach. , 2013, ISA transactions.

[36]  Gang Sun,et al.  Distributed Neural Network Control for Adaptive Synchronization of Uncertain Dynamical Multiagent Systems , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[37]  Anthony J. Calise,et al.  Adaptive output feedback control of a class of non-linear systems using neural networks , 2001 .

[38]  Chao Liu,et al.  Synchronized path following control of multiple homogenous underactuated AUVs , 2012, J. Syst. Sci. Complex..

[39]  Thor I. Fossen,et al.  Marine Control Systems Guidance, Navigation, and Control of Ships, Rigs and Underwater Vehicles , 2002 .

[40]  S. S. Ge,et al.  Synchronised tracking control of multi-agent system with high order dynamics , 2012 .

[41]  Weisheng Chen,et al.  Globally stable adaptive backstepping fuzzy control for output-feedback systems with unknown high-frequency gain sign , 2010, Fuzzy Sets Syst..

[42]  Demin Xu,et al.  Synchronization of multiple autonomous underwater vehicles without velocity measurements , 2012, Science China Information Sciences.

[43]  Karl Henrik Johansson,et al.  Connectivity and Set Tracking of Multi-Agent Systems Guided by Multiple Moving Leaders , 2011, IEEE Transactions on Automatic Control.

[44]  Yongjie Pang,et al.  Adaptive output feedback control based on DRFNN for AUV , 2009 .

[45]  Yongming Li,et al.  Observer-Based Adaptive Decentralized Fuzzy Fault-Tolerant Control of Nonlinear Large-Scale Systems With Actuator Failures , 2014, IEEE Transactions on Fuzzy Systems.

[46]  Guido Herrmann,et al.  Robust adaptive finite‐time parameter estimation and control for robotic systems , 2015 .

[47]  Dan Wang,et al.  Neural network‐based adaptive dynamic surface control of uncertain nonlinear pure‐feedback systems , 2011 .