Adaptive nonsingular terminal sliding-mode formation control using ORFWNN for uncertain networked heterogeneous mecanum-wheeled omnidirectional robots

This paper presents an adaptive nonsingular terminal sliding mode formation control by means of output recurrent fuzzy wavelet neural networks for a group of networked heterogeneous Mecanum-wheeled omnidirectional robots with uncertainties. The dynamic behavior of each uncertain heterogeneous omnidirectional robot is modelled by a reduced three-input-three-output second-order state equation with uncertainties and the multi-robot system is modeled by graph theory. Through the Lyapunov stability theory and online learning of the system uncertainties via output recurrent fuzzy wavelet neural networks, an adaptive nonsingular terminal sliding mode control approach is offered to attain finite-time formation control in presence of uncertainties. Conducting three simulations are to show the effectiveness and merit of the proposed method.

[1]  Ching-Hung Lee,et al.  Output recurrent wavelet neural network-based adaptive backstepping controller for a class of MIMO nonlinear non-affine uncertain systems , 2012, Neural Computing and Applications.

[2]  Ching-Chih Tsai,et al.  Intelligent adaptive distributed consensus formation control for uncertain networked heterogeneous swedish-wheeled omnidirectional multi-robots , 2016, 2016 55th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE).

[3]  Yeong-Hwa Chang,et al.  Fuzzy Sliding-Mode Formation Control for Multirobot Systems: Design and Implementation , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[4]  Ching-Chih Tsai,et al.  Distributed Consensus Formation Control with Collision and Obstacle Avoidance for Uncertain Networked Omnidirectional Multi-robot Systems Using Fuzzy Wavelet Neural Networks , 2017, Int. J. Fuzzy Syst..

[5]  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.

[6]  Yan Zheng,et al.  Improved nonsingular terminal sliding mode controller design for high-order systems , 2009, 2009 Chinese Control and Decision Conference.

[7]  Lynne E. Parker,et al.  Distributed Intelligence: Overview of the Field and Its Application in Multi-Robot Systems , 2008, AAAI Fall Symposium: Regarding the Intelligence in Distributed Intelligent Systems.

[8]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[9]  Xu Zibin,et al.  Backstepping control for a class of uncertain systems based on non-singular terminal sliding mode , 2009, 2009 International Conference on Industrial Mechatronics and Automation.

[10]  Ching-Chih Tsai,et al.  Nonsingular terminal sliding control using fuzzy wavelet networks for Mecanum wheeled omni-directional vehicles , 2010, International Conference on Fuzzy Systems.

[11]  C.-K. Lin,et al.  Nonsingular Terminal Sliding Mode Control of Robot Manipulators Using Fuzzy Wavelet Networks , 2006, IEEE Transactions on Fuzzy Systems.

[12]  Ching-Chih Tsai,et al.  Intelligent sliding-mode formation control for uncertain networked heterogeneous Mecanum-wheeled omnidirectional platforms , 2016, 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

[13]  Ziyang Meng,et al.  Leaderless and Leader-Following Consensus With Communication and Input Delays Under a Directed Network Topology , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Richard M. Murray,et al.  Recent Research in Cooperative Control of Multivehicle Systems , 2007 .

[15]  P. Olver Nonlinear Systems , 2013 .

[16]  C. L. Chen,et al.  Sliding mode leader-following consensus controllers for second-order non-linear multi-agent systems , 2015 .

[17]  Xinghuo Yu,et al.  Fuzzy terminal sliding mode control of two-link flexible manipulators , 2008, 2008 34th Annual Conference of IEEE Industrial Electronics.

[18]  Daniel W. C. Ho,et al.  Fuzzy wavelet networks for function learning , 2001, IEEE Trans. Fuzzy Syst..

[19]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

[20]  Chintae Choi,et al.  Practical Nonsingular Terminal Sliding-Mode Control of Robot Manipulators for High-Accuracy Tracking Control , 2009, IEEE Transactions on Industrial Electronics.

[21]  Abhijit Das,et al.  Cooperative Control of Multi-Agent Systems , 2014 .