Leader-follower-based formation control of nonholonomic mobile robots with mismatched uncertainties via integral sliding mode

This article focuses on the control of a group of nonholonomic mobile robots. A leader-follower coordinated control scheme is developed to achieve formation maneuvers of such a multi-robot system. The scheme adopts the methodology of integral sliding mode control to form up and maintain the robots in predefined trajectories. The dynamic equations of the scheme are subject to mismatched uncertainties. The mismatched uncertainties challenge formation stabilization because they cannot be suppressed by the invariance of integral sliding mode control. In light of Lyapunov’s direct method, a sufficient condition is drawn to guarantee the reachability condition of integral sliding mode control in the presence of the mismatched uncertainties. To verify the feasibility and effectiveness of the proposed strategy, simulation results are illustrated by an uncertain multi-robot system composed of three nonholonomic mobile robots.

[1]  Yanyan Dai,et al.  The leader-follower formation control of nonholonomic mobile robots , 2012 .

[2]  Shen Yin,et al.  Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control , 2013 .

[3]  Sarangapani Jagannathan,et al.  Discrete-Time Optimal Control of Nonholonomic Mobile Robot Formations Using Linearly Parameterized Neural Networks , 2011, Int. J. Robotics Autom..

[4]  Mohammad Biglarbegian,et al.  A Novel Robust Leader-Following Control Design for Mobile Robots , 2013, J. Intell. Robotic Syst..

[5]  Maarouf Saad,et al.  Robust formation control without velocity measurement of the leader robot , 2013 .

[6]  Xiangjie Liu,et al.  Robust sliding mode control for a class of underactuated systems with mismatched uncertainties , 2009 .

[7]  Yanyan Dai,et al.  Formation control of mobile robots with obstacle avoidance based on GOACM using onboard sensors , 2014 .

[8]  Bin Jiang,et al.  Fault tolerant control scheme design for the formation control system of unmanned aerial vehicles , 2013, J. Syst. Control. Eng..

[9]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[10]  Mohsen Bahrami,et al.  Optimal sliding mode control for spacecraft formation flying in eccentric orbits , 2013, The 2nd International Conference on Control, Instrumentation and Automation.

[11]  Bidyadhar Subudhi,et al.  Decentralized Formation Control of Multiple Autonomous Underwater Vehicles , 2013, Int. J. Robotics Autom..

[12]  Alexander G. Loukianov,et al.  Robust nested sliding mode integral control for anti-lock brake system , 2013 .

[13]  Yu-Ping Tian,et al.  A backstepping design for directed formation control of three‐coleader agents in the plane , 2009 .

[14]  Tao Zou,et al.  A finite-time approach to formation control of multiple mobile robots with terminal sliding mode , 2012, Int. J. Syst. Sci..

[15]  Jianqiang Yi,et al.  Hierarchical sliding mode control for a class of SIMO under-actuated systems , 2008 .

[16]  Michael Defoort,et al.  Sliding-Mode Formation Control for Cooperative Autonomous Mobile Robots , 2008, IEEE Transactions on Industrial Electronics.

[17]  Tolga Eren,et al.  Formation shape control based on bearing rigidity , 2012, Int. J. Control.

[18]  Yang Mi,et al.  Decentralized Sliding Mode Load Frequency Control for Multi-Area Power Systems , 2013, IEEE Transactions on Power Systems.

[19]  Jin Bae Park,et al.  Robust formation control of electrically driven nonholonomic mobile robots via sliding mode technique , 2011 .

[20]  George W. Irwin,et al.  Stability Analysis and Implementation of a Decentralized Formation Control Strategy for Unmanned Vehicles , 2014, IEEE Transactions on Control Systems Technology.

[21]  Yu-Ping Tian,et al.  Coordinated adaptive control for three-dimensional formation tracking with a time-varying orbital velocity , 2013 .

[22]  M. Saad,et al.  Coordinated path-following control for a group of mobile robots with velocity recovery , 2010 .

[23]  Maarouf Saad,et al.  Leader-follower formation control of nonholonomic robots with fuzzy logic based approach for obstacle avoidance , 2011, 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[24]  Domenico Prattichizzo,et al.  Discussion of paper by , 2003 .

[25]  Domenico Prattichizzo,et al.  Stabilization of a Hierarchical Formation of Unicycle Robots with Velocity and Curvature Constraints , 2009, IEEE Transactions on Robotics.

[26]  Zhaowei Sun,et al.  Finite-time attitude synchronization controllers design for spacecraft formations via behavior-based approach , 2013 .

[27]  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).

[28]  Philippe Martinet,et al.  Adaptable Robot Formation Control: Adaptive and Predictive Formation Control of Autonomous Vehicles , 2014, IEEE Robotics & Automation Magazine.

[29]  Maarouf Saad,et al.  Nonlinear coordination control for a group of mobile robots using a virtual structure , 2011 .

[30]  Fumio Miyazaki,et al.  A stable tracking control method for an autonomous mobile robot , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[31]  Nicolas Jouandeau,et al.  A Survey and Analysis of Multi-Robot Coordination , 2013 .

[32]  Danwei Wang,et al.  Modeling and Analysis of Skidding and Slipping in Wheeled Mobile Robots: Control Design Perspective , 2008, IEEE Transactions on Robotics.

[33]  Hung-Wei Lin,et al.  Type-2 Fuzzy Formation Control for Collision-Free Multi-Robot Systems , 2013 .