Point Stabilization Control Method for WIP Vehicles Based on Motion Planning

Point stabilization control of wheeled inverted pendulum (WIP) vehicles remains a challenge because of the existing nonholonomic and underactuated characteristics. This paper proposes a point stabilization control method for the WIP vehicle based on motion planning, where a point-to-point motion is achieved by performing pivot steering and longitudinal motion successively to avoid the nonholonomic constraint. Specifically, to handle the underactuated problem, a kinematic coupling-based longitudinal trajectory planning approach is presented, by which both precise longitudinal movement and stability of vehicle body can be guaranteed. Moreover, a mathematical model of parameters optimization problem is deduced with strict analysis, and then the particle swarm optimization algorithm is used to obtain the appropriate trajectory parameters, which ensures the good performance of the trajectory planning method. On this basis, the point stabilization of the WIP vehicle can be effectively realized through a commonly used proportional-integral-derivative control approach. Numerical simulation and experimental study are both conducted to demonstrate the feasibility and effectiveness of the proposed method.

[1]  Khac Duc Do,et al.  Adaptive global stabilization of nonholonomic systems with strong nonlinear drifts , 2002, Syst. Control. Lett..

[2]  Ponnuthurai N. Suganthan,et al.  Population topologies for particle swarm optimization and differential evolution , 2017, Swarm Evol. Comput..

[3]  Alessandro Astolfi,et al.  Discontinuous control of high-order generalized chained systems , 1999 .

[4]  Ming Yue,et al.  A trajectory planning and tracking control approach for obstacle avoidance of wheeled inverted pendulum vehicles , 2018, Int. J. Control.

[5]  Ming Yue,et al.  Constrained Adaptive Robust Trajectory Tracking for WIP Vehicles Using Model Predictive Control and Extended State Observer , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[6]  I. Kolmanovsky,et al.  Hybrid feedback laws for a class of cascade nonlinear control systems , 1996, IEEE Trans. Autom. Control..

[7]  Byung Kook Kim,et al.  Time-Optimal Trajectory Planning Based on Dynamics for Differential-Wheeled Mobile Robots With a Geometric Corridor , 2017, IEEE Transactions on Industrial Electronics.

[8]  Luiz Marcos Garcia Gonçalves,et al.  Nonholonomic mobile robots' trajectory tracking model predictive control: a survey , 2018, Robotica.

[9]  Paul Kotyczka,et al.  Energy shaping for position and speed control of a wheeled inverted pendulum in reduced space , 2016, Autom..

[10]  Wei Lin,et al.  Control of high-order nonholonomic systems in power chained form using discontinuous feedback , 2002, IEEE Trans. Autom. Control..

[11]  Jing Li,et al.  Trajectory Planning and Optimized Adaptive Control for a Class of Wheeled Inverted Pendulum Vehicle Models , 2013, IEEE Transactions on Cybernetics.

[12]  Rongxin Cui,et al.  Adaptive backstepping control of wheeled inverted pendulums models , 2015 .

[13]  Yaonan Wang,et al.  Simultaneous Stabilization and Tracking of Nonholonomic Mobile Robots: A Lyapunov-Based Approach , 2015, IEEE Transactions on Control Systems Technology.

[14]  Ning Sun,et al.  Nonlinear Motion Control of Underactuated Three-Dimensional Boom Cranes With Hardware Experiments , 2018, IEEE Transactions on Industrial Informatics.

[15]  Ravi N. Banavar,et al.  Symmetries in the wheeled inverted pendulum mechanism , 2016, ArXiv.

[16]  Huijun Gao,et al.  Network-Induced Constraints in Networked Control Systems—A Survey , 2013, IEEE Transactions on Industrial Informatics.

[17]  Jafar Keighobadi,et al.  Point stabilization of nonholonomic spherical mobile robot using nonlinear model predictive control , 2017, Robotics Auton. Syst..

[18]  Jun Zhang,et al.  Set-Based Discrete Particle Swarm Optimization Based on Decomposition for Permutation-Based Multiobjective Combinatorial Optimization Problems , 2018, IEEE Transactions on Cybernetics.

[19]  Swagatam Das,et al.  A Fuzzy Rule-Based Penalty Function Approach for Constrained Evolutionary Optimization , 2016, IEEE Transactions on Cybernetics.

[20]  Ming Yue,et al.  Composite Path Tracking Control for Tractor–Trailer Vehicles Via Constrained Model Predictive Control and Direct Adaptive Fuzzy Techniques , 2017 .

[21]  Sangtae Kim,et al.  Nonlinear Optimal Control Design for Underactuated Two-Wheeled Inverted Pendulum Mobile Platform , 2017, IEEE/ASME Transactions on Mechatronics.

[22]  Chun-Yi Su,et al.  Neural Control of Bimanual Robots With Guaranteed Global Stability and Motion Precision , 2017, IEEE Transactions on Industrial Informatics.

[23]  Ming Yue,et al.  Indirect adaptive fuzzy control for a nonholonomic/underactuated wheeled inverted pendulum vehicle based on a data-driven trajectory planner , 2016, Fuzzy Sets Syst..

[24]  Ning Sun,et al.  An efficient online trajectory generating method for underactuated crane systems , 2014 .

[25]  Yu-Ping Tian,et al.  Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control , 2002, Autom..

[26]  Lionel Lapierre,et al.  Distributed Control of Coordinated Path Tracking for Networked Nonholonomic Mobile Vehicles , 2013, IEEE Transactions on Industrial Informatics.

[27]  Yudong Zhang,et al.  A Novel Kinematic Coupling-Based Trajectory Planning Method for Overhead Cranes , 2012, IEEE/ASME Transactions on Mechatronics.

[28]  Ming Yue,et al.  An Efficient Model Predictive Control for Trajectory Tracking of Wheeled Inverted Pendulum Vehicles with Various Physical Constraints , 2018 .

[29]  Jian Huang,et al.  Nonlinear Disturbance Observer-Based Dynamic Surface Control of Mobile Wheeled Inverted Pendulum , 2015, IEEE Transactions on Control Systems Technology.

[30]  Khac Duc Do,et al.  Motion Control of a Two-Wheeled Mobile Vehicle with an Inverted Pendulum , 2010, J. Intell. Robotic Syst..

[31]  Shuang Wang,et al.  Simultaneous balancing and trajectory tracking control for two-wheeled inverted pendulum vehicles: A composite control approach , 2016, Neurocomputing.

[32]  Chun-Yi Su,et al.  Vision-Based Model Predictive Control for Steering of a Nonholonomic Mobile Robot , 2016, IEEE Transactions on Control Systems Technology.

[33]  Kun He,et al.  Multi-objective particle swarm optimization algorithm based on objective space division for the unequal-area facility layout problem , 2018, Expert Syst. Appl..

[34]  Seul Jung,et al.  Control Experiment of a Wheel-Driven Mobile Inverted Pendulum Using Neural Network , 2008, IEEE Transactions on Control Systems Technology.

[35]  Ju-Jang Lee,et al.  Trajectory Optimization With Particle Swarm Optimization for Manipulator Motion Planning , 2015, IEEE Transactions on Industrial Informatics.

[36]  Chenguang Yang,et al.  Model Predictive Control of Nonholonomic Chained Systems Using General Projection Neural Networks Optimization , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[37]  Xuebo Zhang,et al.  A Motion Planning-Based Adaptive Control Method for an Underactuated Crane System , 2012, IEEE Transactions on Control Systems Technology.

[38]  Zhong-Ping Jiang,et al.  Iterative design of time-varying stabilizers for multi-input systems in chained form , 1996 .

[39]  Zhijun Li,et al.  Neural Network Approximation Based Near-Optimal Motion Planning With Kinodynamic Constraints Using RRT , 2018, IEEE Transactions on Industrial Electronics.

[40]  Wilfrid Perruquetti,et al.  Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems , 2003, Autom..

[41]  Wei He,et al.  Vibration Control of a Flexible Robotic Manipulator in the Presence of Input Deadzone , 2017, IEEE Transactions on Industrial Informatics.

[42]  Tianmiao Wang,et al.  Robust Stabilization of a Wheeled Mobile Robot Using Model Predictive Control Based on Neurodynamics Optimization , 2017, IEEE Transactions on Industrial Electronics.

[43]  Chenguang Yang,et al.  Neural-Adaptive Output Feedback Control of a Class of Transportation Vehicles Based on Wheeled Inverted Pendulum Models , 2012, IEEE Transactions on Control Systems Technology.

[44]  Zhong-Ping Jiang,et al.  Saturated stabilization and tracking of a nonholonomic mobile robot , 2001 .

[45]  Yan-Jun Liu,et al.  Adaptive Neural Network-Based Tracking Control for Full-State Constrained Wheeled Mobile Robotic System , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[46]  Jian Huang,et al.  Modeling and Velocity Control for a Novel Narrow Vehicle Based on Mobile Wheeled Inverted Pendulum , 2013, IEEE Transactions on Control Systems Technology.

[47]  Carlos Canudas de Wit,et al.  Hybrid stabilizing control on a real mobile robot , 1995, IEEE Robotics Autom. Mag..