Finite-time output feedback tracking control for a nonholonomic wheeled mobile robot

Abstract The finite-time tracking control problem via output feedback for a nonholonomic wheeled mobile robot with a higher-order dynamic model is investigated in this paper. To solve the problem when the robot's velocities cannot be measured, some coordinate changes are skillfully introduced at the first step. Then based on the fast finite-time control algorithm, a fast finite-time state feedback controller is designed and then a fast finite-time observer is constructed. Finally, an observer-based dynamic output feedback controller is proposed, which can guarantee that the reference trajectory can be tracked in a finite time through a rigorous stability analysis. An example is given to verify the efficiency of the proposed method.

[1]  Yigang He,et al.  Distributed Finite-Time Cooperative Control of Multiple High-Order Nonholonomic Mobile Robots , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[2]  Wei Xing Zheng,et al.  Second-Order Sliding-Mode Controller Design and Its Implementation for Buck Converters , 2018, IEEE Transactions on Industrial Informatics.

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

[4]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[5]  M. Dambrine,et al.  Output feedback controller design of a unicycle-type mobile robot with delayed measurements [Brief Paper] , 2012 .

[6]  Henk Nijmeijer,et al.  Tracking Control of Mobile Robots: A Case Study in Backstepping , 1997, Autom..

[7]  Ella M. Atkins,et al.  Distributed multi‐vehicle coordinated control via local information exchange , 2007 .

[8]  Bo Li,et al.  Disturbance observer based finite-time attitude control for rigid spacecraft under input saturation , 2014 .

[9]  Yuehua Huang,et al.  Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers , 2009, IEEE Transactions on Automatic Control.

[10]  A. Astolfi Discontinuous control of nonholonomic systems , 1996 .

[11]  Jie Huang,et al.  On an output feedback finite-time stabilization problem , 2001, IEEE Trans. Autom. Control..

[12]  Zhao Wang,et al.  Finite‐time tracking control of a nonholonomic mobile robot , 2009 .

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

[14]  Guanghui Wen,et al.  Finite-time consensus of multiple nonholonomic chained-form systems based on recursive distributed observer , 2015, Autom..

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

[16]  Chuanjiang Li,et al.  Finite-time output feedback attitude control for spacecraft using “Adding a power integrator” technique , 2017 .

[17]  Qi Li,et al.  Global uniform asymptotical stability of a class of nonlinear cascaded systems with application to a nonholonomic wheeled mobile robot , 2010, Int. J. Syst. Sci..

[18]  Qinglei Hu,et al.  Smooth finite-time fault-tolerant attitude tracking control for rigid spacecraft , 2016 .

[19]  Jun Yang,et al.  A Nonsmooth Composite Control Design Framework for Nonlinear Systems With Mismatched Disturbances: Algorithms and Experimental Tests , 2018, IEEE Transactions on Industrial Electronics.

[20]  Danwei Wang,et al.  Bounded finite-time attitude tracking control for rigid spacecraft via output feedback , 2017 .

[21]  Junyong Zhai,et al.  Adaptive sliding mode trajectory tracking control for wheeled mobile robots , 2019, Int. J. Control.

[22]  Guanghui Wen,et al.  Distributed Formation Control of Multiple Quadrotor Aircraft Based on Nonsmooth Consensus Algorithms , 2019, IEEE Transactions on Cybernetics.

[23]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[24]  Xinghuo Yu,et al.  Chattering-free discrete-time sliding mode control , 2016, Autom..

[25]  João Pedro Hespanha,et al.  Stabilization of nonholonomic integrators via logic-based switching , 1999, Autom..

[26]  Shihua Li,et al.  Prescribed-Time Second-Order Sliding Mode Controller Design Subject to Mismatched Term , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[27]  Yu-Ping Tian,et al.  A Time-varying Cascaded Design for Trajectory Tracking Control of Nonholonomic Systems , 2006, 2006 Chinese Control Conference.

[28]  Haoyong Yu,et al.  Practically Oriented Finite-Time Control Design and Implementation: Application to a Series Elastic Actuator , 2018, IEEE Transactions on Industrial Electronics.

[29]  Qinglei Hu,et al.  Attitude output feedback control for rigid spacecraft with finite-time convergence. , 2017, ISA transactions.

[30]  Shihua Li,et al.  Attitude Synchronization for Flexible Spacecraft With Communication Delays , 2016, IEEE Transactions on Automatic Control.