Robust finite-time tracking control of nonholonomic mobile robots without velocity measurements

The problem of robust finite-time trajectory tracking of nonholonomic mobile robots with unmeasurable velocities is studied. The contributions of the paper are that: first, in the case that the angular velocity of the mobile robot is unmeasurable, a composite controller including the observer-based partial state feedback control and the disturbance feed-forward compensation is designed, which guarantees that the tracking errors converge to zero in finite time. Second, if the linear velocity as well as the angular velocity of mobile robot is unmeasurable, with a stronger constraint, the finite-time trajectory tracking control of nonholonomic mobile robot is also addressed. Finally, the effectiveness of the proposed control laws is demonstrated by simulation.

[1]  Zhong-Ping Jiang,et al.  A global output-feedback controller for simultaneous tracking and stabilization of unicycle-type mobile robots , 2004, IEEE Transactions on Robotics and Automation.

[2]  V. Haimo Finite time controllers , 1986 .

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

[4]  Haibo Du,et al.  Global finite-time stabilisation using bounded feedback for a class of non-linear systems , 2012 .

[5]  Arie Levant,et al.  Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence , 2001, IEEE Trans. Autom. Control..

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

[7]  Zhong-Ping Jiang,et al.  Adaptive stabilization and tracking control of a nonholonomic mobile robot with input saturation and disturbance , 2013, Syst. Control. Lett..

[8]  Zhihong Man,et al.  Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems , 2009, IEEE/ASME Transactions on Mechatronics.

[9]  Christopher Edwards,et al.  Sliding Mode Control and Observation , 2013 .

[10]  Joao P. Hespanha Stabilization of Nonholonomic Integrators via Logic-Based Switching , 1996 .

[11]  Yangming Zhang,et al.  Finite-time cascaded tracking control approach for mobile robots , 2014, Inf. Sci..

[12]  Sun Haibin,et al.  Finite time tracking control of a nonholonomic mobile robot with external disturbances , 2012, Proceedings of the 31st Chinese Control Conference.

[13]  Zhong-Ping Jiang Lyapunov design of global state and output feedback trackers for non-holonomic control systems , 2000 .

[14]  R. W. Brockett,et al.  Asymptotic stability and feedback stabilization , 1982 .

[15]  Zhao Wang,et al.  Finite-Time Tracking Control of a Nonholonomic Mobile Robot , 2008 .

[16]  Ji Li,et al.  Global finite-time stabilization by output feedback for planar systems without observable linearization , 2005, IEEE Transactions on Automatic Control.

[17]  E. Ryan Finite-time stabilization of uncertain nonlinear planar systems , 1991 .

[18]  O. J. Sordalen,et al.  Exponential stabilization of mobile robots with nonholonomic constraints , 1992 .

[19]  H. Nijmeijer,et al.  An observer-controller combination for a unicycle mobile robot , 2005 .

[20]  Zhong-Ping Jiang,et al.  Adaptive output feedback tracking control of a nonholonomic mobile robot , 2014, Autom..

[21]  Gildas Besancon,et al.  Global output feedback tracking control for a class of Lagrangian systems , 2000, Autom..

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

[23]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

[24]  Chunjiang Qian,et al.  Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems , 2006, IEEE Transactions on Automatic Control.

[25]  S. Sastry,et al.  Nonholonomic motion planning: steering using sinusoids , 1993, IEEE Trans. Autom. Control..

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

[27]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[28]  Norihiko Adachi,et al.  Adaptive tracking control of a nonholonomic mobile robot , 2000, IEEE Trans. Robotics Autom..

[29]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[30]  Kostas J. Kyriakopoulos,et al.  Viability control for a class of underactuated systems , 2013, Autom..

[31]  Bin Wang,et al.  Finite-time tracking controller design for nonholonomic systems with extended chained form , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[32]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[33]  Claude Samson,et al.  Time-varying Feedback Stabilization of Car-like Wheeled Mobile Robots , 1993, Int. J. Robotics Res..

[34]  Zhong-Ping Jiang,et al.  Simultaneous tracking and stabilization of mobile robots: an adaptive approach , 2004, IEEE Transactions on Automatic Control.

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

[36]  M. Zak Terminal attractors for addressable memory in neural networks , 1988 .

[37]  Yiguang Hong,et al.  Stabilization of uncertain chained form systems within finite settling time , 2005, IEEE Transactions on Automatic Control.

[38]  Yigang He,et al.  Finite-Time Synchronization of a Class of Second-Order Nonlinear Multi-Agent Systems Using Output Feedback Control , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[39]  Shihua Li,et al.  Finite-time tracking control of multiple nonholonomic mobile robots , 2012, J. Frankl. Inst..

[40]  C. Qian,et al.  Global output feedback stabilization of upper‐triangular nonlinear systems using a homogeneous domination approach , 2006 .

[41]  Ji Li,et al.  Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems , 2010, Int. J. Control.