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IssuesArchive of Issues2013-3pp.243-253

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V.I. Matyukhin, "Control of a Wheeled System Taking into Account Its Inertial Properties," Mech. Solids. 48 (3), 243-253 (2013)
Year 2013 Volume 48 Number 3 Pages 243-253
DOI 10.3103/S0025654413030023
Title Control of a Wheeled System Taking into Account Its Inertial Properties
Author(s) V.I. Matyukhin (Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya 65, V-342, GSP-7, Moscow, 117997 Russia, v.matyuhin@mail.ru)
Abstract Mechanical wheeled systems (WS) such as a wheeled tractor, a motor car, a mobile robot, etc. are studied. The well-known trajectory problem, i.e., the problem of controlling the WS motion along a given trajectory, is considered. This problem was solved earlier in the framework of kinematic WS models. The present paper deals with general WS models that additionally take into account inertial properties such as the WS masses and/or moments of inertia. We establish that the WS are subjected to rather significant perturbing forces. A control law stabilizing the WS motion along a given trajectory is constructed.
Keywords nonholonomic system, wheeled system, trajectory control problem, stability, Lyapunov function
References
1.  I. Kolmanovsky and N. H. McClamroch, "Developments in Nonholonomic Control Problems," IEEE Contr. Syst. Mag. 15 (6), 20-36 (1995).
2.  A. Micaelli and C. Samson, "Trajectory Tracking for Two-Steering-Wheels Mobile Robots," in Proc. Symp. Robot Control'94. Capri (1994), pp. 500-506.
3.  P. Morin and C. Samson, "Motion Control of Wheeled Mobile Robots," in Springer Handbook Robotics (Springer, New York, 2008), pp. 799-826.
4.  P. Morin and C. Samson, "Control of Nonholonomic Mobile Robots Based on the Transverse Function Approach," IEEE Trans. Robotics 25 (5), 1058-1073 (2009).
5.  M. Werling, L. Groll, and G. Bretthauer, "Invariant Trajectory Tracking with a Full-Size Autonomous Road Vehicle," IEEE Trans. Robotics 26 (4), 758-765 (2010).
6.  J. Ackermann, J. Guldner, W. Sienel, et al., "Linear and Nonlinear Controller Design for Robust Automatic Steering," IEEE Trans. Control Syst. Technol. 3 (1), 132-143 (1995).
7.  Z. Li, Y. Yang, and J. Li, "Adaptive Motion/Free Control of Mobile Under-Actuated Manipulators with Dynamic Coupling and Output Feedback," IEEE Trans. Control Syst. Technol. 18 (5), 1068-1079 (2010).
8.  L. Cordesses, C. Cariou, and M. Berducat, "Combine Harvester Control Using Real Time Kinematic GPS," Precision Agricult. 2 (2), 147-161 (2000).
9.  R. L. Mailer, "Soil Cultivation Implement Control Apparatus and Method," Invention No. US2004/0111202Al (June 10, 2004).
10.  I. Barabanov, A. Khvalkov, and L. B. Rapoport, "Methods and Apparatuses for Estimating the Position of a Mobile User in a System of Satellite Differential Navigation," US Patent No. US7102563 B2 (February 26, 2004; Published on September 5, 2009).
11.  L. B. Rapoport, M. Ya. Tkachenko, V. G. Mogil'nitskii, et al., "Integrated System of Satellite and Inertial Navigation: Experimental Results and Application to Mobile Robot Control," Giroskop. Navigats. 56 (1), 16-28 (2007).
12.  V. I. Matyukhin, "The Control of a Wheeled Mechanical System," Prikl. Mat. Mekh. 71 (2), 237-249 (2007) [J. Appl. Math. Mech. (Engl. Transl.) 71 (2), 208-220 (2007)].
13.  V. I. Matyukhin, "A Control of a Wheeled System with Account of Side Slip," Izv. Ross. Akad. Nauk. Teor. Sist. Upr., No. 4, 166-176 (2007) [J. Comp. Syst. Sci. Int. (Engl. Transl.) 46 (4), 663-673 (2007)].
14.  V. I. Matyukhin, "Wheeled System Control under Nondeterminacy Conditions," Avtomat. Telemekh., No. 5, 76-94 (2009) [Automat. Remote Control (Engl. Transl.)].
15.  V. I. Matyukhin, "Stabilization of the Motions of Mechanical Systems with Non-Holonomic Constraints," Prikl. Mat. Mekh. 63 (5), 725-735 (1999) [J. Appl. Math. Mech. (Engl. Transl.) 63 (5), 685-694 (1999)].
16.  V. I. Matyukhin, "The Controllability of Non-Holonomic Mechanical Systems with Constrained Controls," Prikl. Mat. Mekh. 68 (5), 758-775 (2004) [J. Appl. Math. Mech. (Engl. Transl.) 68 (5), 675-690 (2004)].
17.  V. I. Matyukhin, Control of Mechanical Systems (Fizmatlit, Moscow, 2009) [in Russian].
18.  V. V. Dobronravov, Foundations of Mechanics of Nonholonomic Systems (Vysshaya Shkola, Moscow, 1970) [in Russian].
19.  P. V. Lineikin, "On Rolling of a Motor Car," in Proc. Saratov Road Institute (1949)
20.  Yu. G. Martynenko, "The Theory of the Generalized Magnus Effect for Non-Holonomic Mechanical Systems," Prikl. Mat. Mekh. 68 (6), 948-957 (2004) [J. Appl. Math. Mech. (Engl. Transl.) 68 (6), 847-855 (2004)].
21.  Yu. G. Martynenko, "Motion Control of Mobile Wheeled Robots," Fund. Prikl. Mat. 11 (8), 29-80 (2005).
22.  L. G. Lobos, Nonholonomic Models of Wheeled Vehicles (Naukova Dumka, Kiev, 1986) [in Russian].
23.  I. V. Novozhilov, "On Skidding in Braking," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 45-50 (1973) [Mech. Solids (Engl. Transl.)].
Received 24 February 2011
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