Trajectory planning and optimized adaptive control for a class of wheeled inverted pendulum vehicle models

IEEE Transactions on Cybernetics

Volumn 43, Issue 1, 2013, Pages 24-36

  Yang, Chenguang ^a   Li, Zhijun ^b,c   Li, Jing ^d  

^a UNIVERSITY OF PLYMOUTH   (United Kingdom)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^d XIDIAN UNIVERSITY   (China)

Author keywords

Linear quadratic regulation (LQR); Model reference control; Optimization; Wheeled inverted pendulum (WIP)

Indexed keywords

EXTERNAL UNCERTAINTIES; LINEAR QUADRATIC REGULATIONS; MODEL REFERENCE CONTROL; OPTIMIZATION TECHNIQUES; OPTIMIZED ADAPTIVE CONTROLS; TRAJECTORY GENERATION; UNDER-ACTUATED MECHANISM; WHEELED INVERTED PENDULUM;

DYNAMICS; MODELS; OPTIMIZATION; PENDULUMS; TRAJECTORIES; VEHICLES; VELOCITY;

ADAPTIVE CONTROL SYSTEMS;

EID: 84879521499     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2012.2198813     Document Type: Article

References (55)

1. L. Wang, "Stable adaptive fuzzy controllers with application to inverted pendulum tracking," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 26, no. 5, pp. 677-691, Oct. 1996.
2. R. Fierro, F. Lewis, and A. Lowe, "Hybrid control for a class of underactuated mechanical systems," IEEE Trans. Syst., Man, Cybern. A, Syst., Humans, vol. 29, no. 6, pp. 649-654, Nov. 1999.
3. W. S. Lu and Q. H. Meng, "Impedance control with adaptation for robotic manipulator," IEEE Trans. Robot. Autom., vol. 7, no. 3, pp. 408-415, Jun. 1991.
4. W. Chen and J. Li, "Decentralized output-feedback neural control for systems with unknown interconnections," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 1, pp. 258-266, Feb. 2008.
5. W. Chen, L. C. Jiao, and Z. B. Du, "Output-feedback adaptive dynamic surface control of stochastic nonlinear systems using neural network," IET Control Theory Appl., vol. 4, no. 12, pp. 3012-3021, Dec. 2010.
6. W. Chen, "Adaptive backstepping dynamic surface control for systems with periodic disturbances using neural networks," IET Control Theory Appl., vol. 3, no. 10, pp. 1383-1394, Oct. 2009.
7. W. Chen and Z. Zhang, "Globally stable adaptive backstepping fuzzy control for output-feedback systems with unknown high-frequency gain sign," Fuzzy Sets Syst., vol. 161, no. 6, pp. 821-836, Mar. 2010.
8. W. Chen, L. Jiao, J. Li, and R. Li, "Adaptive NN backstepping outputfeedback control for stochastic nonlinear strict-feedback systems with time-varying delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 3, pp. 939-950, Jun. 2010.
9. M. Chen and S. S. Ge, "Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities," IEEE Trans. Neural Netw., vol. 21, no. 5, pp. 796-812, May 2010.
10. M. Chen and S. S. Ge, "Adaptive tracking control of uncertain MIMO nonlinear systems with input saturation," Automatica, vol. 47, no. 3, pp. 452-465, Mar. 2011.
11. S. Yang and M. Meng, "Neural network approaches to dynamic collisionfree trajectory generation," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 31, no. 3, pp. 302-318, Jun. 2001.
12. D. Xu, D. Zhao, J. Yi, and X. Tan, "Trajectory tracking control of omnidirectional wheeled mobile manipulators: Robust neural network-based sliding mode approach," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 3, pp. 788-799, Jun. 2009.
13. W. Chen and L. Jiao, "Adaptive tracking for periodically time-varying and nonlinearly parameterized systems using multilayer neural networks," IEEE Trans. Neural Netw., vol. 21, no. 2, pp. 345-351, Feb. 2010.
14. V. Cherkassky, D. Ghering, and F. Mulier, "Comparison of adaptive methods for function estimation from samples," IEEE Trans. Neural Netw., vol. 7, no. 4, pp. 969-984, Jul. 1996.
15. E. B. Kosmatopoulos, M. M. Polycarpou, M. A. Christodoulou, and P. A. Ioannou, "High-order neural network structures for identification of dynamical systems," IEEE Trans. Neural Netw., vol. 6, no. 2, pp. 422-431, Mar. 1995.
16. P. Paretto and J. J. Niez, "Long term memory storage capacity of multi-connected neural networks," Biol. Cybern., vol. 54, no. 1, pp. 53-63, 1986.
17. C. L. Giles and T. Maxwell, "Learning, invariance, and generalization in high-order neural networks," Appl. Opt., vol. 26, no. 23, pp. 4972-4978, Dec. 1987.
18. M. M. Gupta and D. H. Rao, Neuro-Control Systems: Theory and Applications. New York: IEEE Press, 1994.
19. M. M. Polycarpou and P. Ioannou, "Learning and convergence analysis of neural-type structured networks," IEEE Trans. Neural Netw., vol. 3, no. 1, pp. 39-50, Jan. 1992.
20. J. R. Munkres, Analysis on Manifolds. Reading, MA: Addison-Wesley, 1991.
21. F. Grasser, A. Arrigo, S. Colombi, and A. C. Rufer, "JOE: A mobile, inverted pendulum," IEEE Trans. Ind. Electron., vol. 49, no. 1, pp. 107-114, Feb. 2002.
22. R. Brooks, L. Aryanada, A. Edsinger, P. Fitzpatrick, C. C. Kemp, U. O'Reilly, E. Torres-Jara, P. Varshavskaya, and J. Weber, "Sensing and manipulating built-for-human environments," Int. J. Humanoid Robot., vol. 1, no. 1, pp. 1-28, Mar. 2004.
23. Z. Li and J. Luo, "Adaptive robust dynamic balance andmotion controls of mobile wheeled inverted pendulums," IEEE Trans. Control Syst. Technol., vol. 17, no. 1, pp. 233-241, Jan. 2009.
24. K. Pathak, J. Franch, and S. K. Agrawal, "Velocity and position control of a wheeled inverted pendulum by partial feedback linearization," IEEE Trans. Robot., vol. 21, no. 3, pp. 505-513, Jun. 2005.
25. N. R. Gans and S. A. Hutchinson, "Visual servo velocity and pose control of a wheeled inverted pendulum through partial-feedback linearization," in Proc. IEEE/RSJ Int. Conf. Intel. Robots Syst., 2006, pp. 3823-3828.
26. G. Campion, G. Bastin, and B. Dandrea-Novel, "Structural properties and classification of kinematic and dynamic models of wheeled mobile robots," IEEE Trans. Robot. Autom., vol. 12, no. 1, pp. 47-62, Feb. 1996.
27. Z. Li, C. Yang, and J. Gu, "Neuro-adaptive compliant force/motion control for uncertain constrained wheeled mobile manipulator," Int. J. Robot. Autom., vol. 22, no. 3, pp. 206-214, 2007.
28. H. Arai and K. Tanie, "Nonholonomic control of a three-DOF planar underactuated manipulator," IEEE Trans. Robot. Autom., vol. 14, no. 5, pp. 681-694, Oct. 1998.
29. A. De Luca and G. Oriolo, "Trajectory planning and control for planar robots with passive last joint," Int. J. Robot. Res., vol. 21, no. 5-6, pp. 575-590, May 2002.
30. Z. Li and C. Yang, "Neural-adaptive output feedback control of a class of transportation vehicles based on wheeled inverted pendulum models," IEEE Trans. Control Syst. Technol., 2011. doi:10.1109/TCST.2011. 216822, to be published.
31. Z. Li and Y. Zhang, "Robust adaptive motion/force control for wheeled inverted pendulums," Automatica, vol. 46, no. 8, pp. 1346-1353, Aug. 2010.
32. W. S. Lu and Q. H. Meng, "Impedance control with adaptation for robotic manipulations," IEEE Trans. Robot. Autom., vol. 7, no. 3, pp. 408-415, Jun. 1991.
33. R. Colbaugh, H. Seraji, and K. Glass, "Direct adaptive impedance control of manipulators," in Proc. 30th Conf. Decision Control, 1991, pp. 2410-2415.
34. K. Wedeward and R. Colbaugh, "New stability results for direct adaptive impedance control," in Proc. IEEE Int. Symp. Intell. Control, 1995, pp. 281-287.
35. A. R. Barron, "Universal approximation bounds for superposition for a sigmoidal function," IEEE Trans. Inf. Theory, vol. 39, no. 3, pp. 930-945, May 1993.
36. T. P. Chen and H. Chen, "Approximation capability to functions of several variables, nonlinear functionals, and operators by radial basis function neural networks," IEEE Trans. Neural Netw., vol. 6, no. 4, pp. 904-910, Jul. 1995.
37. V. Cherkassky, D. Ghering, and F. Mulier, "Comparison of adaptive methods for function estimation from samples," IEEE Trans. Neural Netw., vol. 7, no. 4, pp. 969-984, Jul. 1996.
38. E. B. Kosmatopoulos, M. M. Polycarpou, M. A. Christodoulou, and P. A. Ioannou, "High-order neural network structures for identification of dynamical systems," IEEE Trans. Neural Netw., vol. 6, no. 2, pp. 422-431, Mar. 1995.
39. P. Paretto and J. J. Niez, "Long term memory storage capacity of multi-connected neural networks," Biol. Cybern., vol. 54, no. 1, pp. 53-63, May 1986.
40. C. L. Giles and T. Maxwell, "Learning, invariance, and generalization in high-order neural networks," Appl. Opt., vol. 26, no. 23, pp. 4972-4978, Dec. 1987.
41. M. M. Gupta and D. H. Rao, Neuro-Control Systems: Theory and Applications. New York: IEEE Press, 1994.
42. M. M. Polycarpou and P. Ioannou, "Learning and convergence analysis of neural-type structured networks," IEEE Trans. Neural Netw., vol. 3, no. 1, pp. 39-50, Jan. 1992.
43. J. R. Munkres, Analysis on Manifolds. Reading, MA: Addison-Wesley, 1991.
44. B. D. O. Anderson and J. B. Moore, Optimal Control. London, U.K.: Prentice-Hall, 1989.
45. B. Siciliano, L. Sciavicco, L. Villani, and G. Oriolo, Robotics: Modelling, Planning and Control. New York: Springer-Verlag, 2008.
46. H. K. Khalil, Nonlinear Systems., 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
47. Y. J. Liu, C. L. P. Chen, G. X. Wen, and S. C. Tong, "Adaptive neural output feedback tracking control for a class of uncertain discrete-time nonlinear systems," IEEE Trans. Neural Netw., vol. 22, no. 7, pp. 1162-167, Jul. 2011.
48. W. Chen, L. Jiao, R. Li, and J. Li, "Adaptive backstepping fuzzy control for nonlinearly parameterized systems with periodic disturbances," IEEE Trans. Fuzzy Syst., vol. 18, no. 4, pp. 674-685, Aug. 2010.
49. R. Cui and W. Yan, "Mutual synchronization of multiple robot manipulators with unknown dynamics," J. Intell. Robot. Syst., Apr. 2012. doi:10.1007/s10846-012-9674-9, to be published.
50. Y. J. Liu, S. C. Tong, D. Wang, T. S. Li, and C. L. P. Chen, "Adaptive neural output feedback controller design with reduced-order observer for a class of uncertain nonlinear SISO systems," IEEE Trans. Neural Netw., vol. 22, no. 8, pp. 1328-1334, Aug. 2011.
51. R. Cui, W. Yan, and D. Xu, "Synchronization of multiple autonomous underwater vehicles without velocity measurements," Sci. China Inf. Sci., 2012. doi:10.1007/s11432-012-4579-6, to be published.
52. Y. J. Liu and W. Wang, "Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems," Inf. Sci., vol. 177, no. 18, pp. 3901-3917, Sep. 2007.
53. Y. J. Liu, W. Wang, S. C. Tong, and Y. S. Liu, "Robust adaptive tracking control for nonlinear systems based on bounds of fuzzy approximation parameters," IEEE Trans. Syst., Man, Cybern. A, Syst., Humans, vol. 40, no. 1, pp. 170-184, Jan. 2010.
54. R. Cui, B Gao, and J. Guo, "Pareto-optimal coordination of multiple robots with safety guarantees," Autonomous Robots, vol. 32, no. 3, pp. 189-205, 2012.
55. C. Yang, S. S. Ge, C. Xiang, T. Chai, and T. H. Lee, "Output feedback NN control for two classes of discrete-time systems with unknown control directions in a unified approach," IEEE Trans. Neural Netw., vol. 19, no. 11, pp. 1873-1886, Nov. 2008.