Saturated Nussbaum Function Based Approach for Robotic Systems with Unknown Actuator Dynamics

IEEE Transactions on Cybernetics

Volumn 46, Issue 10, 2016, Pages 2311-2322

  Chen, Ci ^a   Liu, Zhi ^a   Zhang, Yun ^a   Chen, C L Philip ^b   Xie, Shengli ^a  

^a GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF MACAU   (Macao)

Author keywords

Actuator dynamics; adaptive control; robotic systems; saturated Nussbaum function

Indexed keywords

ACTUATORS; ADAPTIVE CONTROL SYSTEMS; FUNCTIONS;

ACTUATOR DYNAMICS; ACTUATOR NONLINEARITIES; ADAPTIVE CONTROL; COMPARATIVE STUDIES; DESIRED TRAJECTORIES; NUSSBAUM FUNCTIONS; ROBOTIC SYSTEMS; STABILITY ANALYSIS;

ROBOTICS;

EID: 84942465504     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2015.2475363     Document Type: Article

References (38)

1. F. L. Lewis, D. M. Dawson, and C. T. Abdallah, Robot Manipulator Control: Theory and Practice. Boca Raton, FL, USA: CRC Press, 2003.
2. B. Siciliano and O. Khatib, Springer Handbook of Robotics. Berlin, Germany: Springer, 2008.
3. M. W. Spong and M. Vidyasagar, Robot Dynamics and Control. New York, NY, USA: Wiley, 2008.
4. J.-J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ, USA: Prentice-Hall, 1991.
5. Y. Xia, J. Wang, and L. M. Fok, "Grasping-force optimization for multifingered robotic hands using a recurrent neural network, " IEEE Trans. Robot. Autom., vol. 20, no. 3, pp. 549-554, Jun. 2004.
6. J. Wang, "Analysis and design of a k-winners-take-all model with a single state variable and the heaviside step activation function, " IEEE Trans. Neural Netw., vol. 21, no. 9, pp. 1496-1506, Sep. 2010.
7. M.-J. Han, C.-H. Lin, and K.-T. Song, "Robotic emotional expression generation based on mood transition and personality model, " IEEE Trans. Cybern., vol. 43, no. 4, pp. 1290-1303, Aug. 2013.
8. B. Fu, Y. Xiao, X. Liang, and C. L. P. Chen, "Bio-inspired group modeling and analysis for intruder detection in mobile sensor/robotic networks, " IEEE Trans. Cybern., vol. 45, no. 1, pp. 103-115, Jan. 2015.
9. S. Tatinati, K. C. Veluvolu, and W. T. Ang, "Multistep prediction of physiological tremor based on machine learning for robotics assisted microsurgery, " IEEE Trans. Cybern., vol. 45, no. 2, pp. 328-339, Feb. 2015.
10. M. S. Erden and A. Billard, "End-point impedance measurements across dominant and nondominant hands and robotic assistance with directional damping, " IEEE Trans. Cybern., vol. 45, no. 6, pp. 1146-1157, Jun. 2015.
11. J. Wang, Z. Zeng, and Z. Hou, "Advances in neural networks, " Neurocomputing, vol. 149, pp. 1-2, Feb. 2015.
12. Z. Li and S. S. Ge, Fundamentals in Modeling and Control of Mobile Manipulators, vol. 49. Boca Raton, FL, USA: CRC Press, 2013.
13. S. Hussain, S. Q. Xie, and P. K. Jamwal, "Adaptive impedance control of a robotic orthosis for gait rehabilitation, " IEEE Trans. Cybern., vol. 43, no. 3, pp. 1025-1034, Jun. 2013.
14. E. Nichols, L. J. McDaid, and N. H. Siddique, "Biologically inspired SNN for robot control, " IEEE Trans. Cybern., vol. 43, no. 1, pp. 115-128, Feb. 2013.
15. R. D. Nussbaum, "Some remarks on a conjecture in parameter adaptive control, " Syst. Control Lett., vol. 3, no. 5, pp. 243-246, Nov. 1983.
16. B. Mårtensson, "Remarks on adaptive stabilization of first order nonlinear systems, " Syst. Control Lett., vol. 14, no. 1, pp. 1-7, Jan. 1990.
17. S. S. Ge and J. Wang, "Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems, " IEEE Trans. Neural Netw., vol. 13, no. 6, pp. 1409-1419, Nov. 2002.
18. Z. Ding, "Adaptive control of non-linear systems with unknown virtual control coefficients, " Int. J. Adapt. Control Signal Process., vol. 14, no. 5, pp. 505-517, Aug. 2000.
19. X. Ye and J. Jiang, "Adaptive nonlinear design without a priori knowledge of control directions, " IEEE Trans. Autom. Control, vol. 43, no. 11, pp. 1617-1621, Nov. 1998.
20. Y. Zhang, C. Wen, and Y. C. Soh, "Adaptive backstepping control design for systems with unknown high-frequency gain, " IEEE Trans. Autom. Control, vol. 45, no. 12, pp. 2350-2354, Dec. 2000.
21. T. Zhang and S. S. Ge, "Adaptive neural network tracking control of MIMO nonlinear systems with unknown dead zones and control directions, " IEEE Trans. Neural Netw., vol. 20, no. 3, pp. 483-497, Mar. 2009.
22. S. S. Ge and J. Wang, "Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients, " IEEE Trans. Autom. Control, vol. 48, no. 8, pp. 1463-1469, Aug. 2003.
23. Y.-J. Liu and Z.-F. Wang, "Adaptive fuzzy controller design of nonlinear systems with unknown gain sign, " Nonlin. Dyn., vol. 58, no. 4, pp. 687-695, Dec. 2009.
24. Z. Yu, Z. Jin, and H. Du, "Adaptive neural control for a class of non-affine stochastic non-linear systems with time-varying delay: A Razumikhin-Nussbaum method, " IET Control Theory Appl., vol. 6, no. 1, pp. 14-23, Jan. 2012.
25. Z. Zhang, S. Xu, and B. Zhang, "Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity, " IEEE Trans. Autom. Control, vol. 59, no. 5, pp. 1336-1341, May 2014.
26. Z. Yang, Q. Yang, and Y. Sun, "Adaptive neural control of nonaffine systems with unknown control coefficient and nonsmooth actuator nonlinearities, " IEEE Trans. Neural Netw. Learn. Syst., vol. 26, no. 8, pp. 1822-1827, Aug. 2015.
27. Y. Xudong, "Decentralized adaptive regulation with unknown highfrequency-gain signs, " IEEE Trans. Autom. Control, vol. 44, no. 11, pp. 2072-2076, Nov. 1999.
28. S. S. Ge, F. Hong, and T. H. Lee, "Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients, " IEEE Trans. Syst. Man, Cybern. B, Cybern., vol. 34, no. 1, pp. 499-516, Feb. 2004.
29. S. Tong, C. Liu, and Y. Li, "Fuzzy-adaptive decentralized outputfeedback control for large-scale nonlinear systems with dynamical uncertainties, " IEEE Trans. Fuzzy Syst., vol. 18, no. 5, pp. 845-861, Oct. 2010.
30. X. Ye, "Decentralized adaptive stabilization of large-scale nonlinear time-delay systems with unknown high-frequency-gain signs, " IEEE Trans. Autom. Control, vol. 56, no. 6, pp. 1473-1478, Jun. 2011.
31. Y. Li, S. Tong, and T. Li, "Observer-based adaptive fuzzy tracking control of MIMO stochastic nonlinear systems with unknown control direction and unknown dead-zones, " IEEE Trans. Fuzzy Syst., vol. 23, no. 4, pp. 1228-1241, Aug. 2015.
32. M. M. Arefi and M. R. Jahed-Motlagh, "Observer-based adaptive neural control of uncertain MIMO nonlinear systems with unknown control direction, " Int. J. Adapt. Control Signal Process., vol. 27, no. 9, pp. 741-754, Sep. 2013.
33. W. Shi, "Adaptive fuzzy control for MIMO nonlinear systems with nonsymmetric control gain matrix and unknown control direction, " IEEE Trans. Fuzzy Syst., vol. 22, no. 5, pp. 1288-1300, Oct. 2014.
34. J. Ma, Z. Zheng, and P. Li, "Adaptive dynamic surface control of a class of nonlinear systems with unknown direction control gains and input saturation, " IEEE Trans. Cybern., vol. 45, no. 4, pp. 728-741, Apr. 2015.
35. Q. Zhou, P. Shi, Y. Tian, and M. Wang, "Approximation-based adaptive tracking control for MIMO nonlinear systems with input saturation, " IEEE Trans. Cybern., to be published.
36. W. Chen, X. Li, W. Ren, and C. Wen, "Adaptive consensus of multiagent systems with unknown identical control directions based on a novel Nussbaum-type function, " IEEE Trans. Autom. Control, vol. 59, no. 7, pp. 1887-1892, Jul. 2014.
37. C. Chen, Z. Liu, Y. Zhang, and C. L. P. Chen, "Adaptive control of robotic systems with unknown actuator nonlinearities and control directions, " Nonlin. Dyn., vol. 81, no. 3, pp. 1289-1300, Aug. 2015.
38. A. Scheinker and M. Krstic, "Minimum-seeking for CLFs: Universal semiglobally stabilizing feedback under unknown control directions, " IEEE Trans. Autom. Control, vol. 58, no. 5, pp. 1107-1122, May 2013.