Browse > Article

An Adaptive Fuzzy Backstepping Approach to Robust Tracking Control of a Single-Link Flexible Joint Robot  

김은태 (연세대학교 전기전자공학부)
이희진 (국립 한경대학교 정보제어공학과)
Publication Information
Abstract
This paper presents an adaptive fuzzy backstepping (AFB) controller for a single-link flexible joint robot in the Presence of Parametric uncertainties and external disturbances. Adaptive fuzzy logic systems are used as universal approximators to counteract the model uncertainties coming from robot dynamics and to compensate for the nonlinearities coming from adaptive backstepping method. The approach suggested herein does not require neither an additional supervisory nor a robustifying controller and guarantees that tracking error is uniformly ultimately bounded (UUB) within a sufficiently small residual set. Finally, a simulation result is given to demonstrate the robust tracking performance of proposed design method.
Keywords
적응형 퍼지;유연관절 로봇;절대상시유계;백스테핑;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, 1991
2 B. S. Chen, H. J. Uang and C. S. Tseng, 'Robust tracking enhancement of robot systems including motor dynamics: A fuzzy-based dynamic game approach,' IEEE Trans. Fuzzy Systems, vol. 6, no. 4, pp 538-552, 1998   DOI   ScienceOn
3 R. Ordonez and K. M. Passino, 'Stable multi-input multi-output adaptive fuzzy/neural control,' IEEE Trans. Fuzzy Systems, vol. 7, no. 3, pp 345-353, Jun., 1999   DOI   ScienceOn
4 Y. -C. Chang and B. -S. Chen, 'Robust tracking designs for both holonomic and nonholonomic constrained mechanical systems: adaptive fuzzy approach,' IEEE Trans. Fuzzy Systems, vol. 8, no. 1, pp 46-66, 2000   DOI   ScienceOn
5 Y. -C. Chang, 'Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS and $H{\infty}$ approaches,' IEEE Trans. Fuzzy Systems, vol. 9, no. 2, pp. 278-292, 2001   DOI   ScienceOn
6 E. Kim, 'A fuzzy disturbance observer and its application to control,' IEEE Trans. Fuzzy Systems, vol. 10, no. 1, pp. 77-84, Feb., 2002   DOI   ScienceOn
7 J. L. Castro and M. Delgado, 'Fuzzy systems with defuzzification are universal approximators,' IEEE Trans. Sys. Man and Cyber., vol. 26, pp. 149-152, 1996   DOI
8 L.X. Wang, 'Fuzzy systems are universal approximators,' in Proc. of IEEE Int. Conf. Fuzzy Syst., San Diego, CA, pp. 1163-1170, 1992   DOI
9 X. Zeng and M. G. Singh, 'Approximation theory of fuzzy systems-MIMO case,' IEEE Trans. Fuzzy Systems, vol. 3, No. 2, pp 219-235, May 1995   DOI   ScienceOn
10 H. Lee and M. Tomizuka, 'Robust adaptive control using a universal approximator for SISO nonlinear systems,' IEEE Trans. Fuzzy Systems, vol. 8, No. 1, pp 95-106, Feb., 2000   DOI   ScienceOn
11 C. Kwan and F. Lewis, 'Robust backstepping control of induction motors using neural networks,' IEEE Trans. Neural Networks, vol. 11, no. 5, pp. 1178-1187, Sep., 2000   DOI   ScienceOn
12 L. X. Wang, 'Stable adaptive fuzzy control of nonlinear systems,' IEEE Transaction on Fuzzy Systems, Vol. 1, pp. 146-155, 1993   DOI
13 B. Brogliato, R. Ortega, and R. Lozano, 'Global tracking controller for flexible joint manipulators: A comparative study,' Automatica, vol. 31, no. 7, pp. 941-956, 1995   DOI   ScienceOn
14 H. A. Malki, D. Misir, D. Feigenspan, and G. Chen, 'Fuzzy PID control of a flexible-joint robot arm with uncertainties from time-varying loads,' IEEE Trans. Contr. Sys. Tech., vol. 5, no. 3, pp. 371-378, 1997   DOI   ScienceOn
15 L. M. Sweet and M. C. Good, 'Redefinition of the robot motion control problem: Effects of plant dynamics, drive system constraints, and user requirements,' in Proc of 23nd IEEE Conf. Decision Control, Las Vegas, pp. 724-730, 1984
16 M. Spong, 'Modeling and control of elastic joint robots,' J. Dynamic Syst., Meas., Contr., vol. 109, pp. 310-319, Dec. 1987.   DOI
17 M. Spong and M. Vidyasagar, Robot Dynamics and Control, Wiley:NY, 1989
18 R. Lozano and B. Brogliato, 'Adaptive control of robot manipulators with flexible joints,' IEEE Trans. Autom. Control, AC-37, pp. 174-181, 1992   DOI   ScienceOn
19 P. Seibert and R. Suarez, 'Global stabilization of cascade systems,' Syst. Control Lett., vol 14, pp. 347-352, 1990   DOI   ScienceOn
20 S. Nicosia and P. Tomei, 'A method to design adaptive controller for flexible joints robots,' in Proc. IEEE Int. Conf. Robotics Automations, Nice, France, pp. 701-706, 1992