Linear/Nonlinear Sliding Patch and Stuck Phenomena and Applications of Linear/Nonlinear Sliding Patch and Stuck

선형/비선형 슬라이딩 패치 및 스턱현상과 그 응용

  • Kim, Jin-Wan (Dept.of Electronics Information Engineering, Chonbuk National University) ;
  • Ham, Woon-Chul (Dept.of Electronics Information Engineering, Chonbuk National University)
  • 김진환 (전북대학교 전자정보공학부) ;
  • 함운철 (전북대학교 전자정보공학부)
  • Published : 2000.07.01

Abstract

In this short note the characteristics of a nonlinear system of which the state trajectories are oscillating in the phase plane are overviewed. The physical concept of stuck and sliding patch phenomena are also introduced by adding some switching functions and their stability on the sliding patches are analyzed by using the Lyapunov stability theory and Frobenius theorem.

Keywords

References

  1. V. I. Utkin, 'Variable structure systems with sliding modes,' IEEE Trans. Automat. Contr., vol. AC-22, no. 2, pp. 212-222, April, 1977 https://doi.org/10.1109/TAC.1977.1101446
  2. G. Bartolini and P. Pydynowski, 'An improved, chattering free, V.S.C. scheme for uncertain dynamical systems,' IEEE Trans. Automat. Contr., vol. 41, no. 8, pp. 1220-1226, 1996 https://doi.org/10.1109/9.533691
  3. G. Bartolini, A. Ferrara, and E. Usai, 'Chattering avoidance by second-order sliding mode control,' IEEE Trans. Automat. Contr., vol. 43, no. 2, pp. 241-246, 1998 https://doi.org/10.1109/9.661074
  4. J. J. E. Slotine and S. S. Sastry, 'Tracking Control of nonlinear systems using sliding surfaces, with application to hobot manipulators,' International Journal of Control, vol. 38, pp. 465-492, 1983 https://doi.org/10.1080/00207178308933088
  5. K. Y. Im and W. Ham, 'Nonlinear Observer for flexible joint robots,' 1993 Korea-Japan Joint Seminar on Advanced Mechatronics, pp. 77-89, 1993
  6. 소일영, 임규만, 함운철, '슬라이딩 모드를 갖는 Bang-Bang 제어,' 제어계측, 자동화, 로보틱스연구회 합동학술발표대회, pp. 98-102, 1996
  7. B. K. Yoo and W. Ham, 'Adaptive fuzzy sliding mode control of nonlinear system,' IEEE Trans. on Fuzzy Systems, vol. 6, no. 2, pp. 315-321, May, 1998 https://doi.org/10.1109/91.669032
  8. A. Isidori, 'Nonlinear control systems: An introduction,' Springer-Velag, 1989