What kinds of system can be used as tracking-differentiator

Proceedings of the 29th Chinese Control Conference, CCC'10

Volumn , Issue , 2010, Pages 6113-6120

  Xue, Wenchao ^a   Huang, Yi ^a   Yang, Xiaoxia ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Filippov solution; Semi globally finite time stable; Tracking differentiator; Uniformly semi globally practically asymptotically stable

Indexed keywords

ASYMPTOTICALLY STABLE; AUTONOMOUS SYSTEMS; DIFFERENTIATORS; FILIPPOV SOLUTIONS; FINITE-TIME STABLE; INPUT SIGNAL; TIME-SCALES; TRACKING DIFFERENTIATORS;

ASYMPTOTIC ANALYSIS;

EID: 78650233539     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. A. M. Dabroom and H. K. Khalil. "Discrete-time implementation of high-gain observers for numerical differentiation". International Journal of Control, 1997, 72(17): 1523-1537.
2. S. Ibrir. "New di.erentiators for control and observation applications". in Proc. of the American control conference, 2001: 2522-2527.
3. S. Ibrir. "Linear time-derivative trackers". Automatica, 40, 2004 3: 397-405.
4. A. Levant. "Robust exact differentiation via sliding mode technique". Automatica, 1998, 34(3): 379-384.
5. A. Levant. "Higher order sliding modes, differentiation and outputfeedback control". Int. J. Control, 2003, 76(9/10): 924-941.
6. X. Wang, Z. Chen and G. Yang. "Finite-time-convergent differentiator based on singular perturbation technique". IEEE Transactions on Automatic Control, 2007, 52(9).
7. J. Han and W. Wang. "Nonlinear tracking-differentiator". Systems Sciences and Mathematical Sciences, 1994, 14(2): 177-183. (In Chinese)
8. B. Guo and J. Han. "A linear tracking-differentiator and application to the onlineestimation of the frequency of a sinusoidal signal". in Proc. of the 2000 IEEE Conference on Decision and Control, 2000:9-13.
9. F. Zhu and X. Chen. "Analysis and improvement of the nonlinear tracking differentiator". Control Theory and Applications, 1999, 16(6): 898-902.
10. X. Wang, Z. Chen and Y. Zhuzhi. "Analyse and improvement for nonlinear tracking-differentiator". Control and Decision, 2002, 17(suppl): 752-754.
11. L. Wu, H. Lin and J. Han. "Study of tracking differentiator on filtering". Journal of System Simulation, 2004, 16(4): 651-652.
12. J. Han, Active Disturbance Rjection Control Technique. Beijing: National Defense Industry, 2008. (In Chinese)
13. Kalman, R. E. "A New Approach to Linear Filtering and Prediction Problems". Transaction of the ASMEł Journal of Basic Engineering, 1960: 35-45.
14. A. Filippov, Differential Equations with Discontinuous Right Hand Sides. Boston: Kluwer Academic Publiiers, 1988.
15. S. Bhat and D. Bernstein. "Finite-time stability of continuous autonomous systems". Automatica, 2000, 38(3): 751-766.
16. A. R. Teel, J. Peuteman, and D. Aeyels. "Semi-global practical asymptotic stability and averaging". Systems and Control Letters, 1999 37(5): 329C334.
17. Y. Huang and J. Han. "Analysis and design for nonlinear continuous extended state observer". Chinese Bulletin, 2000, 45(21): 1938-1944.