Limit cycle analysis of nonlinear sampled-data systems by gain-phase margin approach

Journal of the Franklin Institute

Volumn 342, Issue 2, 2005, Pages 175-192

  Wu, Bing Fei ^a   Perng, Jau Woei ^a   Chin, Hung I ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Describing function; Gain phase margin; Limit cycle; Sampled data

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; DESCRIBING FUNCTIONS; FREQUENCY DOMAIN ANALYSIS; HYDRAULICS; LINEAR CONTROL SYSTEMS; LINEARIZATION; MATHEMATICAL MODELS; NUCLEAR REACTORS; OSCILLATIONS; PROBLEM SOLVING; ROBOTICS; SAMPLING;

GAIN-PHASE MARGIN; LIMIT CYCLES; M-LOCUS METHOD; SAMPLED-DATA SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 10444243430     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2004.10.004     Document Type: Article

References (18)

1. C.S. Cox, and I.G. French Limit cycle prediction conditions for hydraulic control system ASME J. Dyn. Syst. Meas. Control 108 1986 17 23
2. H. Olsson, and K.J. Astrom Friction generated limit cycles IEEE Trans. Control Syst. Technol. 9 2001 629 636
3. J. Ackermann, T. Bunte, Actuator rate limits in robust car steering control, Proceedings of the IEEE Conference on Decision & Control, 1997, pp. 4726-4731.
4. F. Amato, R. Iervolino, M. Pandit, L. Verde, Analysis of pilot-in-the-loop oscillations due to position and rate saturations, Proceedings of the IEEE Conference on Decision & Control, 1999, pp. 3564-3569.
5. K.W. Han, and G.J. Thaler Control system analysis and design using a parameter space method IEEE Trans. Autom. Control 11 3 1996 560 563
6. J. Ackermann Parameter space design of robust control systems IEEE Trans. Autom. Control 25 6 1980 1058 1072
7. A. Cavallo, G.E. Maria, and L. Verde Robust control systems a parameter space design J. Guidance Control Dyn. 15 5 1992 1207 1215
8. D.D. Siljak Parameter space methods for robust control design a guide tour IEEE Trans. Autom. Control 34 7 1989 674 688
9. D.D. Siljak Nonlinear Systems - the Parameter Analysis and Design 1969 Wiley New York
10. C.H. Chang, and K.W. Han Gain margins and phase margins for control systems with adjustable parameters J. Guidance Control Dyn. 13 3 1990 404 408
11. C.H. Chang, and K.W. Han Gain margin and phase margin analysis of a nuclear reactor control system with multiple transport lags IEEE Trans. Nucl. Sci. 36 4 1989 1418 1425
12. C.H. Chang, and K.W. Han Gain margins and phase margins for sampled-data control systems with adjustable parameters IEE Proc. Control Theory Appl. 138 3 1991 285 291
13. C.H. Chang, and M.K. Chang Analysis of gain margins and phase margins of a nonlinear reactor control system IEEE Trans. Nucl. Sci. 41 4 1994 1686 1691
14. M.K. Chang, C.H. Chang, K.W. Han, Gain margins and phase margins for nonlinear control systems with adjustable parameters, Proceedings of the IEEE Conference on Industry and Application, 1993, pp. 2123-2130.
15. Y.C. Chang, and K.W. Han Analysis of limit cycles for a low flying vehicle with three nonlinearities Int. J. Actual Probl. Aviat. Aerosp. Systems USSR 6 2 1998 38 50
16. B.F. Wu, and J.W. Perng Gain-phase margin analysis of pilot-induced oscillations for limit cycle prediction J. Guidance Control Dyn. 27 1 2004 59 65
17. Y.K. Cheng, K.W. Han, and G.J. Thaler Analysis of nonlinear control system with transport lag IEEE Trans. Ind. Gen. Appl. IGA-7 5 1971 576 579
18. K.W. Han Nonlinear Control Systems - Some Practical Methods 1977 Academic Cultural Company California