On the robustness of multivariable algebraic loops with sector nonlinearities

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2002, Pages 1054-1059

  Syaichu Rohman, Arief ^a   Middleton, Richard H ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; MULTIVARIABLE CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

ANTI-WINDUP CONTROLLER SYNTHESIS; DYNAMIC COMPENSATORS; MULTIVARIABLE ALGEBRAIC LOOPS; SECTOR NONLINEARITIES; TIME DELAYS;

CONTROL NONLINEARITIES;

EID: 0036996247     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. 2-Instability of Linear Time-Invariant Distributed Feedback Systems Perturbed by a Small Delay in the Loop, IEEE Trans. Automatic Control., vol.AC-18, no.5, 479-484.
2. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory. Philadelphia: SIAM.
3. Desoer, C.A., and Vidyasagar, M. (1975). Feedback Systems: Input-Output Properties. New York: Academic Press.
4. Georgiou, T.T. and Smith, M.C. (1989). w-Stability of feedback systems, Systems and Control Letters, 13, 271-277.
5. Grimm, G. Hatfield, J., Postlethwaite, I, Teel, A. R., Turner, M.C., & Zaccarian, L., (2001). Anti-windup: an LMI-based synthesis, internal research report, University of California, Santa Barbara.
6. Jönsson, U., (1996). Robustness Analysis of Uncertain and Nonlinear Systems. PhD thesis, Dept. of Automatic Control, Lund Inst. of Tech., Sweden.
7. Kothare, M.V., Campo, P.J., Morari, M., & Nett, C.N. (1994). A unified framework for the study of anti-windup designs. Automatica, 30(12), 1869-1883.
8. Kothare, M.V., and Morari, M. (1997). Multivariable Anti-Windup Controller Synthesis using Multi-Objective Optimization, Proc. of American Control Conf., Albuquerque-New Mexico, 3093-3097.
9. Mulder, E.F., Kothare, M.V., and Morari, M. (2001). Multivariable antiwindup controller synthesis using linear matrix inequalities. Automatica 37(.), 1407-1416.
10. Romanchuk, B.G. and Smith, M.C. (1996) Incremental Gain Analysis of Linear Systems with Bounded Controls and its Application to the Antiwindup Problem, Proceedings of the 35th Conf. On Decision & Control, Kobe-Japan, 2942-2947.
11. Sastry, S. (1999). Nonlinear Systems: Analysis, Stability, and Control. New York: Springer-Verlag.
12. Vitacco, W.R, and Michel, A.N. (1977). Qualitative Analysis of Interconnected Dynamical Systems with Algebraic Loops: Well-Posedness and Stability, IEEE Trans. on Circuit & Systems, vol. CAS-24, no.11, 625-637.
13. Willems, J.C. (1971). The Analysis of Feedback Systems, Massachusetts: MIT Press.
14. Zames, G. (1964) Realizability Conditions for Nonlinear Feedback Systems, IEEE Trans. on Circuit & Systems, vol. CAS-11, no. 2, 186-193.
15. Zhou, K., Doyle, J.C. and Glover, K. (1996). Robust and Optimal Control, New Jersey: Prentice Hall Inc.