Multiplier IQCs for uncertain time delays

Journal of the Franklin Institute

Volumn 338, Issue 2-3, 2001, Pages 335-351

  Jun, Myungsoo ^a   G Safonov, Michael ^a  

^a University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; FREQUENCY RESPONSE; OPTIMIZATION; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

INTEGRAL QUADRATIC CONSTRAINTS; TIME DELAY UNCERTAINTY;

UNCERTAIN SYSTEMS;

EID: 0035278453     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-0032(00)00079-X     Document Type: Article

References (13)

1. Safonov M.G. Stability and Robustness of Multivariable Feedback Systems. 1980;MIT Press, Cambridge, MA.
2. Doyle J.C. Analysis of feedback systems with structured uncertainties. IEE Proc. 129-D(6):1982;242-250.
3. G. Scorletti, Robustness analysis with time-delay, Proceedings of IEEE Conference on Decision and Control, San Diego, CA, December 1997, pp. 3824-3829.
4. Megretski A., Rantzer A. System analysis via integral quadratic constraints. IEEE Trans. Auto. Control. AC-42(6):1997;819-830.
5. M. Fu, H. Li, S.I. Niculescu, Robust stability and stabilization of time-delay systems via integral quadratic constraint approach, Vol. 228, Lecture Notes in Control and Information Science, Springer, Berlin, 1998 (chapter 4).
6. M. Jun, M.G. Safonov, Stability analysis of a system with time-delayed states, Proceedings of the American Control Conference, Chicago, IL, June 2000, pp. 949-952.
7. S.H. Esfahani, I.R. Petersen, An LMI approach to the output-feedback guaranteed cost control for uncertain time-delay systems, Proceedings of IEEE Conference Decision and Control, Tampa, FL, December 1998, pp. 1358-1363.
8. K.H. Lee, Y.S. Moon, W.H. Kwon, Robust stability analysis of parametric uncertain time-delay systems, Proceedings of IEEE Conference Decision and Control, Tampa, FL, December 1998, pp. 1346-1352.
9. G. Zames, On the input-output stability of time-varying nonlinear feedback systems - Part I: Conditions derived using concepts of loop gain, conicity, and positivity, & Part II: Conditions involving circles in the frequency plane and sector nonlinearities, IEEE Trans. Auto. Control AC-11 (2 & 3) (1996) 228-238 & 465-476.
10. Willems J.C. The Analysis of Feedback Systems. 1971;MIT Press, Cambridge, MA.
11. U. Jönsson, A. Megretski, The Zames-Falb IQC for critically stable systems, Proceedings of the American Control Conference, Philadelphia, PA, June 1998, pp. 3612-3616.
12. Boyd S., El Ghaoui L., Feron E., Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. 1994;SIAM, Philadelphia, PA.
13. m -synthesis without curve fitting, Vol. 56, Control and Dynamic Systems, Academic Press, New York, NY, 1993, pp. 303-324.