Robust stability under mixed time-varying, time-invariant and parametric uncertainty

Automatica

Volumn 32, Issue 10, 1996, Pages 1381-1392

  Paganini, Fernando ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Control system analysis; Frequency domain; Robust stability; structured singular value; Time invariant systems; Time varying systems; Uncertainty

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; INVARIANCE; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

LINEAR TIME INVARIANT PERTURBATIONS; PARAMETRIC UNCERTAINTY; STRUCTURED SINGULAR VALUE; STRUCTURED UNCERTAINTY;

CONTROL SYSTEM ANALYSIS;

EID: 0030263407     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(96)00089-1     Document Type: Article

References (21)

1. Balas, G., J. Doyle, K. Glover, A. Packard and R. Smith (1991). The μ Analysis and Synthesis Toolbox. MathWorks and MUSYN.
2. Bercovici, H., C. Foias and A. Tannenbaum (1990). Structured interpolation theory. Oper. Theory Adv. App., 47, 195-220.
3. Boyd, S. P., L. El Ghaoui, E. Feron and V. Balakrishnan (1994). Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, PA.
4. Braatz, R., P. Young, J. Doyle and M. Morari (1994). Computational complexity of μ calculation. IEEE Trans. Automat. Control, AC-39, 1000-1002.
5. Doyle, J. (1982), Analysis of feedback systems with structured uncertainty. IEE Proc., 129, 242-250.
6. Dullerud, G. (1994). Control of uncertain sampled-data systems. PhD thesis, Cambridge University.
7. Fan M., A. Tits and J. Doyle (1991). Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics. IEEE Trans. Automat. Control, AC-36, 25-38.
8. Khammash, M. and J. B. Pearson (1991). Performance robustness of discrete-time systems with structured uncertainty. IEEE Trans Automat. Control, AC-36, 398-412.
9. Megretski, A. and S. Treil (1993). Power distribution inequalities in optimization and robustness of uncertain systems. J. Math. Sys., Est. & Control, 3(3), 301-319.
10. Newlin, M. and P. Young (1992). Mixed μ problems and branch and bound techniques. In Proc. 1992 CDC, Tucson, AZ, pp. 3175-3180.
11. Packard, A. and J. Doyle (1993). The complex structured singular value. Automatica, 29(1), 71-109.
12. Paganini, F. and J. Doyle (1994). Analysis of implicitly defined systems. In Proc. 1994 CDC, Orlando, FL, pp. 3673-3678.
13. Paganini, F. (1995a). Analysis of systems with combined time invariant/time varying structured uncertainty. In Proc. 1995 ACC, Seattle, WA, pp. 3878-3882.
14. Paganini, F. (1995b). Sets and constraints in the analysis of uncertain systems. PhD thesis, California Institute of Technology.
15. Poolla, K. and A. Tikku (1995). Robust performance against time-varying structured perturbations. IEEE Trans. Automat. Control, AC-40(9), 1589-1602.
16. Rantzer, A. (1993). Uncertainties with bounded rates of variation. In Proc. 1993 ACC, San Francisco, CA, pp. 29-30.
17. Rockafellar, R. T. (1970). Convex Analysis. Princeton University Press, Princeton, NJ.
18. Safonov, M. and M. Athans (1981). A multiloop generalization of the circle criterion for stability margin analysis. IEEE Trans Automat. Control, AC-26(2), 415-422.
19. Shamma, J. (1994). Robust stability with time varying structured uncertainty. IEEE Trans. Automat. Control, AC-39(4), 714-724.
20. Young, P. (1993). Robustness with parametric and dynamic uncertainty. PhD thesis, California Institute of Technology.
21. Zhou, K., J. Doyle and K. Glover (1995). Robust and Optimal Control. Prentice Hall, Englewood Cliffs, NJ.