Robust stability analysis for structured uncertainties with bounded variation rates

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue , 2005, Pages 179-184

  Köroǧlu, Hakan ^a   Scherer, Carsten W ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Bounded rate parameter variations; Integral quadratic constraints (IQC); Linear matrix inequalities (LMI); Robust stability; Slowly time varying systems; Stability analysis; Structured uncertainty

Indexed keywords

INTEGRAL QUADRATIC CONSTRAINTS (IQC); LINEAR MATRIX INEQUALITIES (LMI); PARAMETER VARIATION; ROBUST STABILITY; STABILITY ANALYSIS; STRUCTURED UNCERTAINTIES; TIME VARYING;

AUTOMATION; INVARIANCE; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); STABILITY; TIME VARYING CONTROL SYSTEMS; UNCERTAINTY ANALYSIS;

CONTROL SYSTEM STABILITY;

EID: 79960702796     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. Y.-S. Chou and A. L. Tits. On robust stability under slowly-varying memoryless uncertainty. In Proc. 34th IEEE Conf. Dec. & Cont., pp. 4321- 4326, New Orleans, Los Angeles, Dec. 1995.
2. A. Helmersson. An IQC-based stability criterion for systems with slowly varying parameters. In Proc. 14th IFAC World Cong., pp. 525-530, Beijing, China, July 1999.
3. U. Jönsson. Lecture notes on integral quadratic constraints. Div. of Optimization and Systems Theory, Dept. of Mathematics, Royal Inst. of Tech., Stockholm, Sweden, May 2001.
4. U. Jönsson and A. Rantzer. Systems with uncertain parameters - time-variations with bounded derivatives. In Proc. 33rd IEEE Conf. Dec. & Cont., pp. 3074-3079, Lake Buena Vista, FL, Dec. 1994.
5. U. Jönsson and A. Rantzer. Systems with uncertain parameters - time-variations with bounded derivatives. Int. Journ. Rob. & Nonl. Cont., 6 (9-10):969-982, Nov. 1996.
6. A. Megretski and A. Rantzer. System analysis via integral quadratic constraints. IEEE Trans. Aut. Cont., 42(6):819-830, June 1997.
7. G. Meinsma, T. Iwasaki, and M. Fu. When is (D, G)-scaling both necessary and sufficient. IEEE Trans. Aut. Cont., 45(9):1755- 1759, Sept. 2000.
8. A. Packard and J. C. Doyle. The complex structured singular value. Automatica, 29(1):71-109, Jan. 1993.
9. F. Paganini and J. C. Doyle. Analysis of implicitly defined systems. In Proc. 33rd IEEE Conf. Dec. & Cont., pp. 3673-3678, Lake Buena Vista, FL, Dec. 1994.
10. K. Poolla and A. Tikku. Robust performance against time-varying structured perturbations. IEEE Trans. Aut. Cont., 40(9):1589- 1602, Sept. 1995.
11. A. Rantzer. On the Kalman-Yakubovich-Popov lemma. Syst. & Cont. Lett., 28(1):7-10, June 1996.
12. J. S. Shamma. Robust stability with time-varying structured uncertainty. IEEE Trans. Aut. Cont., 39(4):714-724, April 1994.
13. A. Tchernychev and A. Sideris. Robust discrete-time control design with time-varying parametric uncertainties. Int. Journ. Rob. & Nonl. Cont., 9(4):199-213, April 1999.
14. ∞ design with time-varying uncertainties. Automatica, 36(4):579-586, April 2000.
15. J. C. Willems. The Analysis of Feedback Systems. The MIT Press, MA, 1971.