Robust state feedback control of LTV systems: Nonlinear is better than linear

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 2347-2352

  Blanchini, F ^a   Megretski, A ^b  

^a UNIVERSITY OF UDINE   (Italy)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Lyapunov functions; Nonlinear control; Parametric uncertainties; Robust stabilization; State feedback

Indexed keywords

LYAPUNOV FUNCTIONS; ROBUST CONTROL; STATE FEEDBACK;

LINEAR TIME INVARIANT; MEMORY-LESS STATE FEEDBACK; NON LINEAR CONTROL; PARAMETRIC UNCERTAINTIES; QUADRATIC STABILITY; ROBUST STABILIZATION; ROBUST STATE FEEDBACK; STABILITY MARGINS;

LINEAR CONTROL SYSTEMS;

EID: 84983189653     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082456     Document Type: Conference Paper

References (14)

1. B. R, Barmish, "Stabilization of Uncertain Systems via Linear Control" IEEE Trans. on Autom. Contr. vol. AC-28, no. 8, 1983.
2. B. R. Barmish, "Necessary and Sufficient Conditions for Quadratic Stabilizability of an Uncertain System", J. of Opt. Th. and Appl., Vol. 46, No. 4, 1985.
3. B. R. Barmish, I. Petersen, A. Feuer, "Linear Ultimate Boundedness Control of Uncertain Systems", Automatica, Vol. 19, No. 5, p. 523-532, 1983.
4. F. Blanchini, "Nonquadratic Lyapunov function for robust control", Automatica, Vol. 31, no 3, p. 451-461, 1995.
5. F. Blanchini, S. Miani, "A new class of universal Lyapunov functions for the control of uncertain systems", To apper in Proc. of the 35th, Conf on Dec. and Contr. Kobe, Dec. 1996.
6. ∞ gain minimization: dynamic versus static state feedback", Proceedings of 35th, Conference on Decisione and Control, Kobe, Dec. 1996.
7. M. Corless, "Robust analysis and design via quadratic Lyapunov functions", Proc. of the IFAC World Conference, Sidney, 18-23, July, 1993.
8. Y. Lin, E. D. Sontag, Y. Wang, "A smooth converse Lyapunov theorem for robust stability", SIAM J. on Contr. and Opt., Vol. 34, no. 1, pp. 124-160, January 1996.
9. I. R. Petersen "Quadratic stabilizability of uncertain systems: existence of a nonlinear stabilizing control does not imply the existence of a linear stabilizing control", IEEE Trans. on Autom. Contr. vol. AC-30, no. 3, March 1995.
10. ∞ control theory", IEEE Transactions on Autom. Contr. F Vol. 35, no, 3, pp. 365, March 1990.
11. M. Rotea, P. P. Kargonekar, "Stabilization of uncertain systems with norm-bounded uncertainty: a Lyapunov function approach", SIAM J. on Contr. and Opt., Vol. 27, p. 1462-1476, 1989.
12. A. V. Savkin, and I. R. Petersen "Nonlinear Versus Linear Control in the Absolute Stabilizability of Uncertain Systems with Structured Uncertainty", IEEE Transactions on Automatic Control, January 1995, pp. 122-127.
13. H. Stalford "Robust asymptotic Stability of Petersen Counterexample via Linear Static Controller", IEEE Trans. on Autom. Contr. Vol. 40, no. 8, Aug. 1995.
14. A. Stoorvogel, "Nonlinear C1 optimal controllers for linear systems", IEEE Trans. Automat. Contr., vol. AC-40, no. 4, pp. 694-696, 1995.