H∞ control with parametric Lyapunov functions

Systems and Control Letters

Volumn 30, Issue 2-3, 1997, Pages 57-69

  Yu, Jie ^a   Sideris, Athanasios ^a  

^a University of California at Irvine   (United States)

Author keywords

Convex covering; H control; Linear matrix inequality; Linear parametrically varying system; Parametric Lyapunov function

Indexed keywords

EID: 0000451507     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(96)00075-8     Document Type: Article

References (13)

1. ∞ control of linear parameter-varying systems, Proc. ACC (1994) 856-860.
2. G. Becker and A. Packard, Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback, Systems Control Lett. 23 (1994) 205-215.
3. S. Boyd, V. Balakrishnan, E. Feron and L. El Ghaoui, Linear matrix inequalities in system and control theory, SIAM Stud. Appl. Math. 15 (1994).
4. S. Dasgupta, G. Chockalingam, B.D.O. Anderson and M. Fu. Lyapunov functions for uncertain systems with applications to the stability of time varying systems, IEEE Trans. Circuits and Systems - I 41 (1994) 93-106.
5. ∞ control problems, IEEE Trans. Automat. Control 34 (1989) 831-846.
6. ∞ suboptimal controllers, Proc. CDC (1992) 937-942.
7. P. Gahinet, P. Apkarian and M. Chilali, Affine parameter-dependent Lyapunov functions for real parametric uncertainty, Proc. CDC (1994) 2026-2031.
8. ∞ control problem: LMI existence condition and state space formulas, Automatica 30 (1994) 1307-1317.
9. ∞ output feedback control problems, Systems Control Lett. 14 (1990) 12-24.
10. A. Sideris, A lower bound on the multivariable stability margin via linear programming, Proc. CDC (1989) 1936-1937.
11. J.S. Shamma and M. Athans, Gain scheduling: potential hazards and possible remedies, IEEE Control Systems Mag. 12 (1992) 101-107.
12. 2-norm control for LPV system with bounded parameter variation rates, preprint.
13. ∞ control with parametric Lyapunov functions. Proc. CDC95, Vol. 3 (1995) 2547-2552.