A direct characterization of L2-gain controllers for LPV systems

IEEE Transactions on Automatic Control

Volumn 43, Issue 9, 1998, Pages 1302-1307

  Kose I E ^a   Jabbari, F ^a   Schmitendorf, W E ^a  

^a University of California at Irvine   (United States)

Author keywords

H control; Linear matrix inequalities; Linear parameter varying systems

Indexed keywords

FEEDBACK CONTROL; INTERPOLATION; LYAPUNOV METHODS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY;

LINEAR MATRIX INEQUALITIES (LMI); LINEAR PARAMETER-VARYING (LPV) SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0032166716     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.718622     Document Type: Article

References (21)

1. ∞ controllers," IEEE Trans. Automat. Contr., vol. 40, pp. 853-864, May 1995.
2. ∞ control of linear parameter-varying systems: A design example," Automatica, vol. 31, no. 9, pp. 1251-1261.
3. G. S. Becker, "Quadratic stability and performance of linear parameter dependent systems," Ph.D. dissertation, Department of Mechanical Engineering, Univ. California, Berkeley, Dec. 1993.
4. G. Becker and A. Packard, "Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback," Syst. Contr. Lett., vol. 23, pp. 205-215, 1994.
5. ∞ control," Int. J. Robust and Nonlinear Contr., vol. 4, pp. 421-448, 1994.
6. P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions for real parametric uncertainty," in Proc. Conf. Decision and Control, 1994, pp. 2026-2031.
7. ∞ control," in Proc. Conf. Decision and Control, 1994, pp. 1527-1532.
8. W. M. Lu, K. Zhou, and J. C. Doyle, "Stabilization of uncertain linear systems: An LFT approach," IEEE Trans. Automat. Contr., vol. 41, pp. 50-65, Jan. 1996.
9. T. Iwasaki and R. E. Skelton, "All controllers for the general H∞ control problem: LMI existence conditions and state space formulas," Automatica, vol. 30, no. 8, pp. 1307-1317, 1994.
10. I. Masubuchi, A. Ohara, and N. Suda, "LMI-based output feedback controller design," in Proc. Amer. Control Conf., 1995, pp. 3473-3477.
11. ∞ problem," Proc. Amer. Control Conf., vol. 1, pp. 612-616, 1993.
12. A. Packard, "Gain scheduling via linear fractional transformations," Syst. Contr. Lett., vol. 22, pp. 79-92, 1994.
13. M. A. Rotea, M. Corless, D. Da, and I. R. Petersen, "Systems with structured uncertainty: Relations between quadratic and robust stability," IEEE Trans. Automat. Contr., vol. 38, pp. 799-803, May 1993.
14. ∞ output feedback control problems," Syst. Contr. Lett., vol. 14, pp. 13-24, 1990.
15. W. E. Schmitendorf, "A design methodology for robust stabilizing controllers," AIAA J. Guidance, Control and Dynamics, vol. 10, no. 2, 1987.
16. G. Scorletti and L. El Ghaoui, "Improved linear matrix inequality conditions for gain scheduling," in Proc. Conf. Decision and Contr., 1995, pp. 3626-3631.
17. J. S. Shamma and M. Athans, "Guaranteed properties of gain scheduled control of linear parameter-varying plants," Automatica, vol. 27, no. 3, pp. 559-564.
18. 2-norm control for LPV systems with bounded parameter variation rates," Int. J. Robust and Nonlinear Contr.: Special Issue on Linear Matrix Inequalities, to be published.
19. ∞ control and quadratic stabilization of systems with parameter uncertainty via output feedback," IEEE Trans. Automat. Contr., vol. 37, pp. 1253-1256, 1992.
20. ∞ control with parametric Lyapunov functions," in Proc. Conf. Decision and Contr., 1995, pp. 2547-2552.
21. K. Zhou, P. P. Khargonekar, J. Stoustrup, and H. H. Niemann, "Robust performance of systems with structured uncertainties in state space," Automatica, vol. 31, no. 2, pp. 249-255, 1995.