Resilient static output feedback stabilization of linear periodic systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 5, Issue PART 1, 2006, Pages 154-159

  Farges, C ^a   Peaucelle, D ^a   Arzelier, D ^a  

^a LAAS CNRS   (France)

Author keywords

Linear periodic discrete time systems; LMI; Output feedback; Quadratic stability; Resilience

Indexed keywords

CONVEX OPTIMIZATION; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; ROBUST CONTROL; SET THEORY; STABILIZATION;

LINEAR PERIODIC SYSTEMS; OUTPUT FEEDBACK; PERIODIC DISCRETE TIME SYSTEMS; PERIODIC OUTPUT FEEDBACK; QUADRATIC STABILITY; RESILIENCE; STABILIZING CONTROLLERS; STATIC OUTPUT-FEEDBACK STABILIZATION;

LINEAR MATRIX INEQUALITIES;

EID: 80051579739     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060705-3-fr-2907.00028     Document Type: Conference Paper

References (17)

1. Bittanti, S. and P. Colaneri (2000). Invariant representations of discrete-time periodic systems. Automatica 36, 1777-1793.
2. Bolzern, P. and Colaneri, P., Eds. (1988). The periodic Lyapunov equation. Journal on Matrix Analysis and Applications. SIAM.
3. Colaneri, P., C. De Souza and Kucera (1998). Output stabilizability of periodic systems: necessary and sufficient conditions. In: American Control Conference. Philadelphia, Pensylvania.
4. Corrado, J.R. and W.M. Haddad (1999). Static output feedback controllers for systems with parametric uncertainty and controller gain variations. In: American Control Conference. San Diego. pp. 915-919.
5. De Souza, C.E. and A. Trofino (2000). An LMI approach to stabilization of linear discrete-time periodic systems. Int. J. Control 73, 696-709.
6. Farges, C., D. Peaucelle and D. Arzelier (2005). Méthodes LMI de stabilisation des systèmes linéaires périodiques yujmmhgu. In: JDMACS. Lyon,France. URL: http://\verbwww.laas.fr+/~cfarges/index-publis. html.
7. Gaiani, G., M. Lovera, P. Colaneri and R. Celi (2004). Discrete-time analysis of HHC schemes for helicopter vibration attenuation. In: IFAC Workshop on Periodic Control Systems. Yokohama, Japan. pp. 69-74.
8. Keel, L.H. and S.P. Bhattacharyya (1997). Robust, fragile, or optimal?. IEEE Trans. on Automat. Control 42(8), 1098-1105. (Pubitemid 127760280)
9. Kocvara, M. and M. Stingl (2004). PENBMI, Version 2.0. URL: http://www.penopt.com/penbmi.html.
10. Lfberg, J. (2001). Yalmip: Yet another LMI parser. URL: http://control.ee.ethz.ch/~joloef/yalmip.php.
11. Peaucelle, D. and D. Arzelier (2003). Ellipsoidal sets for resilient and robust static outputfeedback. IEEE Trans. on Automat. Control. Submitted, URL: http://www.laas.fr/%7Epeaucell/DPpages/DPpublibytype.html.
12. Peaucelle, D., D. Arzelier and R. Bertrand (2002). Ellipsoidal sets for static output feedback. In: IFAC Workshop on Periodic Control Systems. Barcelona, Spain.
13. Pittelkau, M. E. (1993). Optimal periodic control for spacecraft pointing and attitude determination. J. of Guidance, Control, and Dynamics 16, 1078-1084.
14. Schubert, A. (2001). Linear optimal periodic position control for elliptical orbits. In: AAS/AIAA Space Flight Mechanics Meeting. Santa Barbara, California. Paper AAS 01- 237, 2001.
15. Skelton, R.E., T. Iwazaki and K. Grigoriadis (1998). A Unified Algebric Approach to Linear Control Design. Taylor and Francis series in Systems and Control.
16. Varga, A. and S. Pieters (1998). Gradient-based approach to solve optimal periodic output feedback control problems. Automatica 34(4), 477-481. (Pubitemid 128400228)
17. ∞ control for linear systems with multiplicative controller gain variations. Automatica 37, 727-737. (Pubitemid 32264800)