State feedback design for input-saturating quadratic systems

Automatica

Volumn 46, Issue 7, 2010, Pages 1196-1202

  Valmórbida, Giórgio ^a,b   Tarbouriech, Sophie ^a,b   Garcia, Germain ^a,b  

^a LAAS CNRS   (France)

^b UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

Input saturations; Local stability; Quadratic systems

Indexed keywords

INPUT SATURATION; LOCAL STABILITY; OPTIMIZATION PROBLEMS; QUADRATIC LYAPUNOV FUNCTION; QUADRATIC SYSTEMS; SECTOR CONDITION; STABILITY REGIONS; STABILIZING STATE; STATE FEEDBACK GAIN; SYNTHESIS CONDITIONS;

FEEDBACK; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NONLINEAR FEEDBACK; OPTIMIZATION; SYSTEM STABILITY;

STATE FEEDBACK;

EID: 77955715675     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.03.016     Document Type: Article

References (18)

1. Amato, F., Ambrosino, R., Ariola, M., Consentino, C., & Merola, A. (2007). State feedback control of nonlinear quadratic systems. In Proceedings of the 47th conference on decision and control, CDC'07, New Orleans, USA.
2. F. Amato, C. Consentino, and A. Merola On the region of attraction of nonlinear quadratic systems Automatica 43 2007 2119 2123
3. D.S. Bernstein A plant taxonomy for designing control experiments IEEE Control Systems Magazine 2001 7 14
4. F. Blanchini Set invariance in control Automatica 35 1999 1747 1767
5. G. Chesi Computing output feedback controllers to enlarge the domain of attraction in polynomial systems IEEE Transactions on Automatic Control 49 10 2004 1846 1850
6. G. Chesi, A. Garulli, A. Tesi, and A. Vicino LMI-based computation of optimal quadratic Lyapunov functions for odd polynomial systems International Journal of Robust and Nonlinear Control 15 2005 35 49
7. E. de Klerk Aspects of semidefinite programming. Interior point algorithms and selected applications 2002 Kluwer Dordrecht, The Netherlands
8. R. Genesio, M. Tartaglia, and A. Vicino On the estimation of asymptotic stability regions: state of the art and new proposals IEEE Transactions on Automatic Control 30 8 1985 747 755
9. T. Hu, and Z. Lin Control systems with actuator saturation: analysis and design 2001 Birkhuser Boston
10. V. Kapila, K. Grigoriadis, Actuator saturation control 2002 Marcel Dekker, Inc.
11. H.K. Khalil Nonlinear systems third ed. 2002 Prentice Hall London pp. 312322
12. D.E. Koditschek, and K.S. Narendra The stability of second-order quadratic differential equations IEEE Transactions on Automatic Control 27 4 1982 783 798
13. C. Robinson Dynamical systems: stability, symbolic dynamics and chaos 1998 CRC pp. 344346
14. R.R. Sarkar, and S. Banerjee Cancer self remission and tumor stabilitya stochastic approach Mathematical Biosciences 196 1 2005 65 81
15. S. Tarbouriech, G. Garcia, A.H. Glattfelder, Advanced strategies in control systems with input and output constraints LNCIS Vol. 346 2007 Springer Verlag
16. S. Tarbouriech, C. Prieur, and J.M. Gomes da Silva Jr. Stability analysis and stabilization of systems presenting nested saturations IEEE Transactions on Automatic Control 51 8 2006 1364 1371
17. J. Thapar, V. Vittal, W. Kliemann, and A.A. Fouad Application of the normal form of vector fields to predict inter-area separation in power systems IEEE Transactions on Power Systems 12 2 1997 844 850
18. Valmrbida, G., Tarbouriech, S., & Garcia, G. (2009). State feedback design for input-saturating nonlinear quadratic systems. In Proceedings of the 2009 American control conference.