Finite-time control of discrete-time systems with time-varying exogenous disturbance

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 2, 2009, Pages 361-370

  Zhu, Lin ^a   Shen, Yanjun ^a,b   Li, Cuicui ^a  

^a CHINA THREE GORGES UNIVERSITY   (China)

^b Institute of Nonlinear Complex System

Author keywords

Finite time stability; Linear matrix inequality (LMI); State feedback; Time varying exogenous disturbance; Uncertain discrete time system

Indexed keywords

DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; LINEAR SYSTEMS; STATE FEEDBACK;

CONDITION; DISCRETE - TIME SYSTEMS; EXOGENOUS DISTURBANCES; FINITE TIME STABILITY; FINITE-TIME CONTROL; LINEAR MATRIX IN EQUALITIES; LINEAR MATRIX INEQUALITY; TIME VARYING; TIME-VARYING EXOGENOUS DISTURBANCE; UNCERTAIN DISCRETE-TIME SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 47749097131     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.09.013     Document Type: Article

References (20)

1. Dorato P. Short time stability in linear time-varying system. In: Proceedings of the IRE international convention record part 4; 1961. p. 83-7.
2. Angelo H.D. Linear time-varying systems: analysis and synthesis (1970), Allyn and Bacon, Boston
3. Weiss L., and Infante E.F. Finite time stability under perturbing forces and on product spaces. IEEE Trans Autom Contr 12 (1967) 54-59
4. Boyd S., Ghacui L., Feron E., et al. Linera matrix inequalities in system and control theory (1994), SIAM Press
5. Amato F, Ariola M, Cosentino C, et al. Necessary and sufficient conditions for finite-time stability of linear systems. In: Proceedings of the 2003 American control conference; 2003. p. 4452-6.
6. Amato F., Ariola M., and Dorato P. Finite-time control of linear systems subject to parametric uncertainities and disturbances. Automatica 37 9 (2001) 1459-1463
7. Amato F, Arolia M, Dorato P. State feedback stabilization over a finite-time interval of linear systems subject to norm bounded parametric uncertainties. In: Proceedings of the 36th Allerton conference, Monticello; 1998.
8. Amato F, Ariola M, Abdallah CT, et al. Dynamic output feedback finite-time control of LTI systems subject to parametric uncertainties and disturbances. In: Proceedings of the European control conference, Karlsruhe, CA; 1999. p. 1176-80.
9. Safonov MG, Goh KC, Ly JH. Control system syntheis via bilinear matrix inequalities. In: Proceedings of the American control conference, Baltimore, MA; 1994. p. 45-9.
10. Amato F, Ariola M, Cosentino C. Robust finite-time stabilization via dynamic output feedback: an LMI approach. In: Proceedings of the IFAC Pocond, Milan; 2003.
11. Feng J., Wu Z., and Sun J. Finite-time control of linear singular systems subject to parametric uncertain and disturbances. Proceedings of the 5th world congress on intelligent control and automation (2004), IEEE Press 1002-1006
12. Sun J., and Chen Z. Finite-time control for one kind of uncertain linear singular systems. J Shandong Univ 39 2 (2004) 1-6
13. Sun J., and Zhaolin C. Finite-time control for one kind of uncertain linear singular systems subject to norm bounded uncertainties. Proceedings of the 5th world congress on intelligent control and automation (2004), IEEE Press 980-984
14. Amato F. Finite-time control of discrete-time linear system. IEEE Trans Autom Control 50 5 (2005) 724-729
15. Amato F, Ariola M, Carbone M, et al. Control of linear discrete-time systems over a finite-time interval. In: 43rd IEEE conference on decision and control, Atlantis, Paradise Island, Bahamas; 2004. p. 1284-88.
16. Cui B., and Hua M. Robust passive control for uncertain discrete-time systems with time-varying delays. Chaos Soliton Fract 29 (2006) 331-341
17. ∞ control for uncertain discrete-time singular systems with time-delays. J Computat Appl Math (2007) 1-18
18. Xu S., Lam J., and Yang C. Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay. Syst Control Lett 43 (2001) 77-84
19. Song Q., and Wang Z. A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays. Phys Lett A (2007) 134-145
20. ∞ control and quadratic stabilization of systems with parameter uncertain via output feedback. IEEE Trans Autom Contr 37 8 (1992) 1253-1256