Robust backstepping for the Euler approximate model of sampled-data strict-feedback systems

Automatica

Volumn 45, Issue 9, 2009, Pages 2164-2168

  Postoyan, Romain ^a   Ahmed Ali, Tarek ^b   Lamnabhi Lagarrigue, Françoise ^c  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITÉ DE CAEN   (France)

^c CNRS   (France)

Author keywords

Backstepping; Robust stabilization; Sampled data systems

Indexed keywords

APPROXIMATE MODEL; CLOSED-LOOP SYSTEM; DISCRETIZED MODELS; EULER APPROXIMATION; INPUT-TO-STATE STABILITY; ROBUST STABILIZATION; SAMPLED-DATA; SAMPLED-DATA SYSTEMS; STABILITY STUDY; STATE-FEEDBACK CONTROLLERS; STRICT FEEDBACK SYSTEMS;

ASYMPTOTIC STABILITY; FEEDBACK CONTROL; SAMPLED DATA CONTROL SYSTEMS; STABILIZATION; STATE FEEDBACK; SYSTEM STABILITY;

BACKSTEPPING;

EID: 68149163714     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.05.001     Document Type: Article

References (16)

1. Barbot J.P., Djemai M., Monaco S., and Normand-Cyrot D. Analysis and control of nonlinear singularly perturbed systems under sampling. In: Leondes (Ed). Control and dynamic systems, advances in theory and applications (1996), Academic Press Inc 203-246
2. Burlion, L. (2007). Contribution à l'analyse et à la commande de systèmes non linéaires à commande échantillonnée. Ph.D. thesis. Université Paris-Sud [in French]
3. Freeman R.A., and Kokotović P.V. Design of softer robust nonlinear control laws. Automatica 29 (1993) 1425-1437
4. Grüne L., Worthmann K., and Nešić D. Continuous-time controller redesign for digital implementation: A trajectory based approach. Automatica 44 1 (2007) 225-232
5. Kellett C.M., Shim H., and Teel A.R. Further results on robustness of (possibly discontinuous) sample and hold feedback. IEEE Transactions on Automatic Control 49 (2004) 1081-1089
6. Krstić M., Kanellakopoulos I., and Kokotović P.V. Nonlinear and adaptive control design (1995), John Wiley and Sons, Inc, New York, USA
7. Laila D.S., and Astolfi A. Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form. Automatica 41 (2005) 1891-1903
8. Laila D.S., and Nešić D. A note on input-to-state stabilization for nonlinear sampled-data systems. IEEE Transactions on Automatic Control 47 (2002) 1153-1158
9. Laila D.S., and Nešić D. Open and closed loop dissipation inequalities under sampling and controller emulation. European Journal of Control 18 (2002) 109-125
10. Laila D.S., and Nešić D. Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications. Automatica 39 (2003) 821-835
11. Monaco S., and Normand-Cyrot D. Issues on nonlinear digital systems. European Journal of Control 7 (2001) 160-178
12. Nešić D., and Grüne L. Lyapunov based continuous-time nonlinear controller redesign for sampled-data implementation. Automatica 41 (2005) 1143-1156
13. Nešić D., and Teel A.R. A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time. IEEE Transactions on Automatic Control 49 (2004) 1103-1122
14. Nešić D., and Teel A.R. Stabilization of sampled-data nonlinear systems via backstepping on their Euler approximate model. Automatica 42 (2006) 1801-1808
15. Nešić D., Teel A.R., and Sontag E.D. Formulas relating K L stability estimates of discrete-time and sampled-data nonlinear systems. Systems & Control Letters 38 1 (1999) 49-60
16. Postoyan R., Ahmed-Ali T., Burlion L., and Lamnabhi-Lagarrigue F. On the Lyapunov-based adaptive control redesign for a class of nonlinear sampled-data systems. Automatica 44 8 (2008) 2099-2107