Open- and closed-loop dissipation inequalities under sampling and controller emulation

European Journal of Control

Volumn 8, Issue 2, 2002, Pages 109-125

  Laila, Dina S ^a   Nešić, Dragan ^a   Teel, Andrew R ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b University of California   (United States)

Author keywords

Discrete time; Dissipation; Emulation design; Nonlinear; Sampled data

Indexed keywords

DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

EMULATION DESIGN; NONLINEAR DIGITAL CONTROLLERS; ZERO-ORDER-HOLD;

CLOSED LOOP CONTROL SYSTEMS;

EID: 0012656446     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.8.109-125     Document Type: Article

References (33)

1. Andersen, BDO. Controller design: Moving from theory to practice, IEEE Control Syst Magazine 1993; 13(4): 16-25
2. Aström KJ, Wittenmark B. Computer-controlled system, theory and design. PHI, 1997
3. Astuti P, Corless M, Williamson D. On the convergence of sampled-data nonlinear systems. In: Differential equations - theory, numerics and applications. 1997, pp 201-210
4. Barbot JP, Djemai M, Monaco S, Normand-Cyrot D. Analysis and control of nonlinear singularly perturbed systems under sampling. In: Leondes CT (ed) Control and dynamic systems: Advance in theory and application, vol 79. Academic Press, San Diego 1996, pp 203-246
5. Chen T, Francis BA. Input-output stability of sampled-data systems. IEEE Trans Autom Control 1991; 36: 50-58
6. Chen T, Francis BA. Optimal sampled-data control systems. Springer, London 1995
7. Dabroom AM, Khalil HK. Discrete-time implementation of high-gain observers for numerical differentiation. Int J Control 1999; 72(17): 1523-1537
8. Farza M, Othman S, Hammouri H, Fick M. Discrete-time nonlinear observer-based estimators for the online estimation of the kinetic rates in bioreactors. Bioprocess Eng 1997; 17: 247-255
9. Franklin GF, Powel JD, Workman M. Digital control of dynamic systems. 3rd Edn. Addison-Wesley, 1997
10. Guillaume A-M, Bastin G, Campion G. Sampled-data adaptive control of a class of continuous nonlinear systems. Int J Control, 1994; 60: 569-594
11. Hill D, Moylan P. The stability of nonlinear dissipative systems. IEEE Trans Autom Control, 1976; 21:708-711
12. Katz P. Digital control using microprocessors. Prentice Hall, 1981
13. Laila DS, Nešić D. On preservation of dissipation inequalities under sampling: the dynamic feedback case. Proc Amer Control Conf, 2001; 4: 2822-2827
14. Lin Y, Sontag ED, Wang Y. A smooth converse Lyapunov theorem for robust stability. SIAM J Control Opt, 1996; 34: 124-160
15. Monaco S, Normand-Cyrot D. On nonlinear digital control. In: Fossard AJ, Normand-Cyrot D, eds. Nonlinear systems, Control, vol 3 Chapman & Hall, 1995
16. Monaco S, Normand-Cyrot D. On the sampling of a linear analytic control system. In: Proceedings of Conference on decision and control, Fort Lauderdale 1985, pp 1457-1462
17. Monaco S, Normand-Cyrot D. On the conditions of passivity and lossléssness in discrete-time. In: Proceedings of European control Conference ECC-97, Brussels 1997
18. Naidu DS, Rao AK. Singular perturbation analysis of discrete control systems. Springer, New York 1985
19. Nešić D, Laila DS, Teel AR. A note on preservation of dissipation inequalities under sampling. In: Proceedings of 39th Conference on decision and control, Sydney 2000, pp 2472-2477
20. Nešić D, Teel AR. Set stabilization of sampled-data nonlinear differential inclusions via their approximate discrete-time models. In: Proceedings of 39th Conference on decision and control, Sydney 2000, pp 2112-2117
21. Nešić D, Teel AR. Input-to-state stability for nonlinear time-varying systems via averaging. Math Control, Signal Syst 2001; 14:257-280
22. Nešić D, Teel AR, Kokotović P. Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations. Syst Control Lett 1999; 38: 259-270
23. Nešić D, Teel AR, Sontag E. Formulas relating Kℒ stability estimates of discrete-time and sampled-data nonlinear systems, Syst Control Lett 1999; 38: 49-60
24. Owens DH, Zheng Y, Billings SA. Fast sampling and stability of nonlinear sampled-data systems: Part 1. Existence theorems. IMA J Math Control Informat 1990; 7: 1-11
25. Peuteman J, Aeyels Y, Soenen J. On the investigation of dissipativity by a discrete observation of the storage function. In: Proceedings of 37th IEEE Conference on decision and control, Tampa, Florida 1998, pp 4150-4155
26. Qu Z. Robust control of nonlinear uncertain systems. John Wiley & Sons, New York 1998
27. Sontag ED. Smooth stabilization implies coprime factorization. IEEE Trans Autom Control 1989; 34: 435-443
28. Sontag ED. The ISS philosophy as unifying framework for stability like-behavior. In: Nonlinear control in the year 2000, vol 2. LNCS, Springer, Berlin 2001, pp 443-468
29. Sontag ED, Wang Y. On characterizations of the inputto-state stability property. Syst Control Lett 1995; 24: 351-359
30. Stuart AM, Humphries AR. Dynamical systems and numerical analysis. Cambridge University Press, Cambridge 1996
31. Teel AR, D, Kokotovic P. A note on input-to- state stability of sampled-data nonlinear systems. In: Proceedings of 37th IEEE Conference on decision and control, Tampa, Florida 1998, pp 2473-2478
32. Willems JC. Dissipative dynamical systems part I, part II. Arch Ration Mech Anal 1972; 45: 325-393
33. Zheng Y, Owens DH, Billings SA. Fast sampling and stability of nonlinear sampled-data systems: Part 2: Sampling rate estimation. IMA J Math Control Informat 1990; 7: 13-33