Control of a planar system with quantized and saturated input/output

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 55, Issue 3, 2008, Pages 932-942

  Cepeda, Alfonso ^a   Astolfi, Alessandro ^b,c  

^a UNIVERSIDAD DE SEVILLA   (Spain)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Observability; Planar systems; Saturation; Stability

Indexed keywords

COMPUTER SIMULATION; CONTROL THEORY; FEEDBACK CONTROL; MATHEMATICAL MODELS;

N-DIMENSIONAL SYSTEMS; PLANAR SYSTEM; QUANTIZATION; SATURATION;

CONTROL SYSTEM STABILITY;

EID: 44349192692     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2008.916448     Document Type: Article

References (22)

1. A. Bicchi, A. Marigo, and B. Piccoli, "On the reachability of quantized control systems," IEEE Trans. Automat. Control, vol. 47, no. 4, pp. 546-563, Apr. 2002.
2. R. W. Brockett and D. Liberzon, "Quantized feedback stabilization of linear systems," IEEE Trans. Automat. Control, vol. 45, no. 10, pp. 1279-1289, Oct. 2000.
3. F. Bullo and D. Liherzon, "On quantized control and geometric. optimization," in Proc. 42th Conf. Decision Control, Dec. 2003, pp. 2567-2572
4. M. J. Corless and G. Leitmann, "Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems," IEEE Trans. Automat. Control, vol. AC-26, no. 10, pp. 1139-1144, Oct. 1981.
5. D. F. Delchamps, "Stabilizing a linear system with quantized state feedback," Trans. Automat. Control, vol. 35, no. 8, pp. 916-924, Aug. 1990.
6. N. Elia and S. K. Miller, "Stabilization of linear systems with limited information," IEEE Trans. Automat. Control, vol. 46, no. 9, pp. 1384-1400, Sep. 2001.
7. G. Kaliora and A. Astolfi, "Nonlinear control of feedforward systems with bounded signals," IEEE Trans. Automat. Control, vol. 49, no. 12, pp. 1975-1990, Dec. 2004.
8. O. M. Grasselli and A. Isidori, "Deterministic state reconstruction and rechability of bilinear control processes," in Proc. Amer. Control Conf.. San Francisco, CA, Jun. 1977, pp. 1423-1427.
9. B. Hu, Z. Feng, and A. N. Michel, "Quantized sampled-data feedback stabilization for linear and nonlinear control systems," in Proc. 38th IEEE Conf. Decision Control, Dec. 1999, vol. 5, pp. 4392-4397.
10. G. Kaliora and A. Astolfi, "Stabilization with positive and quantized control," in Proc. IEEE Conf. Decision Control, 2002, vol. 1, pp. 1892-1897.
11. D. Liberzon, "Hybrid feedback stabilization of systems with quantized signals,", Automatica, vol. 39, pp. 1543-1554, 2003.
12. D. Liberzon, "On stabilization of linear systems with limited information," IEEE Trans. Automat. Control, vol. 48, no. 2, pp. 304-307, Feb. 2003.
13. D. Liberzon, J. P. Hespanha, and A. S. Morse, "Hierarchical hysteresis switching," in Proc. 39th IEEE Conf. Decision Control, Dec. 2000, pp. 484-489.
14. Z. Lin and T. Hu, ",Semi-global stabilization of linear systems subject to output saturation," Syst. Control Lett., vol. 43, no. 3, pp. 211-217, 2001
15. J. Raish, E. Klein, S. Young, C. Meder, and A. Itigin, "Aproximating automata and discrete control for continuous systems - Two examples from process control," Hybrid Syst. V, pp. 279-333, 1999.
16. P. J. G. Ramadge and W. M. Wonham, "The control of discrete event systems," Proc. IEEE, vol. 77, no. 1, pp. 881-988, Jan. 1989.
17. H. Richter and E. A. Misawa, "Stability of discrete-time systems with quantized input and state measurements," IEEE Trans. Automat. Control, vol. 48, no. 8, pp. 1453-1458, Aug. 2003.
18. E. D. Sontag, "On the observability of polynomial systems, i: Finite time problems," SIAM J. Contr. Qptim., vol. 17, pp. 139-151, 1979.
19. J. Sur and B. Paden, "State observer for linear time-invariant systems with quantized output," ASME J. Dynam. Syst. Meas. Control, vol. 120, pp. 423-426, 1998.
20. H. J. Sussmann, "Single-input observability of continuous-time systems,", Math. Syst. Theory, vol. 12, pp. 371-393, 1979.
21. Y. Wang and E. D. Sontag, "Orders ot input/output diferential equations and state space dimensions," SIAM J. Contr. Optim., vol. 33, pp. 1102-1127, 1995.
22. C. W. Wu and L. O. Chua, "Quantized sampling as sampling with uncertainty in time and amplitude," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 45, no. 4, pp. 458-463, Apr. 1998.