On stabilization of nonlinear systems under data rate constraints using output measurements

International Journal of Robust and Nonlinear Control

Volumn 16, Issue 6, 2006, Pages 315-332

  De Persis, C ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Communication; Encoder; Nonlinear control system; Output feedback; Quantization

Indexed keywords

ASYMPTOTIC STABILITY; CONSTRAINT THEORY; DECODING; FEEDBACK; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS);

ENCODER; OUTPUT FEEDBACK; QUANTIZATION;

NONLINEAR CONTROL SYSTEMS;

EID: 33645533282     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1060     Document Type: Article

References (23)

1. Baillieul J. Feedback designs in information-based control. In Stochastic Theory and Control, Pasik-Duncan B (ed.). Springer: London, 2002; 35-57.
2. Brockett RW, Liberzon D. Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control 2000; 45:1279-1289.
3. Elia N, Mitter SK. Stabilization of linear systems with limited information. IEEE Transactions on Automatic Control 2001; 46(9):1384-1400.
4. Hespanha J, Ortega A, Vasudevan L. Towards the control of linear systems with minimum bit-rate. In Proceedings of the 15th International Symposium on Mathematical, Theory of Networks and Systems, University of Notre Dame, USA, 2002.
5. Ishii H, Francis BA. Limited Data Rate in Control Systems with Networks. Springer: Berlin, 2002.
6. Nair GN, Evans RJ. Exponential stabilisability of finite-dimensional linear systems with limited data rates. Automatica 2003; 39:585-593.
7. Fagnani F, Zampieri S. Stability analysis and synthesis for scalar linear systems with a quantized feedback. IEEE Transactions on Automatic Control 2003; 48(9): 1569-1584.
8. Petersen IR, Savkin AV. Multi-rate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel. Proceedings of the 40th Conference on Decision and Control, Orlando, FL, 2001; 304-309.
9. Tatikonda S. Control under communication constraints. Ph.D. Thesis, MIT, August 2000.
10. Liberzon D. Hybrid feedback stabilization of systems with quantized signals. Automatica 2003; 39:1543-1554.
11. Nair G, Evans RJ, Mareels IMY, Moran W. Topological feedback entropy and nonlinear stabilization. IEEE Transactions on Automatic Control 2004; 49(9): 1585-1597.
12. Liberzon D, Hespanha JP. Stabilization of nonlinear systems with limited information feedback. IEEE Transactions on Automatic Control 2005; 50(6):910-915
13. (Also in Proceedings of the 42nd IEEE Conference on Decision Control, 2003).
14. De Persis C, Isidori A. Stabilizability by state feedback implies stabilizability by encoded state feedback. Systems and Control Letters 2004; 53:249-258.
15. De Persis C. n-bit stabilization of n-dimensional nonlinear systems in feedforward form. IEEE Transactions on Automatic Control 2005; 50(3):299-311.
16. Tatikonda S, Mitter S. Control under communication constraints. IEEE Transactions on Automatic Control 2004; 49:1056-1068.
17. Gauthier JP, Kupca IAK. Observability and observers for nonlinear systems. SIAM Journal on Control and Optimization 1994; 32:975-994.
18. Gauthier JP, Kupca IAK. Deterministic Observation Theory and Applications. Cambridge University Press: Cambridge, MA, 2001.
19. Isidori A. Nonlinear Control Systems, vol. 1 (3rd edn). Springer: Berlin, 1995.
20. Isidori A. Nonlinear Control Systems, vol. 2. Springer: Berlin, 1999.
21. Khalil HK. Nonlinear Systems (3rd edn). Prentice-Hall: Englewood Cliffs, NJ, 2002.
22. Sontag ED. Further facts about input-to-state stabilization. IEEE Transactions on Automatic Control 1990; 35:473-476.
23. Mazenc F, Praly L, Dayawansa WP. Global stabilization by output feedback: examples and counterexamples. Systems and Control Letters, 1994; 23:119-125.