Finite gain lp stabilization requires analog control

Systems and Control Letters

Volumn 55, Issue 11, 2006, Pages 949-954

  Martins, Nuno C ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Bit rate constraints; Digital control; Finite gain stability; Fundamental limits; Input to state stability; Limited information

Indexed keywords

BIT ERROR RATE; CONTROL SYSTEMS; DIGITAL CONTROL SYSTEMS; INFORMATION THEORY; PROBLEM SOLVING;

FINITE GAIN STABILIZATION; FINITE TIME HORIZON; FUNDAMENTAL LIMITS; STATE STABILITY;

FEEDBACK CONTROL;

EID: 33748429283     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2006.06.002     Document Type: Article

References (16)

1. J. Baillieul, Feedback designs in information-based control, Proceedings of the Workshop on Stochastic Theory and Control, New York, 2001, pp. 35-57.
2. Brocket R.W., and Liberzon D. Quantized feedback stabilization of linear systems. IEEE Trans. Automat. Control 45 7 (2000) 1279-1289
3. Cover T.M., and Thomas J.A. Elements of Information Theory (1991), Wiley-Interscience Publication, New York
4. Delchamps D. Stabilizing a linear system with quantized state feedback. IEEE Trans. Automat. Control 35 8 (1990) 916-924
5. Elia N., and Mitter S.K. Stabilization of linear systems with limited information. IEEE Trans. Automat. Control 46 9 (2000) 1384-1400
6. Fagnani F., and Zampieri S. Stability analysis and synthesis for linear systems with quantized state feedback. IEEE Trans. Automat. Control 48 9 (2003) 1569-1584
7. Jiang Z.P., and Wang Y. Input-to-state stability for discrete-time nonlinear systems. Automatica 37 (2001) 857-869
8. D. Liberzon, On quantization and delay effects in nonlinear control systems, Proceedings of the Workshop on Networked Embedded Sensing and Control, Springer Lecture Notes in Computer Science Series, University of Notre Dame, 2005, pp. 219-229.
9. Liberzon D., and Hespanha J.P. Stabilization of nonlinear systems with limited information feedback. IEEE Trans. Automat. Control 50 6 (2005) 910-915
10. D. Liberzon, D. Nesic, Input-to-state stabilization of linear systems with quantized feedback, Proceedings of the IEEE Conference on Decision and Control, 2005, pp. 8197-8202.
11. Martins N.C., Dahleh M.A., and Elia N. Feedback stabilization of uncertain systems in the presence of a direct link. IEEE Trans. Automat. Control 51 3 (2006) 438-447
12. Nair G.N., and Evans R.J. Stabilizability of stochastic linear systems with finite feedback data rates. SIAM J. Control Optim. 43 2 (2004) 413-436
13. Phat V.N., Jiang J., Savkin A.V., and Petersen I. Robust stabilization of linear uncertain discrete-time systems via a limited capacity communication channel. Systems Control Lett. 53 (2004) 347-360
14. Pinsker M.S. Information and Information Stability of Random Variables and Processes (1964), Holden-Day, San Francisco, CA
15. Sontag E.D. Mathematical Control Theory. second ed. (1998), Springer, Berlin
16. Tatikonda S., and Mitter S.K. Control under communication constraints. IEEE Trans. Automat. Control 49 7 (2004) 1056-1068