Nonlinear stabilizability via encoded feedback: The case of integral ISS systems

Automatica

Volumn 42, Issue 10, 2006, Pages 1813-1816

  De Persis, Claudio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Integral input to state stability; Limited data rates; Networked control systems; Nonlinear control systems; Quantization

Indexed keywords

DATA ACQUISITION; ERROR ANALYSIS; FEEDBACK CONTROL; INTEGRAL EQUATIONS;

INTEGRAL INPUT-TO-STATE STABILITY; LIMITED DATA RATES; NETWORKED CONTROL SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 33747755082     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.05.019     Document Type: Article

References (20)

1. Arçak M., Angeli D., and Sontag E.D. A unifying integral iss framework for stability of nonlinear cascades. SIAM Journal on Control and Optimization 40 6 (2002) 1888-1904
2. Baillieul, J., (2002). Feedback designs in information-based control. In B. Pasik-Duncan (Ed.), Stochastic theory and control (pp. 35-57).
3. Brockett R.W., and Liberzon D. Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control 45 (2000) 1279-1289
4. Elia N., and Mitter S.K. Stabilization of linear systems with limited information. IEEE Transactions on Automatic Control 46 9 (2001) 1384-1400
5. Hespanha, J., Ortega, A., & Vasudevan, L., (2001). Towards the control of linear systems with minimum bit-rate. In Proceedings of the MTNS.
6. Ishii H., and Francis B.A. Limited data rate in control systems with networks (2002), Springer, Berlin
7. Jankovic M., Sepulchre R., and Kokotovic P. Constructive Lyapunov stabilization of nonlinear cascade systems. IEEE Transactions on Automatic Control 41 (1996) 1723-1735
8. Li, K., & Baillieul, J., (2004). Data rate requirements for nonlinear feedback control. In Preprints of the sixth IFAC symposium on nonlinear control systems, Stuttgart, Germany (pp. 1277-1282).
9. Liberzon D. Hybrid feedback stabilization of systems with quantized signals. Automatica 39 (2003) 1543-1554
10. Liberzon D. On stabilization of linear systems with limited information. IEEE Transactions on Automatic Control 48 2 (2003) 304-307
11. Liberzon D., and Hespanha J. Stabilization of nonlinear system with limited information feedback. IEEE Transactions on Automatic Control 50 6 (2005) 910-915
12. Mazenc F., and Praly L. Adding integrations, saturated controls and stabilization for feedforward systems. IEEE Transactions on Automatic Control 41 (1996) 1559-1577
13. Nair, G. N., Evans, R. J., Mareels, I. M. Y., & Moran, W. (2003). Feedback data rates for nonlinear systems. In Proceedings of the European control conference.
14. De Persis C. n-bit stabilization of n-dimensional nonlinear systems in feedforward form. IEEE Transactions on Automatic Control 50 (2005) 299-311
15. De Persis C., and Isidori A. Stabilizability by state feedback implies stabilizability by encoded state feedback. Systems & Control Letters 53 (2004) 249-258
16. De Persis C., De Santis R., and Morse A.S. Switched nonlinear systems with state-dependent dwell-time. Systems & Control Letters 41 4 (2003) 291-302
17. Sontag E.D. Comments on integral variants of ISS. Systems & Control Letters 34 (1998) 93-100
18. Tatikonda S., and Mitter S. Control under communication constraints. IEEE Transactions on Automatic Control 49 7 (2004) 1056-1068
19. Teel A.R. A nonlinear small gain theorem for the analysis of control systems with saturations. IEEE Transactions on Automatic Control 41 (1996) 1256-1270
20. 2 performance induced by feedbacks with multiple saturation. ESIAM: Control, Optimization and Calculus of Variations 1 (1996) 225-240