limited-information feedback; nonlinear systems; quantisation; robustness; Closed loops; Communication networks; Control of nonlinear system; Exogenous disturbances; Information feedback; Input to state stable; Input-to-state; Limited information; Parameter uncertainty; Quantisation; Robustness properties; Stabilisation; Control and Systems Engineering; Computer Science Applications
Franci, Alessio ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Brain-Inspired Computing ; LSS-Univ. Paris Sud 11-Supélec, 91192 Gif sur Yvette, France
Chaillet, Antoine; EECI-LSS-Supélec-Univ. Paris Sud 11, 91192 Gif sur Yvette, France
Language :
English
Title :
Quantised control of nonlinear systems: Analysis of robustness to parameter uncertainty, measurement errors, and exogenous disturbances
De Persis, C., and Isidori, A. (2004), 'Stabilizability by State Feedback Implies Stabilizability by Encoded State Feedback', Systems and Control Letters, 53, 249-258.
Freeman, R. A., and Kokotovich, P. V. (1993), 'Global Robustness of Nonlinear Systems to State Measurement Disturbances', in IEEE 32nd Conference on Decision and Control, pp. 1507-1512.
Hespanha, J. P., Naghshtabrizi, P., and Xu, Y. (2007), 'A Survey of Recent Results in Networked Control Systems', Proceedings of the IEEE, 95, 138-162.
Isidori, A. (1999), Nonlinear Control System II, London: Springer Verlag.
Jaglin, J., Canudas de Wit, C., and Siclet, C. (2008), 'Delta Modulation for Multivariable Centralized Linear Networked Controlled Systems', in Proceedings of the 47th IEEE Conference on Decision and Control, pp. 4910-4915.
Jiang, Z. P., Teel, A., and Praly, L. (1994), 'Small Gain Theorems for ISS Systems and Applications', Mathematics of Control Signals and Systems, 7, 95-120.
Kameneva, T., and Nešić, D. (2008), 'Input-to-state Stabilization of Nonlinear Systems with Quantized Feedback', in Proceedings of the 17th IFAC World Congress, pp. 12480-12485.
Liberzon, D. (2003), 'On Stabilization of Linear Systems with Limited Information', IEEE Transactions on Automatic Control, 48, 304-307.
Liberzon, D. (2008), 'Nonlinear Control with Limited Information', Communications in Information and Systems, 9, 41-58, Roger Brockett Legacy special issue. Available at http://decision. csl.uiuc.edu/liberzon/research/ legacy.pdf
Liberzon, D., and Hespanha, J. P. (2005), 'Stabilization of Nonlinear Systems with Limited Information Feedback', IEEE Transactions on Automatic Control, 50, 910-915. (Pubitemid 40902722)
Liberzon, D., and Nešić, D. (2007), 'Input-to-state Stabilization of Linear Systems with Quantized State Measurements', IEEE Transactions on Automatic Control, 52, 767-781.
Montestruque, L. A., and Antsaklis, P. (2004), 'Stability of Model-based Networked Control Systems with Time-varying Transmission Times', IEEE Transactions on Automatic Control, 49, 1562-1572.
Nair, G. N., and Evans, R. J. (2004), 'Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates', SIAM Journal on Control and Optimization, 43, 413-436.
Nair, G. N., Fagnani, F., Zampieri, S., and Evans, R. J. (2007), 'Feedback Control under Data Rate Constraints: an Overview', Proceedings of the IEEE, 95, 108-137.
Petersen, I. R., and Savkin, A. V. (2001), 'Multi-rate Stabilization of Multivariable Discrete-time Linear Systems via a Limited Capacity Communication Channel', in Proceedings of the 40th IEEE Conference on Decision and Control, pp. 304-309.
Praly, L., and Wang, Y. (1996), 'Stabilization in Spite of Matched Unmodelled Dynamics and an Equivalent Definition of Input-to-state Stability', Mathematics of Control, Signals and Systmes, 9, 1-33.
Sharon, Y., and Liberzon, D. (2007), 'Input-to-state Stabilization with Minimum Number of Quantization Regions', in Proceedings of the 46th IEEE Conference on Decision and Control, pp. 20-25.
Sharon, Y., and Liberzon, D. (2008), 'Input-to-state Stabilization with Quantized Output Feedback', in Proceedings of the 11th International Workshop on Hybrid Systems: Computation and Control, 500-513.
Sontag, E., and Wang, Y. (1995), 'On Characterizations of the Input-to-state Stability Property', Systems and Control Letters, 24, 351-359.
Teel, A., and Praly, L. (1998), 'On Assigning the Derivative of a Disturbance Attenuation clf.', in Proceedings of the 37th IEEE Conference Decision and Control, pp. 2497-2502.