Brief paper: Robustness of quantized control systems with mismatch between coder/decoder initializations

Authors:
Tatiana Kameneva;Dragan Nešić
Affiliations:
Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, 3010, Victoria, Australia;Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, 3010, Victoria, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 2
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Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates

SIAM Journal on Control and Optimization
Input-to-state stability for discrete-time nonlinear systems

Automatica (Journal of IFAC)

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Abstract

This paper analyzes the stability of linear systems with quantized feedback in the presence of mismatch between the initial conditions at the coder and decoder. Under the assumption of the perfect channel, we show that using the scheme proposed in [Liberzon, D., & Nesic, D. (2007). Input-to-state stabilization of linear systems with quantized state measurements. Institute of Electrical and Electronic Engineers Transaction on Automatic Control, 52, 767-781] it is possible to achieve stability with exponential convergence of linear systems with quantized feedback when the coder and decoder are initialized at different initial conditions.