A new framework for output feedback controller design for a class of discrete-time stochastic nonlinear system with quantization and missing measurement

Abstract

In this paper, we are concerned with the problem of analysis and synthesis for a class of output feedback control system. The system under consideration is a discrete-time stochastic system with time-varying delay. It is assumed that the measurement of system is quantized via a logarithmic quantizer before it is transmitted, and the measurement data would be missing from time to time which can be described by a Bernoulli distributed white sequence. In addition, the nonlinearities are assumed to satisfy the sector conditions. The problem addressed is to design an output feedback controller such that the resulting closed-loop system is exponentially stable in the mean square. By employing Lyapunov theory and some new techniques, a new framework is established to cope with the design of output feedback controller for nonlinear systems involving quantization and missing measurement. Sufficient conditions are derived to guarantee the existence of the desired controllers, and the controller parameters are given in an explicit expression as well. A numerical example is exploited to show the usefulness of the results obtained.

Keywords:

• Output feedback control
• quantization
• missing measurements
• Lyapunov–Krasovskii functional
• linear matrix inequality

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61374010], [grant number 61074129], [grant number 61175111]; the Natural Science Foundation of Jiangsu Province of China [grant number BK2012682]; the Qing Lan Project of Jiangsu Province (2010); the 333 Project of Jiangsu Province (2011); the Six Talents Peak Project of Jiangsu Province [DZXX-047, 2012].