## State estimation and stabilization for nonlinear networked control systems with limited capacity channel.(English)Zbl 1231.93111

Summary: This paper investigates the control problem for nonlinear networked control systems with global Lipschitz nonlinearities subject to output quantization and data packet dropout. The system states are unavailable and the outputs are quantized in a logarithmic form before transmitted through the network. In the communication channel, two types of packet losses are considered simultaneously: (i) packet losses from sensor to controller and (ii) packet losses from controller to actuator, which are modeled as two independent Bernoulli distributed white sequences, respectively. Based on the proposed model, an observer-based controller is designed to exponentially stabilize the networked system in the sense of mean square, and sufficient conditions for the existence of the controller are established. Finally, a numerical example is presented to illustrate the effectiveness and applicability of the proposed technique.

### MSC:

 93E10 Estimation and detection in stochastic control theory 93E15 Stochastic stability in control theory 90B18 Communication networks in operations research 93C55 Discrete-time control/observation systems 93C10 Nonlinear systems in control theory 93B07 Observability
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