Stochastic Observer-based Guaranteed Cost Control for Networked Control Systems with Packet Dropouts

This paper is concerned with an observer-based guaranteed cost control (GCC) problem for networked control systems (NCSs) with random data packet dropouts. Both the sensor-to-controller (S/C) and controller-to-actuator (C/A) packet dropouts are modeled by two mutually independent stochastic variables satisfying Bernoulli binary distribution. The resultant observer-based controller guarantees that the closed-loop system is stochastically exponentially mean-square stable and the cost function value is not more than a specified upper bound. The controller design problem is transformed to a convex optimization problem, which can be solved by a linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed design method.