H∞ control for networked systems with multiple packet dropouts

• The networked control system is modeled as a stochastic parameter system.
• Both sensor-to-controller and controller-to-actuator packet dropouts are considered.
• A condition for H∞ control is provided in terms of LMI with equation constraints.
• An iterative LMI approach is developed to solve the LMI with equation constraints.

In this paper, we present a novel H∞ control scheme for a networked control system (NCS) with multiple data packet dropouts. Multiple data packet dropouts occur randomly in both control channel and measurement channel. The NCS with both measurement and control packet dropouts is modeled as a stochastic parameter system which contains two independent Bernoulli distributed white sequences. An H∞ dynamic output controller is designed to exponentially stabilize the networked system in the sense of mean square, and also to achieve the prescribed H∞ disturbance attenuation level. An iterative algorithm is developed to compute the optimal H∞ disturbance attenuation and the controller parameters by solving the semi-definite programming problem via an interior-point approach. Two illustrative examples are provided to show the applicability of the proposed method.