H∞ control for networked systems with multiple packet dropouts

Abstract

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.