Mixed H2/H8 control for a class of nonlinear discrete-time networked control systems with random delays and stochastic packet dropouts

The paper studies the problem of mixed H2/H∞ control for a class of nonlinear discrete‐time networked control systems. By using the indicator function method, random network‐induced delays and stochastic packet dropouts are taken into account in a unified framework in the designed mixed H2/H∞ controller. In the presences of random transmission delays, stochastic packet dropouts and all admissible disturbances, the resulting closed‐loop system is stochastically stable in mean square and attains the prescribed H2 and H∞ performances. The designed mixed H2/H∞ controller can be obtained by solving a set of feasible linear matrix inequalities. Finally, a numerical example is provided to show the usefulness and effectiveness of the developed method.