Optimal H∞H∞ filtering in networked control systems with multiple packet dropouts

This paper studies the problem of H∞H∞ filtering in networked control systems (NCSs) with multiple packet dropouts. A new formulation enables us to assign separate dropout rates from the sensors to the controller and from the controller to the actuators. By employing the new formulation, random dropout rates are transformed into stochastic parameters in the system’s representation. A generalized H∞H∞-norm for systems with stochastic parameters and both stochastic and deterministic inputs is derived. The stochastic H∞H∞-norm of the filtering error is used as a criterion for filter design in the NCS framework. A set of linear matrix inequalities (LMIs) is given to solve the corresponding filter design problem. A simulation example supports the theory.