Network-based stabilization of linear systems via static output feedback

This paper is concerned with the problem of static output feedback control for networked systems with a logic zero-order-hold (ZOH). First, the networked closed-loop system is modeled as a discretetime linear system with a time-varying delay, whose upper bound can be regarded as not only the admissible maximum delays induced by the network but also the admissible maximum number of packet dropouts between any two consecutive updating instants of ZOH. Then, in order to obtain a larger upper bound of the time-varying delay, a generalized finite-sum inequality is introduced, based on which, a less conservative stability condition is derived by incorporating with convex combination technique. By using the cone complementary linearization approach, the desired output feedback controllers can be designed by solving a nonlinear minimization problem subject to a set of linear matrix inequalities. Finally, some examples are given to show the effectiveness of the proposed method.