Network-Aware Controller Design With Performance Guarantees for Linear Wireless Systems

We investigate discrete-time closed-loop dynamics consisting of a linear plant, a linear controller and a wireless network that connects the sensors and the actuators to the control unit. The objective, and the main contribution of this work, is the static output feedback control synthesis under given network specifications. Precisely, the network features are formulated in terms of stochastic allowable transmission interval (SATI) which is a concept well-suited for the time-triggered control of wireless network control systems (WNCS). Given SATI parameters, we provide sufficient conditions in terms of linear matrix inequalities (LMIs) under which we can design a static output feedback controller that stabilizes the closed-loop WNCS in mean-square sense. Moreover, we guarantee that a quadratic control cost is less than a given bound. Consequently, the results can be used to ensure not only stability but also desired control performances for the WNCS and its SATI characteristics.