Output Feedback Robust H∞ Control for Discrete 2D Switched Systems

The two-dimensional (2-D) system has a wide range of applications in different fields, including satellite meteorological maps, process control, and digital filtering. Therefore, the research on stability 2-D systems is great significance. Considering that multiple exist switching alternating work actual production process, but itself often external perturbation interference. To solve above problems, this paper investigates output feedback robust H∞ stabilization for class discrete-time switched systems, which Roesser model with uncertainties represents. First, sufficient conditions exponential are derived via average dwell time method, when system’s interference input zero. Furthermore, case introducing interference, weighted disturbance attenuation performance underlying further analyzed. An controller then proposed to guarantee resulting closed-loop exponentially stable prescribed level γ. All theorems mentioned article will also be given form linear matrix inequalities (LMI). Finally, numerical example given, takes two uncertain values respectively solves controller’s parameters by theorem paper. According required parameter values, validity compared verified simulation.