Robust H∞ Observer-based Sliding Mode Control for Discrete 2D Systems with Parametric Uncertainties

In this paper, the robust observer-based H-infinity control is investigated using sliding mode control (SMC) for class of uncertain 2D systems represented by Modified Fornasini Marchesini (MFM) state-space model. At first, using the sliding mode control method and defining suitable 2D sliding surfaces based on estimated states, control law is designed such that insures the reachability of sliding surfaces. Afterwards, sufficient conditions are obtained to guarantee satisfying the H-infinity performance level of the closed-loop system for all bounded parameter uncertainties. Conditions are expressed in terms of solvable linear matrix inequality (LMI). Finally, a numerical example illustrated to verify the proposed method validation and efficiency.