Robust H∞ control of discrete-time singular T-S fuzzy systems

This paper investigates the problem of robust H
∞
state-feedback control for a class of discrete-time singular T-S fuzzy systems with norm-bounded parameter uncertainties. By taking into account the relationships between the slow and fast subsystems of a discrete-time singular T-S fuzzy system, a bounded real lemma is firstly derived, which is shown to be sufficient and necessary. Based on this, an explicit expression for the desired controller is given in terms of a set of strict linear matrix inequalities (LMIs), which involve no system decomposition.