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In this study, the stabilization for the Takagi-Sugeno (T-S) fuzzy discrete system with constrained controls is investigated. The derived stabilization conditions are based on the Lyapunov stability criterion with the piecewise quadratic Lyapunov function. The constrained control inputs are used to assess the possible state transition, following which the stabilization conditions are reduced. The corresponding Lyapunov inequalities of the interactions among the state transition are integrated into a single matrix to relax the stabilization conditions. Finally, the effectiveness of the proposed stabilization conditions is demonstrated by a numerical example.

Stabilization for the T–S fuzzy system with the constrained control