Observer-based finite-time $${H_\infty }$$H∞ control of the T–S fuzzy system with time-varying delay and output constraints

This paper focuses on the problem of observer-based finite-time $${H_\infty }$$H∞ control of the T–S fuzzy system with time-varying delay and output constraints. By using the reciprocally convex approach and constructing appropriate Lyapunov–Krasovskii function, some sufficient criteria are derived to guarantee the T–S fuzzy system is finite-time $${H_\infty }$$H∞ bounded. Furthermore, the conditions for obtaining controller gains and observer-based gains can be tackled in terms of the linear matrix inequalities. Finally, the effectiveness and feasibility of the proposed method can be verified by some examples.

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