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This paper studies the problem of fuzzy output control of discrete-time nonlinear systems with immeasurable state variables, time-varying delay, and data packet dropout. A T–S fuzzy model is used to represent the original nonlinear systems with time-varying delay, and the Bernoulli distribution is employed to describe the dropout process of the random packet. The two uncertainties of time delay and data packet dropout are considered in the system design. By constructing a fuzzy Lyapunov–Krasovskii functional and introducing a summation inequality based on Cauchy–Schwartz form, the existence condition of fuzzy static output feedback controller is established by using linear matrix inequalities (LMIs). The simulation example verifies the effectiveness of the proposed method.

Fuzzy Static Output Feedback Control for Discrete-time Nonlinear Time-varying Delay Systems in a Network Environment