Abstract
A new discrete-time fuzzy partial state feedback control method for the nonlinear systems with unknown time-delay is proposed. Ma et al. proposed the design method of the fuzzy controller based on the fuzzy observer and Cao and Frank extend this result to be applicable to the case of the nonlinear systems with the time-delay. However, the time-delay is likely to be unknown in practical. In this paper, the sufficient condition for the asymptotic stability is derived with the assumption that the time-delay is unknown by applying Lyapunov–Krasovskii theorem and this condition is converted into the LMI problem.
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Shin, H., Choi, C., Kim, E. et al. Fuzzy Partial State Feedback Control of Discrete Nonlinear Systems with Unknown Time-Delay. Fuzzy Optimization and Decision Making 3, 83–92 (2004). https://doi.org/10.1023/B:FODM.0000013073.24535.7d
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DOI: https://doi.org/10.1023/B:FODM.0000013073.24535.7d