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Prescribed Performance Fuzzy Adaptive Output‐Feedback Control for Nonlinear Stochastic Systems

Lili Zhang, Shuai Sui and Shaocheng Tong

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: A prescribed performance fuzzy adaptive output‐feedback control approach is proposed for a class of single‐input and single‐output nonlinear stochastic systems with unmeasured states. Fuzzy logic systems are used to identify the unknown nonlinear system, and a fuzzy state observer is designed for estimating the unmeasured states. Based on the backstepping recursive design technique and the predefined performance technique, a new fuzzy adaptive output‐feedback control method is developed. It is shown that all the signals of the resulting closed‐loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin with the prescribed performance bounds. A simulation example is provided to show the effectiveness of the proposed approach.

Date: 2014
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https://doi.org/10.1155/2014/836378

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