期刊
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
卷 26, 期 1, 页码 109-142出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218488518500071
关键词
Fuzzy logic systems (FLS); Stochastic nonlinear systems; time-varying input delay; distributed state time-varying delays; hyperbolic tangent functions; quadratic functions
资金
- National Natural Science Foundation of China [11401457, 61403298, 11626183]
- Shaanxi Province Natural Science Fund of China [2017JQ6059, 2016JM1035]
In this paper, for the stochastic nonlinear systems the adaptive fuzzy tracking controllers are constructed by using the fuzzy logic systems (FLS) and the classical quadratic functions. Compared with the existing results for adaptive fuzzy control, the stochastic nonlinear systems investigated in this paper are much more complex since the systems not only have distributed state time-varying delays in the noise jamming intensity terms but also have the time-varying delays in the input signals. During the controller design procedure, through appropriate assumptions and a state transformation the system with time-varying input delay can be easily transformed into a system without input delay. The other main advantage is that quadratic functions are used as Lyapunov functions to analyze the stability of systems, other than the fourth moment approach proposed by H. Deng and M. Krstic, and the hyperbolic tangent functions are introduced to deal with the Hessian terms. The proposed adaptive fuzzy controller guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error can converge to a small residual set around the origin in the mean square sense.
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