Direct adaptive tracking control for a class of pure-feedback stochastic nonlinear systems based on fuzzy-approximation
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Original versionWang, H., Liu, X., Zhou, Q., & Karimi, H. R. (2014). Direct adaptive tracking control for a class of pure-feedback stochastic nonlinear systems based on fuzzy-approximation. Abstract and Applied Analysis, 2014, 1-10. doi: 10.1155/2014/462468 10.1155/2014/462468
The problem of fuzzy-based direct adaptive tracking control is considered for a class of pure-feedback stochastic nonlinear systems. During the controller design, fuzzy logic systems are used to approximate the packaged unknown nonlinearities, and then a novel direct adaptive controller is constructed via backstepping technique. It is shown that the proposed controller guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error eventually converges to a small neighborhood around the origin in the sense of mean quartic value. The main advantages lie in that the proposed controller structure is simpler and only one adaptive parameter needs to be updated online. Simulation results are used to illustrate the effectiveness of the proposed approach.
Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/462468 Open Access