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A novel alleviating computation algorithm for a class of large-scale nonlinear systems with unknown dead-zones
Authors:Rui Wang  Yan-Jun Liu  Fu-Sheng Yu  Jia-Yin Wang
Institution:1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China
2. School of Science, Liaoning University of Technology, Jinzhou, 121000, People’s Republic of China
Abstract:In this paper, a novel alleviating computation decentralized adaptive fuzzy tracking control approach is presented for a class of uncertain nonlinear large-scale systems which consist of some subsystems with both completely unknown functions and unknown dead-zones. Different from the existing results that are based on the traditional back-stepping scheme as well as approximation technique of fuzzy logic systems (FLSs), this new approach assumes that the norm of optimal approximation parameter vector of FLSs and the approximation error are bounded by unknown parameters. At each design step of this new approach for every subsystem, fewer (only two) bounded adaptive parameters need to be adjusted. Thus, this new approach can alleviate the online computation burden and improve the robust control performance. Meanwhile, under Lyapunov theorem analysis, this approach can not only guarantee that all the signals in the closed-loop system are uniformly ultimately bounded but also guarantee that the outputs can track the reference signals to a small neighborhood of zero. The good performance of this approach is well demonstrated in a simulation example.
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