Robust Finite-Time H∞ Control for Nonlinear Jump Systems via Neural Networks

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Luan, Xiaoli, Liu, Fei and Shi, Peng (2010) Robust Finite-Time H∞ Control for Nonlinear Jump Systems via Neural Networks. Circuits, Systems and Signal Processing, 29 (3). pp. 481-498. ISSN 0278-081X

Abstract

This paper presents a neural network-based robust finite-time H∞ control design approach for a class of nonlinear Markov jump systems (MJSs). The system under consideration is subject to norm bounded parameter uncertainties and external disturbance. In the proposed framework, the nonlinearities are initially approximated by multilayer feedback neural networks. Subsequently, the neural networks undergo piecewise interpolation to generate a linear differential inclusion model. Then, based on the model, a robust finite-time state-feedback controller is designed such that the nonlinear MJS is finite-time bounded and finite-time stabilizable. The H∞ control is specified to ensure the elimination of the approximation errors and external disturbances with a desired level. The controller gains can be derived by solving a set of linear matrix inequalities. Finally, simulation results are given to illustrate the effectiveness of the developed theoretic results.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/7234
DOI https://doi.org/10.1007/s00034-010-9158-8
Official URL http://dx.doi.org/10.1007/s00034-010-9158-8
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Current > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Keywords ResPubID20294, Markovian jump systems, finite-time boundedness, finite-time stabilization, H∞ control, neural networks
Citations in Scopus 31 - View on Scopus
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