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Controller Design for a Class of Nonlinear Systems Based on Fuzzy Hyperbolic Model

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4 Author(s)
Jun Yang ; School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China 110004. Email: ; Derong Liu ; Jian Feng ; Huaguang Zhang

In this paper, a fuzzy hyperbolic Hinfin controller (FHC), for a class of nonlinear systems based on fuzzy hyperbolic model (FHM), is proposed. FHM is a universal approximator, and can be used to establish the model for unknown complex systems. Moreover, the main advantage of using FHM over T-S fuzzy model is that no premise structure identification is need and no completeness design of premise variables space is need. Also an FHM is a kind of valid global description and nonlinear model inherently. Firstly, an FHM is proposed to represent the state-space model for nonlinear systems. Secondly, considering the influence of approximation error and external disturbance, fuzzy hyperbolic Hinfin control scheme is addressed by solving a set of linear matrix inequalities (LMIs). Some free-weighting matrices are introduced to express the relationships among the system variables. The results are then easily extended to a system with polytopic-type uncertainties. Simulation research shows the validity of this control scheme

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2006 6th World Congress on Intelligent Control and Automation  (Volume:1 )

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