Simultaneous fault estimation and fault-tolerant tracking control for uncertain nonlinear discrete-time systems |
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Authors: | Meng Zhou Yi Shen |
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Affiliation: | School of Astronautics, Harbin Institute of Technology, Harbin, Heilongjiang, P.R. China |
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Abstract: | This paper deals with simultaneous fault estimation and control for a class of nonlinear systems with parameter uncertainty, which is described by Takagi–Sugeno (T–S) fuzzy model with parameter uncertainties and unknown disturbance. In this paper, a fuzzy reference model is used to generate error dynamic for tracking control. By considering actuator fault as an auxiliary state vector, we construct an augmented error system and propose a fault estimator/controller to achieve simultaneous fault estimation and fault-tolerant tracking control. H∞ approach is used in the design of estimator/controller to attenuate the effect of the unknown disturbance and parameter uncertainties. The design conditions are formulated into a set of linear matrix inequalities (LMIs), which can be efficiently solved. Finally, a pitch-axis nonlinear missile model is used to illustrate the effectiveness of the proposed method. |
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Keywords: | Simultaneous fault estimation and control nonlinear systems Takagi–Sugeno (T–S) model H∞ approach |
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