T–S-fuzzy-model-based approximation and controller design for general nonlinear systems

Q Gao, XJ Zeng, G Feng, Y Wang… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
IEEE Transactions on Systems, Man, and Cybernetics, Part B …, 2012ieeexplore.ieee.org
This paper presents a novel approach to control general nonlinear systems based on Takagi-
Sugeno (TS) fuzzy dynamic models. It is first shown that a general nonlinear system can be
approximated by a generalized TS fuzzy model to any degree of accuracy on any compact
set. It is then shown that the stabilization problem of the general nonlinear system can be
solved as a robust stabilization problem of the developed TS fuzzy system with the
approximation errors as the uncertainty term. Based on a piecewise quadratic Lyapunov …
This paper presents a novel approach to control general nonlinear systems based on Takagi-Sugeno (T-S) fuzzy dynamic models. It is first shown that a general nonlinear system can be approximated by a generalized T-S fuzzy model to any degree of accuracy on any compact set. It is then shown that the stabilization problem of the general nonlinear system can be solved as a robust stabilization problem of the developed T-S fuzzy system with the approximation errors as the uncertainty term. Based on a piecewise quadratic Lyapunov function, the robust semiglobal stabilization and H control of the general nonlinear system are formulated in the form of linear matrix inequalities. Simulation results are provided to illustrate the effectiveness of the proposed approaches.
ieeexplore.ieee.org
以上显示的是最相近的搜索结果。 查看全部搜索结果