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T-S fuzzy-based sliding mode controller design for discrete-time nonlinear model and its applications
Information Sciences Pub Date : 2020-01-08 , DOI: 10.1016/j.ins.2020.01.010
Ramasamy Subramaniam , Dongran Song , Young Hoon Joo

This paper investigates the Takagi–Sugeno (T–S) fuzzy based sliding-mode control (SMC) design of the discrete-time nonlinear model. By constructing a suitable fuzzy membership functions (FMFs) dependent Lyapunov function, the sufficient conditions are derived such that the resultant discrete-time T-S fuzzy model can achieve strictly (Q,S,R)γ dissipative, where Q, S and R are known matrices with compatible dimensions satisfying Q0 and R=RT, and γ is a positive constant. Then, the desired control gain can be obtained by solving a set of linear matrix inequalities (LMIs). Besides that, a fuzzy SMC is designed to assure reaching condition. A modified fuzzy sliding-mode controller is also constructed to adapt input saturation. Finally, simulation results are presented to demonstrate the applicability and effectiveness of the proposed approaches.



中文翻译:

基于TS模糊滑模控制器的离散非线性模型及其应用。

本文研究了基于Takagi-Sugeno(TS)模糊的滑模控制(SMC)设计的离散时间非线性模型。通过构造依赖于Lyapunov的合适的模糊隶属函数(FMFs),推导了充分的条件,使得所得到的离散时间TS模糊模型可以严格实现小号[R-γ 耗散的 小号[R 是相容尺寸满足的已知矩阵 0[R=[RŤγ是正的常数。然后,可以通过求解一组线性矩阵不等式(LMI)获得所需的控制增益。除此之外,还设计了模糊SMC以确保达到条件。还构造了改进的模糊滑模控制器以适应输入饱和度。最后,仿真结果表明了所提出方法的适用性和有效性。

更新日期:2020-01-08
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