Piecewise nonlinear control
Piecewise nonlinear control
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DOI：
10.1109/cdc.2003.1272326
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发表时间：
2003-12
期刊：
影响因子：
--
通讯作者：
H. Ohtake;Kazuo Tanaka;Hong Wang
中科院分区：
文献类型：
--
作者：
H. Ohtake;Kazuo Tanaka;Hong Wang
针对分段区域内局部Takagi-Sugeno模糊模型描述的分段Takagi-Sugeno模糊系统，提出分段非线性控制方法。我们提出了分段扇形非线性的思想，从给定的非线性动力学出发构造分段Takagi-Sugeno模糊模型。此外，为了避免一般Lyapunov稳定性结果的保守性，采用了分段模糊Lyapunov函数。基于分段模糊Lyapunov函数方法，给出了一个镇定条件。通过求解得到的条件，设计了一种稳定的分段模糊控制器。一些例子证明了我们方法的有效性。
This paper presents piecewise nonlinear control for piecewise Takagi-Sugeno fuzzy systems described by a local Takagi-Sugeno fuzzy model in each piecewise region. We provide a piecewise sector nonlinearity idea to construct a piecewise Takagi-Sugeno fuzzy model from given nonlinear dynamics. In addition, a piecewise fuzzy Lyapunov function is employed to avoid conservatism of common Lyapunov stability results. We drive a stabilization condition based on the piecewise fuzzy Lyapunov function approach. A stabilizing piecewise fuzzy controller is designed by solving the derived conditions. Some examples demonstrate the effectiveness of our approach.