The Design and Stability Analysis of an Adaptive System Based on Linear T-S Fuzzy System
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摘要: 提出了一种新型的模糊自适应控制器.其中系统的未知函数由线性T-S模糊系统估计, 模糊规则的后件是线性可调的.因线性T-S模糊系统较之Mamdani模糊系统具有更好的估计性 能,我们可以获得更小的跟踪误差.由于采用李亚普诺夫合成方法来设计控制器,整个闭环系统 全局稳定,所有的信号有界.对倒立摆的仿真验证了这一点.
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关键词:
- 模糊自适应 /
- Takagi-Sugeno模糊系统 /
- 仿射非线性系统控制
Abstract: An adaptive fuzzy controller of a class of affine nonlinear systems is presented. The approximators using linear T-S fuzzy logic system (FLS) are adopted to estimate the unknown functions and the tunable parameters are the coefficients of the consequent rules. Because of better estimating performance of linear T-S FLS, we can achieve a smaller tracking error than using Mamdani FLS. The closed-loop system can get global stability by using Lyapunov synthesis approach in the sense that all the signals involved are uniformly bounded. Simulation of inverted pendulum tracking is carried out to verify the design. -
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