Adaptive Fuzzy Sliding Mode Control Based on A Modified Lyapunov Function
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摘要: 针对一类不确定非线性系统,基于一种修改的李亚普诺夫函数并利用Ⅱ型模糊系统的 逼近能力,提出了一种稳定自适应模糊控制器设计的新方案.该方案能够避免现有的一些自适 应模糊/神经网络控制器设计中对控制增益一阶导数上界的要求.通过理论分析,证明了闭环模 糊控制系统是全局稳定的,跟踪误差收敛到零.Abstract: A new scheme of an adaptive fuzzy sliding mode controller for a class of uncertain nonlinear systems is proposed in this paper. The design is based on a modified Lyapunov function and the approximation capability of the second type fuzzy systems. In addition, the approach is able to avoid the requirement of the upper bound of the first time derivative of the control gain, which is assumed to be known a priori in some of the existing adaptive fuzzy/neural network control schemes. By theoretical analysis, the closed-loop fuzzy control system is proven to be globally stable in the sense that all signals involved are bounded, with tracking errors converging to zero.
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Key words:
- Nonlinear systems /
- fuzzy control /
- sliding mode control /
- adaptive control /
- global stability
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