对稳定的模糊自适应控制方案的研究与改进
Study and Modification on Stable Adaptive Fuzzy Control
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摘要: 对美国加州伯克利大学Li-Xin Wang1993年提出的模糊自适应控制方案的稳定性 条件进行了研究,证明了两个新的结论:1)原来的监督控制可以取消;2)渐近稳定的条件可由 w(t)平方可积放宽到w(t)→0.在此基础上,提出并证明了一种模糊自适应控制的新方案,它 能在任何情况下保证闭环渐近稳定,并在一定条件下还能保证参数收敛.对一阶不稳定与二 阶混沌两个控制对象的仿真实验结果表明,新方案的控制效果比Wang的方案有很大提高.Abstract: This paper analyzes the stability of an adaptive fuzzy control scheme which was presented by Li-Xin Wang in 1993,and proves two new results. First, the supervisory control is unnecessary in the sense of stability; second, the asymptotical converging condition of tracking error can be weakened to w(t)→0. Furthermore, a new adaptive fuzzy control scheme is proposed, which not only can make the closed-loop system always asymptotically stable, but also can make the parameter vector 0 converge to the optimum value under certain conditions. Simulation results for an unstable nonlinear system and a chaotic plant have demonstrated that the new adaptive fuzzy control scheme performes much superior to Wang's scheme.
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Key words:
- Adaptive fuzzy control /
- stability /
- nonlinear systems
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