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An Approach to Stability Analysis for Fuzzy Control Systems with Parametric Uncertainty

机译：具有参数不确定性的模糊控制系统稳定性分析方法

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In order to analysis the stability of a class of time invariant. single value nonlinear control systems quantitatively, stability margins of self-sustaining oscillation was defined. and self-sustained oscillation criterion is proposed. by extending the stability margins of linear system in frequency domain to the harmonic balance method of nonlinear system. Two typical fuzzy control systems with strong application background have been analyzed by applying the method successfully. where the time-varying properties of the object is represented by parameters uncertainty. The simulation results verify the effectiveness of the method. The advantage is prominent for fuzzy control systems since the fuzzy rules are difficultly expressed by equations. Through our method. we could look into time dine domain behaviors of nonlinear control systems from their stability margins of self-sustaining oscillation in frequency domain. Further more. it could help us to explain why self-sustaining oscillation occurs in physical equipment and how to avoid it.
机译：为了分析一类时间不变的稳定性。单值非线性控制系统定量地，定义了自维持振荡的稳定性边缘。提出了自我持续的振荡标准。通过将频域线性系统的稳定性边缘扩展到非线性系统谐波平衡方法。通过成功应用该方法，已经分析了具有强大应用背景的两个典型模糊控制系统。其中对象的时变特性由参数不确定性表示。仿真结果验证了该方法的有效性。由于模糊规则难以通过方程式表示，因此优点是模糊控制系统突出的。通过我们的方法。从频域中自动振荡的稳定边缘，我们可以调查非线性控制系统的时间用力域行为。此外。它可以帮助我们解释为什么自我维持振荡发生在物理设备中以及如何避免它。

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