Abstract.A new method about the sliding mode variable structure based on fuzzy reaching law is proposed and it can be applied to double inverted pendulum system. Not only can this method adopt fuzzy reaching law control the double inverted pendulum effectively, also it can significantly weak chattering and improve the speedingness and robustness of the system. Simulation results show the way is possible and effective. The method of using fuzzy reaching law system is better than traditional variable structures.
As a measure of relative variability, the coefficient of variation (CV) is a valuable charting statistic in statistical process control. Great efforts have been devoted to monitoring CV efficiently. To further improve the performance of CV charts, this paper proposes three Double Exponentially Weighted Moving Average (DEWMA) charts by incorporating Variable Sampling Interval (VSI) strategies to monitor the CV squared. The run length properties of the proposed charts are evaluated via Monte Carlo simulations. Comparative studies show that the proposed VSI DEWMA CV charts detect the process shifts faster than the existing CV charts. A real data example is presented to illustrate the VSI DEWMA CV charts.
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