Designing a Fuzzy Type I and Type II Estimator to Estimate Future Signal Values

Abstract

Estimating future signal values plays an important role in control systems as it helps in optimizing controller parameters and gains, as well as pre-

adjusting the behavior of the controller. Its importance is not limited to control, but extends to several other fields such as medical, industrial, networking, and economic domains. Fuzzy logic is one of the well-known intelligent techniques for dealing with ambiguity and uncertainty in available information. Fuzzy logic has been used in this article to estimate future signal values, where two Mamdani fuzzy estimators are designed: the first one is a fuzzy type I estimator, and the second one is a fuzzy type II estimator. The estimators were tested on a several signals under different conditions of response speed, overshoot, and vibration, and the results of the estimators were compared by measuring the error ratio between the true signal and the estimated signal from both estimators. The results demonstrate the high capability of the fuzzy estimator in estimating future values With the superiority of the fuzzy type II estimator over its fuzzy type I counterpart.