Research on Fuzzy I-PD Preview Control for Nonlinear System

Abstract

In this paper, we propose a new approach on nonlinear preview control with fuzzy logic. Because preview control can decrease not only the overshoot but also the control energy, there have been many approaches on preview control. However, as these approaches are based on linearized models(18), they cannot get a good result when they are applied to nonlinear plants. So we propose a fuzzy preview control to compensate the nonlinear properties of plant. Here, first, a simple Fuzzy Logic Control (S-FLC) with single-input-single-output is introduced. This kind of Fuzzy Logic Control can decrease the number of rules and make the fuzzy reasoning be more quickly. Second, using the I-PD control system proposed by T. Kitamori, fuzzy I-PD control's scaling factors are designed with matching technique. Then to compensate nonlinear properties of plant, two parameters are injected and optimized with Genetic Algorithm (GA). Third, a new designing scheme of preview control element using fuzzy theory is proposed and the preview control element is optimized with GA under a performance criteria. Being designed on the nonlinear model, it will make the fuzzy preview control be more suitable to nonlinear plant. At last, some experiments with a two-cascaded tank system illustrate the efficiency of the proposed approach.