Abstract
Fuzzy logic systems with approximation capabilities provide effective control for nonlinear and uncertain systems. Due to the characteristics of photovoltaic (PV) and the PWM method, a grid-connected PV system is a considerably nonlinear system with unpredictable parameters. In this study, a new adaptive interval type-2 fuzzy approximation-based controller (AIT2FAC) was developed to control a three-phase grid-connected PV system. The proposed controller can be implemented without any prior knowledge of the system mathematical model. In the presence of both parametric and modeling uncertainty, the developed controller can achieve the control objectives. The proposed controller utilizes the principle of input-output feedback linearization and the approximation capability of fuzzy systems to the control inverter current components to track prescribed reference values. The proposed AIT2FAC controller is capable of handling system uncertainties due to the interval type-2 fuzzy logic system capability to cope with a high level of uncertainty. Lyapunov analysis is used to determine the closed-loop system stability and the updating laws of the proposed controller parameters. The effectiveness of the designed controller to achieve the required tracking is validated for different operating cases, including system disturbances, modelling, and parameter uncertainties. For evaluation, the proposed type-2 fuzzy controller is compared to a type-1 fuzzy controller in terms of some performance measures. The comparison results demonstrate that the proposed type-2 fuzzy controller has better tracking performance than the type-1 fuzzy controller in terms of the settling time, the maximum overshoot, the integral absolute error (IAE) and the integral time of absolute error (ITAE).
Highlights
Developing effective controllers for nonlinear systems with uncertain parameters is not an easy task
To control uncertain nonlinear systems, adaptive fuzzy control (AFC) approaches based on the approximation property of fuzzy logic systems have been proposed [1,2,3,4] and applied to many power systems and drive applications [5,6,7,8,9]
Researchers initially focused on type-1 fuzzy logic systems (T1FLSs) and their applications
Summary
Developing effective controllers for nonlinear systems with uncertain parameters is not an easy task. We can reasonably say that, regardless of the effectiveness of T1FLSs in many applications, there are other situations where they would not be enough to reach the required degree of accuracy or efficiency To overcome this drawback, the type-2 fuzzy logic system (T2FLS) was first introduced in 1975 by Zadeh [10] and type-2 fuzzy logic controllers (T2FLCs) were introduced by Mendel et al [11,12,13]. An Adaptive fuzzy controller for grid connected inverter systems using type-1 fuzzy is presented in [31, 32]. An adaptive interval type-2 fuzzy-based tracking control (AIT2FAC) is proposed for a PV grid-connected three-phase inverter system to overcome the nonlinearity and uncertainty associated with such a system [31].
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