Abstract
This paper presents a fuzzy second-order sliding mode controller for a two-cell DC-DC converter. For this aim, a second-order sliding mode controller and a type-2 fuzzy system are combined to achieve an adequate control. For this reason, backgrounds on the type-2 fuzzy sets and on the second-order sliding mode control applied to discrete systems have been presented briefly. A proposed control algorithm is then presented combining these two robust approaches. The asymptotic stability of the overall controlled system has been ensured using the Lyapunov theory. The efficiency and the robustness of the proposed controller have been tested by simulations.
Highlights
DC-DC converters are power electronic circuits used in a large variety of applications in electrical industry and power systems. ese circuits are highly nonlinear and uncertain systems due to their switching properties, varying load, and inaccurate passive elements [1, 2]
It has been shown that multicell DC-DC converters may exhibit chaotic behavior under traditional controllers [5]
We have proposed a discrete type-2 fuzzy secondorder sliding mode controller for two-cell DC-DC converter which inherits the advantages of both sliding mode control and fuzzy systems. e second-order sliding mode control has been proposed as a robust method to control nonlinear and uncertain systems
Summary
DC-DC converters are power electronic circuits used in a large variety of applications in electrical industry and power systems. ese circuits are highly nonlinear and uncertain systems due to their switching properties, varying load, and inaccurate passive elements [1, 2]. Oscillations generated by the discontinuous control are transferred to the higher derivatives of the sliding function in order to reduce oscillation amplitudes while system’s robustness remains intact [15]. This control strategy requires the knowledge of a dynamic model of the system or a disturbance estimation scheme. E main objective of this work is to design a discrete-time second-order sliding mode control strategy enhanced by a stable adaptive type-2 fuzzy inference system to cope with modeling inaccuracies and external disturbances that can arise. To obtain the sliding mode control law, we will use fuzzy systems to approximate unknown system functions f(k) and g(k). By introducing the concept of fuzzy basis function vector ξ, equation (20) can be rewritten as y(x(k)) θTξ(k),
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