H∞Fuzzy State-Feedback Control Plus State-Derivative-Feedback Control Synthesis for Photovoltaic Systems
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Publication Details
Author list: Kaewpraek N., Assawinchaichote W.
Publisher: Wiley
Publication year: 2016
Journal: Asian Journal of Control (1561-8625)
Volume number: 18
Issue number: 4
Start page: 1441
End page: 1452
Number of pages: 12
ISSN: 1561-8625
eISSN: 1934-6093
Languages: English-Great Britain (EN-GB)
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Abstract
This paper addresses the problem of designing an H∞fuzzy state- feedback (SF) plus state-derivative-feedback (SDF) control system for photovoltaic (PV) systems based on a linear matrix inequality (LMI) approach. The TS fuzzy controller is designed on the basis of the Takagi-Sugeno (TS) fuzzy model. The sufficient condition is found such that the system with the fuzzy controller is asymptotically stable and an H∞performance is satisfied. First, a dc/dc buck converter is considered to regulate the power output by controlling state and state-derivative variables of PV systems. The dynamic model of PV systems is approximated by the TS fuzzy model in the form of nonlinear systems. Then, based on a well-known Lyapunov functional approach, the synthetic is formulated of an H∞fuzzy SF plus SDF control law, which guarantees the L2-gain from an exogenous input to the regulated output to be less than or equal to some prescribed value. Finally, to show effectiveness, the simulation of the PV systems with the proposed control is assessed by the computer programme. The proposed control method shows good performance for power output and high stability for the PV system. © 2015 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
Keywords
H∞ fuzzy control, state-derivative-feedback (SDF) control, state- feedback (SF) control, Takaki-Sugeno (TS) fuzzy
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