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H ∞ Fuzzy State‐Feedback Control Plus State‐Derivative‐Feedback Control Synthesis for Photovoltaic Systems
Author(s) -
Kaewpraek Nikorn,
Assawinchaichote Wudhichai
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1233
Subject(s) - control theory (sociology) , fuzzy control system , fuzzy logic , photovoltaic system , controller (irrigation) , linear matrix inequality , mathematics , lyapunov function , nonlinear system , computer science , engineering , mathematical optimization , control (management) , physics , agronomy , quantum mechanics , artificial intelligence , electrical engineering , biology
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 L 2 ‐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.