Title :
Robust fuzzy control of PV systems with parametric uncertainties
Author :
Kamal, E. ; Aitouche, A.
Author_Institution :
Polytech. Lille, LAGIS, Lille 1 Univ. Nord of France, Villeneuve d´Ascq, France
Abstract :
This paper presents the new Robust Nonlinear Fuzzy Control (RNFC) problem for uncertain nonlinear systems and also presents a Takagi-Sugeno (TS) fuzzy model-based maximum power control approach. First, the maximum-power-voltage-based control scheme and direct maximum power control scheme are introduced for the maximum power point tracking (MPPT). Furthermore, the MPPT robustness is also discussed to cope with varying atmosphere and system uncertainties. Second, the nonlinear system with parametric uncertainties is represented by the TS fuzzy model. Next, in order to reduce the number of measured signals, a TS fuzzy observer is established for state feedback. Then, the concept of Parallel Design Compensation (PDC) is employed to design RNFC from the TS fuzzy models. The sufficient conditions are formulated in the format of Linear Matrix Inequalities (LMIs) to obtain the observer and controller gains. The effectiveness of the proposed controller design methodology is finally demonstrated through a photovoltaic panel array to maximize the PV power.
Keywords :
control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; observers; photovoltaic power systems; power control; robust control; state feedback; uncertain systems; voltage control; LMI; PDC concept; PV system; RNFC design; RNFC problem; TS fuzzy model; TS fuzzy model-based maximum power control approach; Takagi-Sugeno fuzzy model; controller design methodology; controller gain; direct maximum power control scheme; linear matrix inequality; maximum power point tracking; maximum-power-voltage-based control scheme; observer gain; parallel design compensation; parametric uncertainty; photovoltaic panel array; photovoltaic system; robust nonlinear fuzzy control; state feedback; sufficient condition; uncertain nonlinear system; Fuzzy control; Fuzzy observer; PV; Parameter uncertainties; TS fuzzy model;
Conference_Titel :
Control and Automation 2013: Uniting Problems and Solutions, IET Conference on
Conference_Location :
Birmingham
Electronic_ISBN :
978-1-84919-710-6
DOI :
10.1049/cp.2013.0007