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Light Emitting Diodes (LEDs) are one of the most promising technology for the future of lighting. The flexibility required by the dimming regulation introduces different and sometimes conflicting objectives which make challenging the control design. In this paper, a photoelectrothermal model of LED integrated with the dynamics of the power converter is presented. The model is used to design a model predictive control which allows the regulation of current, temperatures and luminous flux by satisfying the typical constraints on the control variable and on thermal and electrical state variables. The effectiveness of the proposed controller is verified though simulations by using a LED model whose parameters are tuned from commercial datasheets. [ABSTRACT FROM PUBLISHER]