Gain-Scheduled Control Design Applied to Classical dc–dc Converters in Photovoltaic Systems and Constant Power Loads

Abstract

This paper investigates the problem of control design for dc–dc converters, where the solution is especially suitable to address variations in the input voltage, a frequent situation in photovoltaic systems, and the problem of constant power load, where a nonlinear load is connected to the output of the converter. The proposed approach models the converters in terms of Linear Parameter-Varying (LPV) models, which are used to compute gain-scheduled robust gains. The synthesis conditions provide stabilizing controllers with an attenuation level of disturbances in terms of the H∞ norm. Moreover, the design conditions can also overcome pole locations to comply with physical application restrictions when ensuring transient performance. The validation of the controllers is made via simulation of the classical converters (buck, boost and buck-boost), showing that the proposed method is a viable and generalized control solution that works for all three converters, with guarantees of closed-loop stability and good performance.

On the State-Feedback Controller Design for Polynomial Linear Parameter-Varying Systems with Pole Placement within Linear Matrix Inequality Regions

“…Consequently, and aiming at improving the control systems results, several methods are frequently reported, including those dealing with mathematical approximations for dynamical systems from nonlinear representations. This is the case of linear parameter-varying (LPV) systems [1][2][3][4][5][6], from which nonlinear behaviors can be achieved in such a way that they can be addressed while considering extensions of existing theories for LTI systems with certain restrictions. The previous can be viewed as the main contribution of LPV systems to control systems theory.…”