H∞ gain-scheduled dynamic output feedback control with transient performance applied to electrical microgrid

Fuentes, R. M., Lacerda, Marcio J., Morais, C. F., Oliveira, R. C. L. F. and Palma, J. M. (2024) H∞ gain-scheduled dynamic output feedback control with transient performance applied to electrical microgrid. Journal of the Franklin Institute, 361(7) (106704). pp. 1-19. ISSN 0016-0032

Abstract

This paper introduces an approach for designing gain-scheduled dynamic output feedback controllers for continuous-time Linear Parameter-Varying (LPV) systems. The aim is to improve transient response by incorporating both D-stability and H-infinity criteria into the synthesis conditions. We achieve this by employing changes in variables and congruence transformations, which lead to new synthesis conditions expressed as linear matrix inequalities. Additional fine-tuned scalar parameters can be used to enhance further the controller performance in terms of less conservative H-infinity guaranteed costs.

To assess the effectiveness of our proposed synthesis procedure, we conduct computational experiments in the context of a microinverter-based distributed power generation system. These experiments take into account real-world operational characteristics, providing a comprehensive evaluation of our approach. The results demonstrate that the designed controller effectively ensures the desired closed-loop system behavior, even when dealing with state noise and discretization errors originating from digital implementation.

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