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 ,, criteria into the synthesis conditions. We achieve this by employing changes of 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 ,, guaranteed costs. To assess the effectiveness of our proposed synthesis procedure, we conduct computational experiments in the context of a microinverterbased 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.