Output feedback robust H ∞ control for uncertain descriptor fractional order systems with 0 < α < 1

Abstract

Novel criteria of the bounded real lemma corresponding to H _∞ norm of descriptor fractional order systems with 0 < α < 1 are studied. The conditions are presented in terms of strict linear matrix inequalities , which contain real decision variables of linear matrix inequalities instead of complex decision variables. Based on the new bounded real lemma, output feedback robust H _∞ control for uncertain DFOS with norm bounded is studied for the first time. Different from the existing results, the presented results are more convenient to design controllers and are directly solved by any linear matrix inequality toolbox. Finally, three examples are proposed to verify the validity of conclusions.