Evaluation and attainment of weighted performance measures in descriptor control systems

• Datum: 2022
• Hauptverfasser: Mazko, A. G., Мазко, Алексей, Мазко, О. Г.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7167
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.925.51; 681.5.03 We consider a class of linear descriptor control systems with bounded perturbations and establish a criterion and sufficient conditions for the existence of static controllers guaranteeing that the closed-loop system is admissible and satisifies a desired estimate for the weighted  level of damping of the external and initial disturbances.  We propose new methods for the synthesis of generalized state-feedback $H_\infty$-controllers that are reduced to solving linear matrix inequalities without additional constraints. In order to illustrate the accumulated results, we present an example of descriptor system for the stabilization of an electric circuit.