Evaluation and attainment of weighted performance measures in descriptor control systems

  • A. G. Mazko Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev
Keywords: Descriptor system, external disturbances, robust stabilization, weighted H_inf optimization


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.

Author Biography

A. G. Mazko, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev



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How to Cite
Mazko, A. G. “Evaluation and Attainment of Weighted Performance Measures in Descriptor Control Systems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 7, Aug. 2022, pp. 980 -90, doi:10.37863/umzh.v74i7.7167.
Research articles