Robust State Feedback Control With D-Admissible Assurance for Descriptor Systems Subjected to Perturbed Derivative Matrix

Abstract

This work mainly addresses the state feedback control with D-admissible assurance for descriptor systems subjected to perturbed derivative and systems’ matrices simultaneously. By the linear matrix inequality (LMI) and matrix algebra manipulation, extended admissible and D-admissible analysis criteria are first presented for the regarded systems. The distinct results introduce a set of slack matrices for reducing the conservatism of the analyzing criteria, and a numerical example is given for demonstration. By involving the state feedback control, the controller design scheme can be performed for admissible and D-admissible assurance of the closed system. Since all the conditions can be formed in terms of the strict LMIs, existing LMI tools are proper for evaluation. Finally, two design examples, a numerical example and an extended RLC circuit paradigm, illustrate the validation and feasibility of the results.

Keywords

• Descriptor systems
• state feedback control
• D-admissibility
• pole assignment
• linear matrix inequalities (LMIs)