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

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

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This work mainly addresses the state feedback control with D-admissible assurance for descriptor systems subjected to FLORALAX II 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 Electronics - Headphones 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.