New Output Feedback Design Method for Singular Systems Based on Algebraic Criteria

doi:10.12068/j.issn.1005-3026.2022.01.001

Abstract

Abstract: A new design method of the static output feedback control for singular systems is proposed. Firstly， by using the matrix trace inequality， the admissibility issue of singular systems is introduced and the algebraic criteria of admissibility for this kind of systems is established. Secondly， based on the admissibility analysis result， the sufficient condition for static output feedback controller design is obtained to ensure the admissibility for closed-loop systems. Meanwhile， the solving method of matrix trace inequality is given to obtain the gain matrix. Different from the design method of static output feedback controller via linear matrix inequalities， the proposed method does not need the special requirement setting of output matrix. Finally， three numerical examples illustrate the feasibility and effectiveness of the proposed theoretical method， which also applies for the output feedback controller design of normal systems.

Key words: singular systems; algebraic criteria; admissibility; static output feedback; matrix trace

CLC Number:

TP273

QIAO Liang， LI Lin-lin， REN Jun-chao. New Output Feedback Design Method for Singular Systems Based on Algebraic Criteria[J]. Journal of Northeastern University(Natural Science), 2022, 43(1): 1-7.

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