Impulse minimization, index reduction, and column regularization for descriptor systems

作     者：Kumar, Abhinav Gupta, Mahendra Kumar 

作者机构：Indian Inst Technol Dept Chem Engn Mumbai 400076 Maharashtra India Indian Inst Technol Bhubaneswar Dept Math Khordha 752050 Odisha India 

出 版 物：《JOURNAL OF THE FRANKLIN INSTITUTE》 (J Franklin Inst)

年 卷 期：2025年第362卷第2期

核心收录：

学科分类：0808[工学-电气工程] 07[理学] 08[工学] 0701[理学-数学] 0811[工学-控制科学与工程] 

主　　题：Descriptor systems Impulse elimination Regularization Feedback design Index 

摘      要：Index of a descriptor system reflects the intensity of impulses in its solutions. The necessary and sufficient condition on descriptor systems having index at most a specific value and column regularity are established. Additionally, a necessary condition is proposed for the existence of an output feedback that can reduce the index of the system to a pre-assigned desired value while simultaneously column-regularizing the system. Furthermore, the necessary and sufficient condition is derived for the existence of an output feedback that can reduce the system s index to at most two. All theoretical conditions are proposed directly in terms of system matrices. Orthogonal transformations are used for design procedure and proofs. Numerical and physical examples are presented to support the outcome of this paper.