Stabilization for a class of rectangular descriptor systems via time delayed dynamic compensator

Chong Lin, Jian Chen, Bing Chen, Lei Guo, Qing Guo Wang, Ziye Zhang

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

This paper focuses on the stabilization problem for a class of rectangular descriptor systems through dynamic compensation. Such class of systems may not be stabilized by delay-free dynamic compensators, while delayed dynamic compensator could achieve such purpose. We provide a design scheme of time-delayed dynamic compensator which makes the closed-loop system admissible. The design involves solving a quadratic matrix inequality, and consequently, we build a linear matrix inequality (LMI) based algorithm to compute compensator gains. We verify that, under certain circumstances for which delay-free dynamic compensators fail to stabilize, the proposed method works well. An illustrative example demonstrates the usefulness of the present scheme.

Original languageEnglish
Pages (from-to)1944-1954
Number of pages11
JournalJournal of the Franklin Institute
Volume356
Issue number4
DOIs
Publication statusPublished - Mar 2019

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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