Positivity and Saturated Stabilization of Singular Switched Positive Systems Under Mode-Dependent Minimum Dwell Time

Shuo Li, Mingzhe Cui, Choon Ki Ahn, Zhengrong Xiang, Imran Ghous

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This article presents a positivity analysis and exponential stabilization design for singular switched positive systems (SSPSs) with actuator saturation under a mode-dependent minimum dwell time (MDMDT) constraint. First, a necessary and sufficient positivity criterion is proposed for SSPSs using the singular value decomposition approach. Then, an exponential stability condition is provided for the closed-loop SSPSs via the mode-dependent state-feedback control using a novel discretized linear copositive Lyapunov function technique. Furthermore, by applying the matrix decomposition technique to the controller gain matrix and controller auxiliary gain matrix, an effective mode-dependent design scheme for a saturation controller in the solvable linear programming (LP) form is proposed for the SSPSs. For singular positive systems, an effective saturation control scheme in the solvable LP form can be obtained accordingly. Finally, three examples are provided to validate the results.

Original languageEnglish
Pages (from-to)1401-1413
Number of pages13
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume54
Issue number3
DOIs
Publication statusPublished - 2024 Mar 1

Bibliographical note

Publisher Copyright:
© 2013 IEEE.

Keywords

  • Actuator saturation
  • linear programming (LP)
  • mode-dependent minimum dwell time (MDMDT)
  • singular switched positive systems (SSPSs)

ASJC Scopus subject areas

  • Software
  • Human-Computer Interaction
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

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