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 language | English |
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Pages (from-to) | 1401-1413 |
Number of pages | 13 |
Journal | IEEE Transactions on Systems, Man, and Cybernetics: Systems |
Volume | 54 |
Issue number | 3 |
DOIs | |
Publication status | Published - 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