Abstract
For a practical system with switching actions, it is necessary to restrict the switching frequency under the limit of its physical constraints, avoiding potential damage to the equipment. In this paper, a mixed switching scheme with both state-dependent and time-dependent functions is designed to reduce the switching frequency. First, a constant dwell-time constraint is considered and a switching logic called dwell-time min-switching rule is designed to ensure the asymptotic stability of switched system. Particularly, our result is found to be able to cover some previous results for min-switching strategy. Subsequently, a switching function with ranged dwell time scheme which means the dwell time belongs to a range other than a fixed value is taken into account. Furthermore, L2 stabilization is studied, and the feedback controller design is incorporated into the framework of dwell-time min-switching logic. Finally, several numerical examples are presented to illustrate our results.
Original language | English (US) |
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Article number | 100872 |
Journal | Nonlinear Analysis: Hybrid Systems |
Volume | 36 |
DOIs | |
State | Published - May 2020 |
Keywords
- Dwell time
- L gain
- Stabilization
- State feedback control
- Switched systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Analysis
- Computer Science Applications