Abstract
This paper addresses the synthesis for a class of discrete fuzzy switched singularly perturbed systems (SPSs) in finite time. Different from Lyapunov stability, finite-time stability (FTS) is set up to analyze the transient performance, where the state remains within the upper thresholds for a given finite-time interval. In the face of singular perturbation, a singular-perturbation-parameter-dependent Lyapunov function is firstly introduced for fuzzy switched SPSs in the sense of finite time. Inspired by the mode-dependent average dwell time (MDADT) switching rule, a developed FTS is constructed to eliminate an ill-conditioned issue owing to a singularly perturbed parameter. Furthermore, a new fuzzy control strategy is proposed to satisfy the predefined FTS. Finally, the feasibility of the main results is proved using an inverted pendulum model.
| Original language | English |
|---|---|
| Pages (from-to) | 1 |
| Number of pages | 1 |
| Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
| DOIs | |
| Publication status | Accepted/In press - 2022 |
Keywords
- fuzzy control
- Lyapunov methods
- Nonlinear systems
- Power system dynamics
- Power system stability
- singularly perturbed parameter
- Switched singularly perturbed systems
- Switched systems
- Switches
- Transient analysis
- transient performance
ASJC Scopus subject areas
- Electrical and Electronic Engineering