Exponential <i>H</i>_∞ Output Control for Switching Fuzzy Systems via Event-Triggered Mechanism and Logarithmic Quantization

Abstract

This paper investigates the problem of exponential H∞ output control for switching fuzzy systems, considering both impulse and non-impulse scenarios. Unlike previous research, where the average dwell time (ADT: τa) and the upper bound of inter-event intervals (IEIs: T) satisfy the condition τa≥lnμ+(α+β)Tα=lnμ+βTα+T, implying that frequent switching is difficult to achieve, this paper demonstrates that by adopting the mode-dependent event-triggered mechanism (ETM) and a switching law, frequent switching is indeed achieved. Moreover, the question of deriving the normal L2 norm constraint is solved through the ADT method, although only a weighted L2 norm constraint was obtained previously. Additionally, by constructing a controller-mode-dependent Lyapunov function and adopting logarithmic quantizers, the sufficient criteria of exponential H∞ output control problem are presented. The validity of established results is demonstrated by a given numerical simulation.

Keywords

• switching fuzzy systems
• exponential <i>H</i>_∞ output control
• event-triggered mechanism
• logarithmic quantization
• average dwell time
• switching law