Adaptive memory‐event‐triggered H∞ control for network‐based T‐S fuzzy systems with asynchronous premise constraints

Abstract

Abstract This paper presents a novel adaptive memory‐event‐triggered scheme (A‐METS) for network‐based T‐S fuzzy systems with asynchronous premise constraints. Different from the event‐triggered scheme (ETS), the proposed A‐METS has two characters. First, some recent released packets are applied in deciding whether the current packet is supposed to be released. Second, the triggering parameter can adjust itself according to the variation of the state. It should be pointed out that the proposed adaptive memory‐event‐triggered scheme can save network recourses and improve the system performance simultaneously when compared with ETS or adaptive ETS. Furthermore, considering the network environment, the asynchronous premise between the fuzzy plant and controller are considered. By resorting to the Lyapunov functional approach, sufficient conditions are derived for the stability and H∞ performance of the network‐based T‐S fuzzy systems. For the sake of illustrating the usefulness of the proposed adaptive memory‐event‐triggered scheme, a tunnel diode circuit example is demonstrated at the end of this paper.

Keywords

• Stability in control theory
• Optimal control
• Self-adjusting control systems
• Fuzzy control