Zonotope-Based Interval Estimation for 2-D FMLSS Systems Using an Event-Triggered Mechanism

Abstract

This study considers the problem of interval estimation for event-triggered 2-D systems in Fornasini–Marchesini local state-space (FMLSS) model. In such systems, the general hypothesis for practical applications is that exogenous disturbances and measurement noise are unknown but bounded. First, an observer design criterion is deduced from the defined zonotopic radius and weighted radius of the FMLSS model. Subsequently, to economize the restricted communication resources, an event-driven data transmission strategy is employed for the observer. Then, a sufficient criterion is established to guarantee the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {L}_\infty$</tex-math></inline-formula> performance for the considered 2-D FMLSS system with the event-triggered scheme. From the obtained observer, the estimation interval of the 2-D system is derived by using the zonotopic state estimation approach. Finally, the validity is confirmed by simulations.