Zonotopic set-membership state estimation for multirate systems with dynamic event-triggered mechanisms

• Published in: ISA transactions Vol. 130; pp. 667 - 674
• Main Authors: Li, Qi, Zhi, Yufu, Tan, Hailong, Sheng, Weiguo
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.2022
• Subjects: Dynamic event-triggered mechanism; Multirate systems; Set-membership estimation; Zonotopic state estimation; Zonotopic state estimation; Set-membership estimation; Multirate systems; Dynamic event-triggered mechanism
• ISSN: 0019-0578; 1879-2022; 1879-2022
• DOI: 10.1016/j.isatra.2022.07.023

This paper is concerned with the dynamic event-triggered set-membership state estimation issue for a class of multirate networked systems subject to unknown but bounded disturbance and noise. To economize the limited communication resource when performing the desired networked estimation task, a dynamic event-triggered transmission mechanism is proposed to significantly reduce the frequency of sensor data transmissions. A key issue of the addressed problem is to construct a zonotopic outer approximation set to bound the set of states that are consistent with the disturbed system model and the noisy measured outputs. With the help of a prediction-update-correction method, we design a zonotope that is guaranteed to enclose all possible system states due to the unknown disturbance and noise. Then, the size of such a zonotope is minimized by properly designing an introduced correlation matrix at each iteration. Subsequently, the estimation performance is analyzed under the developed zonotopic estimation method. A sufficient condition is further established to ensure the boundedness of the size of the obtained zonotope. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method. •A new zonotopic SMSE problem is studied with multirate strategy and DET mechanisms.•An efficient zonotopic estimation method is proposed to obtain the desired zonotope.•A formal analysis procedure is provided to ensure the boundedness of the zonotope.