Zonotopic Set-Membership State Estimation for Switched Systems With Restricted Switching

In this article, a novel set-membership state estimation method based on zonotopes is proposed for switched systems subject to unknown-but-bounded disturbance with average dwell time (ADT) switching. By testing the consistency between the system model and measured output, an intersection zonotope is constructed based on mode-dependent and semitime-dependent correction matrix. Then, by constructing semitime-dependent P-radius functions, the issue of L, disturbance attenuation performance for the intersection zonotope is addressed. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.

Automated summary

This article proposes a novel set-membership state estimation method based on zonotopes for switched systems subject to unknown-but-bounded disturbance with average dwell time switching. It builds an intersection zonotope by testing the consistency between the system model and measured output, and addresses the issue of disturbance attenuation performance through constructing semitime-dependent P-radius functions. A numerical example is presented to illustrate the effectiveness of the proposed approach.