Publication

Zonotopic set-membership state estimation for discrete-time descriptor LPV systems

Journal Article (2019)

Journal

IEEE Transactions on Automatic Control

Pages

2092-2099

Volume

64

Number

5

Doc link

https://doi.org/10.1109/TAC.2018.2863659

File

Download the digital copy of the doc pdf document

Abstract

This technical note proposes a novel set-membership state estimation approach based on zonotopes for discrete-time descriptor linear parameter-varying (LPV) systems. The consistency test between the system model and measured outputs is implemented to construct a parameterized intersection zonotope with respect to a correction matrix. With a defined zonotope minimization criterion, we propose a novel offline optimization problem to obtain the optimal correction matrix. In addition, with the proposed approach, an adaptive bound of the radius of the intersection zonotope is also provided. Finally, a case study with a truck-trailer system is shown to illustrate the proposed approach.

Categories

control theory.

Scientific reference

Y. Wang, Z. Wang, V. Puig and G. Cembrano. Zonotopic set-membership state estimation for discrete-time descriptor LPV systems. IEEE Transactions on Automatic Control, 64(5): 2092-2099, 2019.