TY - JOUR
T1 - Zonotoptic Fault Estimation for Discrete-Time LPV Systems with Bounded Parametric Uncertainty
AU - Zhou, Meng
AU - Cao, Zhengcai
AU - Zhou, Mengchu
AU - Wang, Jing
AU - Wang, Zhenhua
N1 - Funding Information:
Manuscript received October 20, 2018; revised December 27, 2018; accepted January 31, 2019. Date of publication March 15, 2019; date of current version February 3, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 91748102, Grant 51575034, and Grant 51805021, in part by the China Postdoctoral Science Foundation under Grant 2018M631311, and in part by the Fundamental Research Funds for the Central Universities under Grant XK1802-4. The Associate Editor for this paper was F.-Y. Wang. (Corresponding authors: Zhengcai Cao; MengChu Zhou.) M. Zhou, Z. Cao, and J. Wang are with the College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China (e-mail: zhoumeng@mail.buct.edu.cn; giftczc@163. com; jwang@mail.buct.edu.cn).
Publisher Copyright:
© 2000-2011 IEEE.
PY - 2020/2
Y1 - 2020/2
N2 - This paper presents a novel interval fault estimation approach by using zonotope technique for discrete-Time linear parameter-varying systems in the presence of bounded parametric uncertainties, measured perturbation, and system disturbance. First, an augmented descriptor system is generated by using augmentation technique. Thus, the problem of interval fault estimation is transformed into the interval augmented state estimation. Then, an outer approximation of the new augmented state estimation domain is computed by using zonotope method. A zonotope should be consistent with the given outputs, perturbation, disturbance, and parametric uncertainties. Besides, it is minimized at each sampled time via an analytic formulation. Finally, a vehicle lateral dynamic nonlinear model is utilized to show the feasibility and effectiveness of the proposed zonotopic fault estimation technique.
AB - This paper presents a novel interval fault estimation approach by using zonotope technique for discrete-Time linear parameter-varying systems in the presence of bounded parametric uncertainties, measured perturbation, and system disturbance. First, an augmented descriptor system is generated by using augmentation technique. Thus, the problem of interval fault estimation is transformed into the interval augmented state estimation. Then, an outer approximation of the new augmented state estimation domain is computed by using zonotope method. A zonotope should be consistent with the given outputs, perturbation, disturbance, and parametric uncertainties. Besides, it is minimized at each sampled time via an analytic formulation. Finally, a vehicle lateral dynamic nonlinear model is utilized to show the feasibility and effectiveness of the proposed zonotopic fault estimation technique.
KW - Interval fault estimation
KW - descriptor method
KW - discrete-Time LPV systems
KW - parametric uncertainty
KW - zonotope
UR - http://www.scopus.com/inward/record.url?scp=85079340945&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85079340945&partnerID=8YFLogxK
U2 - 10.1109/TITS.2019.2898853
DO - 10.1109/TITS.2019.2898853
M3 - Article
AN - SCOPUS:85079340945
SN - 1524-9050
VL - 21
SP - 690
EP - 700
JO - IEEE Transactions on Intelligent Transportation Systems
JF - IEEE Transactions on Intelligent Transportation Systems
IS - 2
M1 - 8667901
ER -