A Novel Approach to State and Unknown Input Estimation for Takagi-Sugeno Fuzzy Models with Applications to Fault Detection

TY - JOUR

T1 - A Novel Approach to State and Unknown Input Estimation for Takagi-Sugeno Fuzzy Models with Applications to Fault Detection

AU - Zhao, Dong

AU - Lam, Hak Keung

AU - Li, Yueyang

AU - DIng, Steven X.

AU - Liu, Shuai

N1 - Funding Information: Manuscript received September 5, 2019; revised December 13, 2019 and January 6, 2020; accepted January 16, 2020. Date of publication January 29, 2020; date of current version June 3, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 61973135, Grant 91948201, and Grant 61773242, and in part by the Shandong Provincial Key Research and Development Program (Major Scientific and Technological Innovation Project) under Grant 2019JZZY010441. This article was recommended by Associate Editor P. Shi. (Corresponding author: Yueyang Li.) Dong Zhao and Steven X. Ding are with the Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, 47057 Duisburg, Germany (e-mail: [email protected]; [email protected]). Publisher Copyright: © 2004-2012 IEEE.

PY - 2020/6

Y1 - 2020/6

N2 - In this paper, a novel approach is proposed for state and unknown input estimation of Takagi-Sugeno fuzzy systems. By introducing an augmented state vector, containing both system state and the unknown input, a functional observer is proposed to estimate this vector, and the proposed observer provides a highly flexible estimation output. Through casting the observer design problem into an equivalent solvability problem of a linear matrix equation with respect to the observer gains, the existence condition for the proposed observer is explicitly derived in terms of matrix rank. Furthermore, a parameterization methodology of the observer gain matrices is provided as well, which avoids directly solving the Sylvester equation. The proposed observer design scheme is further applied to the H\_{}/H_\infty fault detection problem, and the effectiveness of the proposed approach is demonstrated by state and unknown input estimation for a tunnel diode circuit and fault detection for a continuously stirred tank reactor system.

AB - In this paper, a novel approach is proposed for state and unknown input estimation of Takagi-Sugeno fuzzy systems. By introducing an augmented state vector, containing both system state and the unknown input, a functional observer is proposed to estimate this vector, and the proposed observer provides a highly flexible estimation output. Through casting the observer design problem into an equivalent solvability problem of a linear matrix equation with respect to the observer gains, the existence condition for the proposed observer is explicitly derived in terms of matrix rank. Furthermore, a parameterization methodology of the observer gain matrices is provided as well, which avoids directly solving the Sylvester equation. The proposed observer design scheme is further applied to the H\_{}/H_\infty fault detection problem, and the effectiveness of the proposed approach is demonstrated by state and unknown input estimation for a tunnel diode circuit and fault detection for a continuously stirred tank reactor system.

KW - fault detection

KW - Fuzzy systems

KW - matrix equation

KW - state estimation

KW - unknown input

UR - http://www.scopus.com/inward/record.url?scp=85085550834&partnerID=8YFLogxK

U2 - 10.1109/TCSI.2020.2968732

DO - 10.1109/TCSI.2020.2968732

M3 - Article

AN - SCOPUS:85085550834

SN - 1549-8328

VL - 67

SP - 2053

EP - 2063

JO - IEEE Transactions on Circuits and Systems I: Regular Papers

JF - IEEE Transactions on Circuits and Systems I: Regular Papers

IS - 6

M1 - 8974424

ER -