TY - JOUR
T1 - Reduced-order Extended Dissipative Filtering for Nonlinear Systems with Sensor Saturation via Interval Type-2 Fuzzy Model
AU - Zeng, Yi
AU - Lam, Hak-Keung
AU - Xiao, Bo
AU - Wu, Ligang
AU - Chen, Ming
N1 - Funding Information:
This work was supported in part by King's College London, in part by China Scholarship Council, in part by the National Key R&D Program of China underGrant 2019YFB1312000, in part by theNationalNatural Science Foundation of China under Grant 62033005, Grant 62022030, and Grant 62003114, and in part by the Natural Science Foundation of Heilongjiang Province under Grant ZD2021F001.
Publisher Copyright:
© 1993-2012 IEEE.
PY - 2022/11/1
Y1 - 2022/11/1
N2 - The system nonlinearity, sensor saturation, and the uncertainty will hamper the analysis and affect the control performance. Filtering is a signal processing method which facilitates the system analysis and synthesis by signal estimation or noise suppression. To achieve generalized filtering problem for nonlinear systems with sensor saturations with lower computational burden, this article addresses the reduced-order extended dissipative filter design for nonlinear sensor-saturated system which is modeled by interval type-2 (IT2) T-S fuzzy system. For IT2 T-S fuzzy systems, the main challenge exists in the acquisition of the information in IT2 membership functions (MFs) for analysis and design. A membership-function-dependent (MFD) method is applied to capture the information of the MFs for reducing the conservativeness introduced by MFs not involved in the analysis. An extended dissipative filtering method, under imperfect premise matching (IPM) concept that the membership functions of the filter are different from those of the model, is proposed for sensor-saturated IT2 fuzzy systems. The proposed method has a high flexibility in parameters adjustment of both the filter and the design condition, including extended dissipative matrices, approximation MFs, and sensor saturation degree, one can freely choose the parameters according to the required performance of the fuzzy filter. A numerical example is given to demonstrate the effectiveness of the results.
AB - The system nonlinearity, sensor saturation, and the uncertainty will hamper the analysis and affect the control performance. Filtering is a signal processing method which facilitates the system analysis and synthesis by signal estimation or noise suppression. To achieve generalized filtering problem for nonlinear systems with sensor saturations with lower computational burden, this article addresses the reduced-order extended dissipative filter design for nonlinear sensor-saturated system which is modeled by interval type-2 (IT2) T-S fuzzy system. For IT2 T-S fuzzy systems, the main challenge exists in the acquisition of the information in IT2 membership functions (MFs) for analysis and design. A membership-function-dependent (MFD) method is applied to capture the information of the MFs for reducing the conservativeness introduced by MFs not involved in the analysis. An extended dissipative filtering method, under imperfect premise matching (IPM) concept that the membership functions of the filter are different from those of the model, is proposed for sensor-saturated IT2 fuzzy systems. The proposed method has a high flexibility in parameters adjustment of both the filter and the design condition, including extended dissipative matrices, approximation MFs, and sensor saturation degree, one can freely choose the parameters according to the required performance of the fuzzy filter. A numerical example is given to demonstrate the effectiveness of the results.
UR - http://www.scopus.com/inward/record.url?scp=85141715607&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2022.3162392
DO - 10.1109/TFUZZ.2022.3162392
M3 - Article
SN - 1063-6706
VL - 30
SP - 5058
EP - 5064
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 11
ER -