l₂ - l_∞ Control of Discrete-Time State-Delay Interval Type-2 Fuzzy Systems via Dynamic Output Feedback

TY - JOUR

T1 - l2 - l∞ Control of Discrete-Time State-Delay Interval Type-2 Fuzzy Systems via Dynamic Output Feedback

AU - Zeng, Yi

AU - Lam, Hak Keung

AU - Xiao, Bo

AU - Wu, Ligang

PY - 2020/11/11

Y1 - 2020/11/11

N2 - This article investigates the design of the ℓ₂-ℓ∞ dynamic output-feedback (DOF) controller for interval type-2 (IT2) T-S fuzzy systems with state delay. For nonlinear systems, the IT2 fuzzy model is an efficient modeling method which can better express uncertainties than the (type-1) fuzzy model. In addition, state delay is also a general factor that affects system performance. After analyzing the stability of the system, based on convex linearization and the projection theorem, this article proposes a delay-dependent output-feedback controller design method. The IT2 membership functions (MFs) of the fuzzy controller are chosen to be different from those of the model so as to increase the freedom of controller selection. A membership-function-dependent (MFD) method based on the staircase MFs is applied to relax the stability analysis results. Finally, a numerical simulation example is given to illustrate the effectiveness of the results.

AB - This article investigates the design of the ℓ₂-ℓ∞ dynamic output-feedback (DOF) controller for interval type-2 (IT2) T-S fuzzy systems with state delay. For nonlinear systems, the IT2 fuzzy model is an efficient modeling method which can better express uncertainties than the (type-1) fuzzy model. In addition, state delay is also a general factor that affects system performance. After analyzing the stability of the system, based on convex linearization and the projection theorem, this article proposes a delay-dependent output-feedback controller design method. The IT2 membership functions (MFs) of the fuzzy controller are chosen to be different from those of the model so as to increase the freedom of controller selection. A membership-function-dependent (MFD) method based on the staircase MFs is applied to relax the stability analysis results. Finally, a numerical simulation example is given to illustrate the effectiveness of the results.

KW - Control systems

KW - Delays

KW - Discrete-time system

KW - Fuzzy systems

KW - fuzzy-model-based (FMB) system

KW - Numerical stability

KW - output-feedback control

KW - Power system stability

KW - Stability criteria

KW - state-delay interval type-2 (IT2) fuzzy system

KW - Uncertainty

UR - http://www.scopus.com/inward/record.url?scp=85098794580&partnerID=8YFLogxK

U2 - 10.1109/TCYB.2020.3024754

DO - 10.1109/TCYB.2020.3024754

M3 - Article

AN - SCOPUS:85098794580

SN - 2168-2267

JO - IEEE Transactions on Cybernetics

JF - IEEE Transactions on Cybernetics

ER -