Stability analysis of discrete-time positive polynomial-fuzzy-model-based control systems through fuzzy co-positive Lyapunov function with bounded control

TY - JOUR

T1 - Stability analysis of discrete-time positive polynomial-fuzzy-model-based control systems through fuzzy co-positive Lyapunov function with bounded control

AU - Li, Xiaomiao

AU - Mehran, Kamyar

AU - Lam, Hak Keung

AU - Xiao, Bo

AU - Bao, Zhiyong

PY - 2020/1/29

Y1 - 2020/1/29

N2 - This study employs a novel fuzzy co-positive Lyapunov function to investigate the stability of discrete-time polynomial-fuzzy-model-based control systems under positivity constraint. The fuzzy co-positive Lyapunov function consists of a number of local sub-Lyapunov function candidates which includes the positivity property of a non-linear system and the contribution of each sub-Lyapunov function candidates depends on the corresponding membership functions. Imperfect premise matching design concept is used for the design of a closed-loop polynomial fuzzy controller based on the constructed polynomial fuzzy model. The bounded control signal conditions (upper and lower boundary demands on control signal) are included in the Lyapunov stability and positivity conditions, in which all are formulated in the form of sum-of-squares conditions. A numerical example is given to validate the proposed approach.

AB - This study employs a novel fuzzy co-positive Lyapunov function to investigate the stability of discrete-time polynomial-fuzzy-model-based control systems under positivity constraint. The fuzzy co-positive Lyapunov function consists of a number of local sub-Lyapunov function candidates which includes the positivity property of a non-linear system and the contribution of each sub-Lyapunov function candidates depends on the corresponding membership functions. Imperfect premise matching design concept is used for the design of a closed-loop polynomial fuzzy controller based on the constructed polynomial fuzzy model. The bounded control signal conditions (upper and lower boundary demands on control signal) are included in the Lyapunov stability and positivity conditions, in which all are formulated in the form of sum-of-squares conditions. A numerical example is given to validate the proposed approach.

UR - http://www.scopus.com/inward/record.url?scp=85078042024&partnerID=8YFLogxK

U2 - 10.1049/iet-cta.2019.0133

DO - 10.1049/iet-cta.2019.0133

M3 - Article

AN - SCOPUS:85078042024

SN - 1751-8644

VL - 14

SP - 233

EP - 243

JO - Iet Control Theory And Applications

JF - Iet Control Theory And Applications

IS - 2

ER -