Paper Info
Title
Membership-Function-Dependent Stabilization of Event-Triggered Interval Type-2 Polynomial Fuzzy-Model-Based Networked Control Systems
Abstract
AbstractIn this article, the stability analysis and control synthesis of interval type-2 (IT2) polynomial-fuzzy-model-based networked control systems are investigated under the event-triggered control framework. The nonlinear dynamics in the plant is efficiently represented by an IT2 polynomial fuzzy model that the IT2 membership functions are utilized to capture the uncertainties in the plant. An event-triggered IT2 polynomial fuzzy controller is then designed to stabilize the nonlinear model subject to uncertainties. The stability conditions of the closed-loop control system are summarized in the form of sum-of-squares. Under the imperfectly premise matching (IPM) concept, the membership-function-dependent (MFD) approach is applied to endow the polynomial fuzzy controllers with more flexibility in terms of number of rules and premise membership functions. In the MFD approach under the IPM concept, both the number of rules and the shape of membership functions in the fuzzy models and controllers can be different. Also, the information of IT2 membership functions of the polynomial fuzzy model and controller is considered and adopted to further relax the stability conditions. Furthermore, the intrinsic mismatched issue of the premise variables of the fuzzy model and controllers due to the event-triggering mechanism is handled by the MFD approach. A detailed simulation example is provided to verify the effectiveness of the proposed event-based control strategy.
Year
DOI
Venue
2020
10.1109/TFUZZ.2019.2957256
Periodicals
Keywords
DocType
Volume
Fuzzy sets, Stability analysis, Uncertainty, Sensors, Adaptation models, Control design, Event-triggered control design, interval type-2 (IT2) fuzzy sets, membership-function-dependent (MFD) appro-ach, polynomial fuzzy-model-based (PFMB) control systems, sum-of-squares (SOS)
Journal
28
Issue
ISSN
Citations 
12
1063-6706
16
PageRank 
References 
Authors
0.55
22
4
Name
Order
Citations
PageRank
Bo Xiao11288.95
H. K. Lam23618193.15
zhixiong zhong38610.38
Shuhuan Wen45411.14