Membership-Function-Dependent Stabilization of Event-Triggered Interval Type-2 Polynomial Fuzzy-Model-Based Networked Control Systems

TY - JOUR

T1 - Membership-Function-Dependent Stabilization of Event-Triggered Interval Type-2 Polynomial Fuzzy-Model-Based Networked Control Systems

AU - Xiao, Bo

AU - Lam, Hak Keung

AU - Zhong, Zhixiong

AU - Wen, Shuhuan

N1 - Funding Information: This work was partly supported by Imperial College London, King's College London and the Government Guiding Regional Science and Technology Development under Grant 2019L3009. Funding Information: Manuscript received August 29, 2019; revised November 16, 2019; accepted November 26, 2019. Date of publication December 3, 2019; date of current version December 1, 2020. This work was partly supported by Imperial College London, King’s College London and the Government Guiding Regional Science and Technology Development under Grant 2019L3009. (Corresponding authors: Hak-Keung Lam and Zhixiong Zhong.) B. Xiao is with the Hamlyn Centre for Robotic Surgery, Imperial College London, SW7 2AZ London, U.K. (e-mail: [email protected]). Publisher Copyright: © 1993-2012 IEEE.

PY - 2020/12

Y1 - 2020/12

N2 - In 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.

AB - In 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.

KW - Event-triggered control design

KW - interval type-2 (IT2) fuzzy sets

KW - membership-function-dependent (MFD) appro-ach

KW - polynomial fuzzy-model-based (PFMB) control systems

KW - sum-of-squares (SOS)

UR - http://www.scopus.com/inward/record.url?scp=85076292250&partnerID=8YFLogxK

U2 - 10.1109/TFUZZ.2019.2957256

DO - 10.1109/TFUZZ.2019.2957256

M3 - Article

AN - SCOPUS:85076292250

SN - 1063-6706

VL - 28

SP - 3171

EP - 3180

JO - IEEE Transactions on Fuzzy Systems

JF - IEEE Transactions on Fuzzy Systems

IS - 12

M1 - 8920106

ER -