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Abstract:
This paper addresses mixed H2/H-infinity fault-tolerant sampled-data (SD) fuzzy control for nonlinear spacevarying parabolic partial differential equation (PDE) system under deception attacks. Firstly, a T-S fuzzy PDE model is given to exactly describe the nonlinear spacevarying parabolic PDE system. Secondly, a fault-tolerant SD fuzzy controller via the spatial linear matrix inequalities (SLMIs) is developed based on a Lyapunov functional which is continuous at sampling times but not necessary to be positive definite in sampling intervals such that the closed-loop PDE system is exponentially stable with a mixed H2/H-infinity performance. Then, to solve the SLMIs, the fault-tolerant SD fuzzy control problem for space-varying parabolic PDE system is formulated as linear matrix inequality feasibility problem. Furthermore, the design condition of the suboptimal mixed H2/H-infinity fault-tolerant SD controller subject to deception attacks can be derived by considering the property of membership functions. Lastly, two examples are given to illustrate the design method.
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Source :
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
ISSN: 1562-2479
Year: 2022
4 . 3
JCR@2022
4 . 3 0 0
JCR@2022
ESI Discipline: ENGINEERING;
ESI HC Threshold:49
JCR Journal Grade:2
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 8
SCOPUS Cited Count: 12
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8
Affiliated Colleges: