Open AccessRobust $ {H}_{\infty} $ output feedback finite-time control for interval type-2 fuzzy systems with actuator saturation
Author(s) -
Chuang Liu,
AUTHOR_ID,
Jinxia Wu,
Weidong Yang,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022257
Subject(s) - control theory (sociology) , interval (graph theory) , observer (physics) , mathematics , nonlinear system , saturation (graph theory) , fuzzy logic , controller (irrigation) , lyapunov function , type (biology) , fuzzy control system , actuator , computer science , control (management) , physics , combinatorics , quantum mechanics , artificial intelligence , agronomy , biology , ecology
The finite-time $ {H_\infty } $ performance of the interval type-2 Takagi-Sugeno fuzzy system (IT2 T-S) in presence of immeasurable states and input saturation is investigated. At first, an observer associated with IT2 T-S states is considered to address the problem of immeasurable states. After that, the input saturation is described based on the polyhedron model, and accordingly, a robust $ {H_\infty } $ observer-based finite-time controller is proposed via non-PDC algorithm. Then, on the basis of the Lyapunov function method and LMIs theory, the sufficient conditions for the finite time stability of fuzzy systems are derived. At last, the feasibility of the designed algorithm is verified by two examples of the nonlinear mass-spring-damping system and tunnel diode circuit system, respectively.