Adaptive Fuzzy Control for Nontriangular Stochastic High-Order Nonlinear Systems Subject to Asymmetric Output Constraints

In this article, an adaptive fuzzy control design strategy is presented for <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>-norm nontriangular stochastic high-order nonlinear systems with asymmetric output constraints and unknown nonlinear...

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Veröffentlicht in:IEEE transactions on cybernetics Jg. 52; H. 2; S. 1280 - 1291
Hauptverfasser: Fang, Liandi, Ding, Shihong, Park, Ju H., Ma, Li
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States IEEE 01.02.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Adaptive algorithms
Adaptive control
Adaptive fuzzy control
Adaptive systems
adding a power integrator
Algorithms
asymmetric output constraints
Asymmetry
barrier Lyapunov function (BLF)
Computer Simulation
Control algorithms
Control systems design
Control theory
Feedback control
Fuzzy control
Liapunov functions
Lyapunov methods
Neural Networks, Computer
Nonlinear Dynamics
Nonlinear systems
Nonlinearity
nontriangular stochastic nonlinear systems
Stochastic processes
Stochastic systems
ISSN:2168-2267, 2168-2275, 2168-2275
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Zusammenfassung:In this article, an adaptive fuzzy control design strategy is presented for <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>-norm nontriangular stochastic high-order nonlinear systems with asymmetric output constraints and unknown nonlinearities. To prevent the violation of the asymmetric output constraint, a novel barrier Lyapunov function (BLF) is constructed. Then, combining the constructed BLF with adding a power integrator approach, the adaptive fuzzy control algorithm is developed by the backstepping technique. Simultaneously, the rigorous proof displays that the designed controller can ensure that all variables of the closed-loop system are bounded in probability with the achievement of the output constraint. Eventually, the theoretical result is further demonstrated via the simulation results.
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ISSN:2168-2267
2168-2275
2168-2275
DOI:10.1109/TCYB.2020.3000920