Finite- Time Stabilization of Nontriangular Systems with Full State Constraints
Sui,Shuai1; Chen,C. L.Philip1,2; Feng,Shuang1,3
Source Publication2019 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2019
AbstractThe problem of finite-time stabilization for a class of nontriangular nonlinear system is studied based on fuzzy logic systems. By applying the sign functions in the control functions, a power form of the error is improved to ensure a continuous stabilizer and a continuous differentiable Lyapunov function, thereby ensuring finite time stability. Then, by introducing the global Barrier Lyapunov functions and finite time stability theory, a novel approach is proposed to construct a reliable controller when all the state variables are constrained. The results show that the system output can well follow the specified reference signal in finite time, and all signals in the system are guaranteed within fixed limits. One simulation example demonstrates the feasibility of the approach developed in this paper.
Keywordbackstepping Barrier Lyapunov functions finite-time stability full state constraints nontriangular systems
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Document TypeConference paper
CollectionUniversity of Macau
Affiliation1.Faculty of Science and Technology,University of Macau,Macao
2.School of Computer Science and Engineering,South China University of Technology,Guangzhou,China
3.School of Applied Mathematics,Beijing Normal University,Zhuhai, Zhuhai,China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Sui,Shuai,Chen,C. L.Philip,Feng,Shuang. Finite- Time Stabilization of Nontriangular Systems with Full State Constraints[C],2019.
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