Continuous finite-time state feedback stabilizers for some nonlinear stochastic systems
Data(s) |
25/07/2015
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Resumo |
This paper is concerned with the problem of finite-time stabilization for some nonlinear stochastic systems. Based on the stochastic Lyapunov theorem on finite-time stability that has been established by the authors in the paper, it is proven that Euler-type stochastic nonlinear systems can be finite-time stabilized via a family of continuous feedback controllers. Using the technique of adding a power integrator, a continuous, global state feedback controller is constructed to stabilize in finite time a large class of two-dimensional lower-triangular stochastic nonlinear systems. Also, for a class of three-dimensional lower-triangular stochastic nonlinear systems, a recursive design scheme of finite-time stabilization is given by developing the technique of adding a power integrator and constructing a continuous feedback controller. Finally, a simulation example is given to illustrate the theoretical results. © 2014 John Wiley & Sons, Ltd. |
Identificador | |
Idioma(s) |
eng |
Publicador |
Wiley-Blackwell |
Relação |
http://dro.deakin.edu.au/eserv/DU:30070563/khoo-continuous-2015.pdf http://www.dx.doi.org/10.1002/rnc.3161 |
Direitos |
2015, Wiley-Blackwell |
Palavras-Chave | #Adding a power integrator #Finite-time stabilization #State feedback controllers #Stochastic Lyapunov stability #Stochastic nonlinear systems |
Tipo |
Journal Article |