Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems

This paper aims to relax the results in Xie and Tian (2009) from the following two aspects: completely removing the power order restriction and largely relaxing the growth conditions of nonlinear functions. By using the backstepping design method and homogeneous domination technique, this paper inve...

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Bibliographic Details
Published in:Automatica (Oxford) 2012-08, Vol.48 (8), p.1667-1675
Main Authors: Li, Wuquan, Liu, Xiaohua, Zhang, Siying
Format: Article
Language:English
Subjects:
Adaptative systems
Adaptive control systems
Adaptive state-feedback stabilization
Adaptive systems
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Dynamical systems
Exact sciences and technology
Growth condition
Nonlinear dynamics
Nonlinearity
Parametrization
Power order restriction
Stabilization
Stochastic high-order nonlinear systems
Stochasticity
System theory
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Summary:This paper aims to relax the results in Xie and Tian (2009) from the following two aspects: completely removing the power order restriction and largely relaxing the growth conditions of nonlinear functions. By using the backstepping design method and homogeneous domination technique, this paper investigates the problem of adaptive state-feedback stabilization for a class of stochastic high-order nonlinear systems with nonlinear parameterization. The closed-loop system can be proved to be globally stable in probability and the states can be regulated to the origin almost surely. The efficiency of the adaptive state-feedback controller is demonstrated by a simulation example.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2012.05.035