Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systems
Changchun Hua,
Guopin Liu,
Zhenhua Bai and
Xinping Guan
International Journal of Systems Science, 2016, vol. 47, issue 16, 3782-3791
Abstract:
In this paper, we focus on the problem of adaptive stabilisation for a class of interconnected uncertain switched stochastic nonlinear systems. Classical adaptive and backstepping technique are employed for control synthesis. Instead of estimating the switching parameters directly, we design the adaptive controller based on the estimations of bounds on switching time-varying parameters. A smooth function is introduced to deal with the difficulties caused by unknown interactions and tuning function approach is used to circumvent the overparameter problem. It is shown that under the action of the proposed controller all the signals of the overall closed-loop systems are globally uniformly bounded in probability under arbitrary switching. Simulation results are presented to illustrate the effectiveness of the proposed approach.
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3782-3791
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DOI: 10.1080/00207721.2015.1122848
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