Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systems

作者：Hua, Changchun^*; Liu, Guopin; Bai, Zhenhua; Guan, Xinping

来源：International Journal of Systems Science, 2016, 47(16): 3782-3791.

DOI：10.1080/00207721.2015.1122848

• Stochastic nonlinear systems
• decentralised adaptive control
• backstepping technique
• arbitrary switching

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.

• 出版日期2016
• 单位上海交通大学; 中国科学院电工研究所; 燕山大学