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高阶不确定非线性系统切换自适应镇定

满永超,刘允刚   

  1. 山东大学控制科学与工程学院, 济南 250061
  • 收稿日期:2013-05-14 出版日期:2013-06-25 发布日期:2013-08-30

满永超,刘允刚. 高阶不确定非线性系统切换自适应镇定[J]. 系统科学与数学, 2013, 33(6): 661-670.

MAN Yongchao , LIU Yungang. ADAPTIVE STABILIZATION VIA SWITCHING FOR HIGH-ORDER UNCERTAIN NONLINEAR SYSTEMS[J]. Journal of Systems Science and Mathematical Sciences, 2013, 33(6): 661-670.

ADAPTIVE STABILIZATION VIA SWITCHING FOR HIGH-ORDER UNCERTAIN NONLINEAR SYSTEMS

MAN Yongchao, LIU Yungang   

  1. School of Control Science and Engineering, Shandong University, Ji’nan 250061
  • Received:2013-05-14 Online:2013-06-25 Published:2013-08-30
研究了一类控制系数未知高阶不确定非线性系统的全局自适应稳定控制设计问题. 值得指出的是,更高的系统幂次和未知的控制系数显示系统容许更强的非线性和更严重的不确定性/未知性, 因而所研究的系统更具一般性.这里不是采用传统 自适应技术,而是通过灵活运用基于切换的自适应技术和增加幂积分方法, 给出了该控制
问题的结构简单且易于实现的新型切换自适应控制器. 所设计控制器保证闭环系统状态全局有界且最终趋于零.
This paper considers the global adaptive stabilizing control design for a class of high-order uncertain nonlinear systems with unknown control coefficients. Notably, the systems under investigation are more general than those in the existing literature, since the higher system orders and the unknown control
coefficients make the systems allow stronger nonlinearities and more serious uncertainties/unknowns. By skillfully applying the method of adaptive control via switching (rather than the traditional ones), and adding a power integrator, this paper presents a novel adaptive controller via switching, which is simple and easy to implement. The involved controller guarantees that all states of the closed-loop system are globally bounded and furthermore ultimately converge to zero.

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