Composite disturbance-observer-based output feedback control and passive control for Markovian jump systems with multiple disturbances

Composite disturbance-observer-based output feedback control and passive control for Markovian jump systems with multiple disturbances
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多扰动马尔可夫跳跃系统的复合扰动观测器输出反馈控制与无源控制

DOI:
10.1049/iet-cta.2013.0659
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发表时间:
2014-07
影响因子:
2.6
通讯作者:
Guo, Lei
Guo, Lei
中科院分区:
计算机科学4区
文献类型:
--
作者:
Yao, Xiuming;Guo, Lei

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研究了具有非线性和多扰动的马尔可夫跳跃系统的基于扰动观测器(道布)的复合输出反馈控制和无源控制问题。多重扰动包括两类:一类是范数有界向量;另一类是具有扰动的外生系统。该问题的目的是设计一种道布输出反馈控制器,使得(I)所得到的组合系统是无源的;(Ii)上述不同类型的干扰可以分别被衰减和抑制。基于一个可用标准数值软件求解的凸优化问题的解,推导出期望干扰观测器的增益和期望输出反馈控制器的矩阵的特征。最后,通过仿真算例验证了本文提出的复合控制方案的有效性。
This study addresses the problems of the composite disturbance-observer-based (DOB) output feedback control and passive control for Markovian jump systems with non-linearity and multiple disturbances. The multiple disturbances include two kinds: one is supposed to be a norm-bounded vector; the other is described by an exogenous system with perturbations. The purpose of the problem addressed is to design a DOB output feedback controller such that (i) the resulting composite system is passive; and (ii) different types of the above disturbances can be attenuated and rejected, respectively. The characterisation of the gains of the desired disturbance observer and the matrices of the expected output feedback controller are derived based on the solution to a convex optimisation problem that can be easily solved by standard numerical software. Finally, a simulation example is employed to show the effectiveness of the composite control scheme proposed in this study.
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