Guaranteed cost observer-based control of uncertain time-lag systems

Guaranteed cost observer-based control of uncertain time-lag systems
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DOI:
10.1016/s0045-7906(01)00023-4
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发表时间:
2003
期刊:
Comput. Electr. Eng.
影响因子:
--
通讯作者:
M. Mahmoud;M. Zribi
M. Mahmoud;M. Zribi
中科院分区:
其他
文献类型:
--
作者:
M. Mahmoud;M. Zribi

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研究了一类不确定线性时滞系统的鲁棒观测器控制器的设计。假设不确定性是范数有界的。我们将以往关于二次代价控制的结果推广到具有未知状态和输入时滞的不确定系统的基于观测器的控制。通过引入不确定时滞系统二次稳定性的适当定义,证明了基于观测器的控制器可以通过线性矩阵不等式的解来构造。给出了一个仿真实例来说明理论进展。
This paper investigates the design of robust observer-based controllers for a class of uncertain linear time-lag systems. The uncertainties are assumed to be norm-bounded. We extend the previous results on quadratic-cost control to the case of observer-based control for uncertain systems with unknown state and input time-lags. By introducing an appropriate definition of quadratic stability for uncertain time-lag systems, it is shown that observer-based controllers can be constructed via solutions of linear-matrix inequalities. A simulation example is given to illustrate the theoretical developments.