Technical Communique: Static Output Feedback Stabilization: An ILMI Approach

Technical Communique: Static Output Feedback Stabilization: An ILMI Approach
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DOI:
10.1016/s0005-1098(98)80021-6
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发表时间:
1998-12
期刊:
Autom.
影响因子:
--
通讯作者:
Yong-Yan Cao;J. Lam;You-Xiam Sun
Yong-Yan Cao;J. Lam;You-Xiam Sun
中科院分区:
其他
文献类型:
--
作者:
Yong-Yan Cao;J. Lam;You-Xiam Sun

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本文利用线性矩阵不等式技术研究了静态输出反馈镇定问题。以矩阵不等式的形式给出了线性定常系统静态输出反馈镇定的一个充要条件。研究了该结果在H∞控制中的推广。提出了一种计算反馈增益的迭代线性矩阵不等式(ILMI)算法。数值算例验证了算法的有效性和收敛性。
In this note, the static output feedback stabilization problem is addressed using the linear matrix inequality technique. A necessary and sufficient condition for static output feedback stabilizability for linear time-invariant systems is derived in the form of a matrix inequality. The extension of the result to H∞control is studied. An iterative LMI (ILMI) algorithm is proposed to compute the feedback gain. Numerical examples are employed to demonstrate the effectiveness and the convergence of the algorithm.