A cone complementarity linearization algorithm for static output-feedback and related problems
A cone complementarity linearization algorithm for static output-feedback and related problems
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DOI：
10.1109/9.618250
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发表时间：
1997-08-01
影响因子：
6.8
通讯作者：
AitRami, M
中科院分区：
文献类型：
--
作者：
ElGhaoui, L;Oustry, F;AitRami, M
本文介绍了用于静态和降低阶输出输出反馈综合问题的线性矩阵不等式（LMI）的算法Nth阶线性时间流动（LTI）系统（分别为u）（分别为u）（分别为n（y），n（y））独立输入（分别是输出），该算法基于问题的“锥体互补性”，并保证会产生M的稳定控制器小于或等于n -max（n（u），n（y）），与Davison和Chatterjee的通用稳定性结果匹配[7]，广泛的数值实验表明，该算法将控制器与控制器与控制器与订单小于或等于Kimura的通用稳定性结果（M小于或等于N-N（U）-N（Y）+1）。类似的算法可以应用于各种控制问题，包括鲁棒控制合成。
This paper describes a linear matrix inequality (LMI)-based algorithm for the static and reduced-order output-feedback synthesis problems of nth-order linear time-invariant (LTI) systems with n(u) (respectively, n(y)) independent inputs (respectively, outputs), The algorithm is based on a ''cone complementarity'' formulation of the problem and is guaranteed to produce a stabilizing controller of order m less than or equal to n - max(n(u), n(y)), matching a generic stabilizability result of Davison and Chatterjee [7], Extensive numerical experiments indicate that the algorithm finds a controller with order less than or equal to that predicted by Kimura's generic stabilizability result (m less than or equal to n-n(u)-n(y)+1). A similar algorithm can be applied to a variety of control problems, including robust control synthesis.