A descriptor system approach to H∞ control of linear time-delay systems
A descriptor system approach to H∞ control of linear time-delay systems
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DOI：
10.1109/9.983353
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发表时间：
2002-02-01
影响因子：
6.8
通讯作者：
Shaked, U
中科院分区：
文献类型：
--
作者：
Fridman, E;Shaked, U
针对连续时间、线性、时滞和中立型系统，研究了输出反馈H_∞控制问题。一个延迟相关的解决方案，得到的线性矩阵不等式（LMIs），通过使用一个描述符模型变换的系统，并通过应用Park不等式的边界交叉项。对于具有多面体参数不确定性的系统，导出了状态反馈解。然后通过求解两个线性矩阵不等式得到输出反馈控制器，其中一个线性矩阵不等式与描述时滞新息滤波器相关联。“考虑了瞬时和延迟测量的情况。数值例子说明了新理论的有效性。
The output-feedback H-infinity control problem is solved for continuous-time, linear, retarded and neutral type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter." The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory.