H∞ and positive-real control for linear neutral delay systems
H∞ and positive-real control for linear neutral delay systems
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DOI：
10.1109/9.940943
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发表时间：
2001-08
期刊：
影响因子：
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通讯作者：
Shengyuan Xu;J. Lam;Chengwu Yang
中科院分区：
文献类型：
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作者：
Shengyuan Xu;J. Lam;Chengwu Yang
本文讨论了线性中立型时滞系统的H/sub /spl∞//和正实控制问题。H/sub /spl infin//控制的目的是设计一种无记忆状态反馈控制器，使中性延迟系统稳定，并使从扰动到被控输出的闭环传递函数的H/sub /spl infin//范数降低到规定的水平。而正实控制的目的是设计一种无记忆状态反馈控制器，使闭环系统稳定，闭环传递函数扩展为严格正实。用线性矩阵不等式（LMI）给出了期望控制器存在的充分条件。当LMI可行时，可以通过凸优化构造期望的无记忆状态反馈控制器。
This note is concerned with the H/sub /spl infin// and positive-real control problems for linear neutral delay systems. The purpose of H/sub /spl infin// control is the design of a memoryless state feedback controller which stabilizes the neutral delay system and reduces the H/sub /spl infin// norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribed level, while the purpose of positive-real control is to design a memoryless state feedback controller such that the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of the desired controllers are given in terms of a linear matrix inequality (LMI). When this LMI is feasible, the expected memoryless state feedback controllers can be easily constructed via convex optimization.