Parametric State Feedback Control with Response Insensitivity
Parametric State Feedback Control with Response Insensitivity
复制标题
响应不敏感的参数状态反馈控制
DOI：
10.23919/acc.1986.4789073
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
J. O'Reilly
中科院分区：
文献类型：
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作者：
T. Owens;J. O'Reilly
最近对一类线性反馈控制器进行了参数化，将一组期望的自共轭特征值赋给闭环系统，用来描述和解决一个基本的响应不敏感问题。建立了状态反馈控制可以在多大程度上用于使闭环系统响应对开环状态空间模型中可能许多不一定很小的参数变化不敏感。提出了一种非保守的序贯设计方法，使尽可能多的闭环系统特征模式完全不敏感，同时保持闭环系统最大特征值数的任意配置。主要结果是一类由一组自由参数显式指定的减敏固定增益状态反馈控制器，可以选择这些参数来满足额外的设计要求。
A recent parameterization of the class of linear feedback controllers which assign a set of desired self-conjugate eigenvalues to the closed-loop system is used to formulate and solve a fundamental response insensitivity problem. It is established to what extent state feedback control can be used to render the closed-loop system response insensitive to possibly many not necessarily small parameter variations in the open-loop state-space model. A nonconservative sequential design procedure is developed for making as many of the closed-loop system eigenmodes as possible totally insensitive while retaining arbitrary assignment of the maximum number of closed-loop eigenvalues. The main result is a class of desensitizing fixed gain state feedback controllers explicitly specified by a set of free parameters which may be chosen to satisfy additional design requirements.