Feedback Controls and Optimal Gain Design of Delayed Periodic Linear Systems
Feedback Controls and Optimal Gain Design of Delayed Periodic Linear Systems
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DOI：
10.1177/107754605040947
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发表时间：
2005-02
影响因子：
2.8
通讯作者：
J. Sheng;J. I. Sun
中科院分区：
文献类型：
--
作者：
J. Sheng;J. I. Sun
本文给出了一种半离散化方法在线性时滞系统PID反馈控制稳定性分析中的应用。该方法在有限维状态空间中开发系统响应的映射。最小化的映射的特征值的最大绝对值导致最优控制增益。数值例子的时不变和周期线性系统演示的方法。讨论了线性时滞系统的跟踪控制问题。我们已经发现，半离散化方法提供了准确的稳定性边界和性能轮廓的控制增益的参数空间，并提供了一种替代的经典设计方法的反馈控制。
In this paper we present an application of a semi-discretization method to the stability analysis of PID feedback controls of linear systems with time delay. The method develops a mapping of the system response in a finite-dimensional state space. Minimization of the largest absolute value of the eigenvalues of the mapping leads to optimal control gains. Numerical examples of both time-invariant and periodic linear systems are presented to demonstrate the method. The tracking control problem of linear systems with time delay is also discussed. We have found that the semi-discretization method provides accurate stability boundaries and performance contours in the parametric space of control gains, and offers an alternative to the classic design approaches of feedback controls.