Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays
Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays
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DOI：
10.1007/s10957-008-9411-5
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发表时间：
2008-04
影响因子：
1.9
通讯作者：
Z. Zuo;Y. Wang
中科院分区：
文献类型：
--
作者：
Z. Zuo;Y. Wang
本文考虑了一类具有状态时滞和输入时滞的不确定离散时间系统的保证成本控制（GCC）问题。针对状态反馈控制器的存在，提出了一种基于 LMI 的新方法，该方法不仅保证了闭环系统的渐近稳定性，而且还保证了所有可能的参数不确定性的足够性能范围。给出了凸优化算法来设计状态反馈控制器，该控制器最小化了二次性能指标的界限。如数值示例所示，结果在计算中表现出一些有利的特征。
The problem of the guaranteed cost control (GCC) for a class of uncertain discrete-time systems with both state and input delays is considered in this paper. A novel LMI-based approach is proposed for the existence of a state feedback controller which guarantees not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the possible parameter uncertainties. A convex optimization algorithm is given to design the state feedback controller which minimizes a bound on a quadratic performance index. The result exhibits some favorable features in computation as shown by a numerical example.