用一般模型描述的不确定二维离散状态时滞系统的时滞相关鲁棒H∞控制

A. Singh, Akshata Tandon, Amit Dhawan
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引用次数: 0

摘要

研究一类不确定二维离散状态时滞系统的时滞相关鲁棒最优H∞控制问题。假设参数不确定性是范数有界的。建立了基于线性矩阵不等式(LMI)的时滞相关g次优状态反馈鲁棒H∞控制器存在的充分条件,该控制器不仅保证了闭环系统的渐近稳定性,而且在所有允许的参数不确定性上具有H∞噪声衰减g。在此基础上,构造了一个凸优化问题,设计了一个时滞相关状态反馈鲁棒最优H∞控制器,使闭环系统的H∞噪声衰减g最小。最后,通过一个算例验证了该方法的有效性。
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Delay-Dependent Robust H∞ Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model
This paper considers the problem of delay-dependent robust optimal H∞ control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H∞ controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the H∞ noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal H∞ controller which minimizes the H∞ noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
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