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首页> 外文期刊>International journal of systems,control and communications >Robust H_∞ control for uncertain 2D state-delayed systems in the second FM model
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Robust H_∞ control for uncertain 2D state-delayed systems in the second FM model

机译：第二FM模型中不确定2D状态延迟系统的鲁棒H_∞控制

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摘要

This paper investigates the problem of robust H_(∞) control for two-dimensional (2D) discrete state delay systems described by the Fornasini-Marchesini (FM) second model. The parameter uncertainties are supposed to be norm-bounded. Our attention is focused on designing H_(∞) state feedback controllers guaranteeing the asymptotic stability and H_(∞) performance of the corresponding closed-loop system. A sufficient condition for H_(∞) disturbance attenuation performance for the nominal 2D discrete state delay system is first obtained. Next, a stabilising state feedback controller is designed such that the resulting closed-loop system is asymptotically stable and achieves a prescribed H_(∞) disturbance attenuation level. Furthermore, the resulting criteria are extended to robust H_(∞) control of the uncertain 2D state-delay system. Two examples are given to demonstrate the advantages of the proposed methods.
机译：本文研究了由Fornasini-Marchesini（FM）第二模型描述的二维（2D）离散状态延迟系统的鲁棒H_（∞）控制问题。参数不确定度应该是有界的。我们的注意力集中在设计H_（∞）状态反馈控制器上，以确保相应闭环系统的渐近稳定性和H_（∞）性能。首先获得标称二维离散状态延迟系统的H_（∞）干扰衰减性能的充分条件。接下来，设计稳定状态反馈控制器，以使所得的闭环系统渐近稳定，并达到规定的H_（∞）干扰衰减水平。此外，所得标准扩展到不确定2D状态延迟系统的鲁棒H_（∞）控制。给出两个例子来说明所提出方法的优点。

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