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首页> 外文期刊>International journal of systems science >Non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems
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Non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems

机译：不确定二维离散状态滞后系统的非脆弱鲁棒最优保证成本控制

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摘要

This paper is concerned with the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model with norm-bounded uncertainties. Our attention is focused on the design of non-fragile state feedback controllers such that the resulting closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible parameter uncertainties and controller gain variations. A sufficient condition for the existence of such controllers is established under the linear matrix inequality framework. Moreover, a convex optimisation problem is proposed to select a non-fragile robust optimal guaranteed cost controller stabilising the 2-D discrete state-delayed system as well as achieving the least guaranteed cost for the resulting closed-loop system. The proposed method is compared with the previously reported criterion. Finally, illustrative examples are given to show the potential of the proposed technique.
机译：本文关注的是具有范数有界不确定性的一般模型所描述的一类不确定的二维（2-D）离散状态延迟系统的非脆弱鲁棒最优保证成本控制问题。我们的注意力集中在非脆弱状态反馈控制器的设计上，以使所得的闭环系统渐近稳定，并且闭环成本函数值不超过所有可容许参数不确定性和控制器增益变化的指定上限。在线性矩阵不等式框架下，为此类控制器的存在建立了充分条件。此外，提出了一个凸优化问题，以选择一种非脆弱鲁棒的最优保证成本控制器来稳定二维离散状态延迟系统，并为最终的闭环系统实现最低保证成本。将所提出的方法与先前报告的标准进行比较。最后，给出了说明性示例以显示所提出技术的潜力。

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