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首页> 外文期刊>IEEE Transactions on Automatic Control >H∞ memoryless control with an α-stabilityconstraint for time-delay systems: an LMI approach
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H∞ memoryless control with an α-stabilityconstraint for time-delay systems: an LMI approach

机译:具有α-稳定性约束的时滞系统的H∞无记忆控制:LMI方法

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摘要

Focuses on the design of H∞ memoryless state feedback controllers satisfying some α-stability constraints on the closed-loop poles for a class of linear systems with delayed state, subject to disturbance inputs. A sufficient condition for feasibility is derived in terms of linear matrix inequalities. Furthermore, we also consider a particular optimization problem: the maximal bound allowed on time-delay such that the prescribed level on disturbance attenuation and the α-stability constraints are still preserved. This problem is converted into a linear matrix inequality (LMI) optimization problem and we give a suboptimal bound on the delay
机译:专注于满足一类具有滞后状态的线性系统,受扰动输入的约束,该闭环极点上满足一些α稳定性约束的H∞无记忆状态反馈控制器的设计。根据线性矩阵不等式得出了可行性的充分条件。此外,我们还考虑了一个特殊的优化问题:延时允许的最大界限,使得干扰衰减和α稳定性约束的规定水平仍然得以保留。该问题被转换为线性矩阵不等式(LMI)优化问题,并且我们在延迟上给出了次优边界

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