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首页> 外文期刊>Applied mathematics and computation >Robust finite-time H-infinity control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation
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Robust finite-time H-infinity control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation

机译：具有时变时滞和执行器饱和的离散时间奇异马尔可夫跳跃系统的鲁棒有限时间H-∞控制

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摘要

In this paper, the problem of robust finite-time H-infinity control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation is studied. First, sufficient conditions that guarantee the systems singular stochastic finite-time boundedness are derived via constructing a delay-dependent Lyapunov-Krasonskii functional and linear matrix inequalities (LMI) approaches. Then the results are extended to singular stochastic finite-time H-infinity boundedness. Furthermore, with these conditions and convex optimization arithmetic, the design method of H-infinity controller and conditions that ensure the H-infinity disturbance attenuation level are obtained. Finally, some numerical examples are presented to illustrate the validity and efficiency of the proposed methods. (C) 2016 Elsevier Inc. All rights reserved.
机译：本文研究了具有时变时滞和执行器饱和的离散时间奇异马尔可夫跳跃系统的鲁棒有限时间H-∞控制问题。首先，通过构造依赖于延迟的Lyapunov-Krasonskii泛函和线性矩阵不等式（LMI）方法，导出了保证系统奇异随机有限时间有界性的充分条件。然后将结果扩展到奇异随机有限时间H无限有界。此外，利用这些条件和凸优化算法，获得了H-∞控制器的设计方法和确保H-∞干扰衰减水平的条件。最后，通过数值算例说明了所提方法的有效性和有效性。 （C）2016 Elsevier Inc.保留所有权利。

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