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首页> 外文期刊>Optimal Control Applications and Methods >Robust resilient H_∞ control for stochastic systems with Markovian jump parameters under partially known transition probabilities
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Robust resilient H_∞ control for stochastic systems with Markovian jump parameters under partially known transition probabilities

机译：具有部分已知转移概率的马尔可夫跳跃参数的随机系统的鲁棒H_∞鲁棒控制。

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摘要

In this paper, the robust resilient H_∞ control problem for a class of stochastic systems with partially known transition probabilities is investigated. The system under consideration finds extensive applications because of the uncertainties involved in the system matrices and the general assumption upon the transition probabilities. Attention is focused upon the design of a robust resilient H_∞ state feedback controller, which guarantees the stochastic stability of the closed-loop system and a prescribed H_∞ disturbance attenuation level for all admissible uncertainties. Sufficient criteria ensuring the stochastic stability and stabilization of the underlying systems are presented via LMIs formulation. A numerical example is provided to demonstrate the effectiveness of all the results.
机译：本文研究了一类具有部分已知转移概率的随机系统的鲁棒弹性H_∞控制问题。所考虑的系统由于系统矩阵中涉及的不确定性以及对转移概率的一般假设而得到广泛的应用。注意力集中在鲁棒的弹性H_∞状态反馈控制器的设计上，该控制器可确保闭环系统的随机稳定性和针对所有允许的不确定性规定的H_∞干扰衰减水平。通过LMI公式提出了确保底层系统的随机稳定性和稳定性的充分标准。提供了一个数值示例来说明所有结果的有效性。

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