This paper presents a stabilization control for positive, Takagi-Sugeno fuzzy systems subject to Markov jump parameters. In the continuous-time formulation, the approach guarantees mean-square stability with constraints on the control—the main condition hinges upon linear matrix inequalities. The proposed method’s usefulness is illustrated by a practical-oriented example, which was designed to control the output voltage of a DC-DC boost converter subject to both voltage and load variations driven by a Markov chain.

中文翻译：

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带马尔可夫跳跃的正 Takagi-Sugeno 模糊系统的约束随机控制及其在 DC-DC 升压转换器中的应用

本文提出了一种受马尔可夫跳跃参数影响的正的 Takagi-Sugeno 模糊系统的稳定控制。在连续时间公式中，该方法通过对控制的约束来保证均方稳定性——主要条件取决于线性矩阵不等式。所提出方法的有用性通过一个面向实际的示例来说明，该示例旨在控制受马尔可夫链驱动的电压和负载变化影响的 DC-DC 升压转换器的输出电压。