This paper investigates the issue of observer-based control for singular Markov jump systems (SMJSs) with time-varying delay, actuator saturation and time-varying transition rates. Firstly, the state feedback controller is proposed, which based on the state observer. The time-varying transition rates are quantized by the logarithmic quantizer. In addition, the appropriate Lyapunov function is considered to ensure that the original system and the error system are singular stochastic admissible (SSA) with mixed H_∞ and passivity performance. Finally, four examples are provided to expound the consistency of the technique.

中文翻译：

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具有观测器饱和度和时变过渡率的奇异马尔可夫跳跃系统的基于观测器的控制

本文研究了具有时变时滞，执行器饱和和时变跃迁速率的奇异马尔可夫跳跃系统（SMJS）的基于观测器的控制问题。首先，提出了一种基于状态观测器的状态反馈控制器。随时间变化的转换率由对数量化器量化。此外，适当的Lyapunov函数被考虑，以确保原系统和误差系统的是具有混合的奇异随机受理（SSA）ħ _∞和被动性能。最后，提供了四个示例来说明该技术的一致性。