Estimating the Delay-time for the Stability of Markovian Jump Bilinear Systems with Saturating Actuators
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摘要: 研究了带有饱和控制器的时滞Markovian跳跃双线性系统随机镇定问题. 文章先给出了采用无记忆控制的相应无时滞系统局部指数稳定的充分性条件, 然后给出了采用该无记忆控制的时滞系统保持随机稳定性的最大时滞上界估计. 数值算例验证了该方法的有效性.
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关键词:
- 饱和执行器 /
- Markovian跳跃双线性系统 /
- 随机指数稳定性
Abstract: This paper is concerned with the stochastic stabilizability problem of time-delay Markovian jump bilinear systems with saturating actuators. Sufficient conditions for local exponential stochastic stability of the delay-free systems with memoryless state feedback control are given, and an upperbound of time delay is provided such that the delayed system retains its stochastic stabilizability if the corresponding delay-free system is stochastic stabilizable. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
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