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Robust Dissipative Filtering for Linear Time-Delay Systems with Markovian Jumping Parameters

机译:具有Markovian跳跃参数的线性时滞系统的鲁棒耗散过滤

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This paper deals with the robust dissi-pative filtering for a class of linear time-delay systems with Markovian jumping parameters. The system under study involves time delays, jumping parameters and uncertainties. The transition of the jumping parame- ters in systems is governed by a finite-state Markov process. The objective is to design linear memoryless filters such that for all uncertainties, the resulting augmented system is robust stochastically stable independent of delays and satisfies the proposed dissipative performance. Based on stability theory in stochastic differential equations, a sufficient condition on the existence of robust dissipative filters is derived. Robust dissipative filters are designed in terms of a set of coupled linear matrix inequalities.
机译:本文涉及具有Markovian跳跃参数的一类线性时延系统的强大熟练分析过滤。正在研究的系统涉及时间延迟,跳跃参数和不确定性。系统中跳跃的比例的转换是由有限状态的马尔可夫过程管理的。目的是设计线性记忆过滤器,使得对于所有不确定性,所产生的增强系统具有独立于延迟,满足所提出的耗散性能的坚固性随机稳定。基于随机微分方程中的稳定性理论,推导出鲁棒耗散过滤器存在的充分条件。鲁棒耗散过滤器根据一组耦合的线性矩阵不等式设计。

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