基于事件触发方案的离散奇异马尔可夫跳跃系统有限时间静态输出反馈H∞控制

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematical & Computational Applications Pub Date : 2022-12-20 DOI:10.3390/mca28010001

X. Ji, Xue-Wen Yan

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引用次数: 0

摘要

研究了一类离散时间奇异马尔可夫跳跃系统的有限时间静态输出反馈H∞控制问题。在考虑网络传输延迟和事件触发方案的情况下，在静态输出反馈控制律下，建立了离散时间奇异马尔可夫跳跃系统的闭环模型，并给出了相应的充分条件，以保证该系统是正则的、因果的、有限时间有界的，并满足给定的H∞性能。基于矩阵分解算法，可以将输出反馈控制器简化为一组严格矩阵不等式的可行解。通过算例验证了该方法的有效性。

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Finite-Time Static Output-Feedback H∞ Control for Discrete-Time Singular Markov Jump Systems Based on Event-Triggered Scheme

The problem of finite-time static output feedback H∞ control for a class of discrete-time singular Markov jump systems is studied in this paper. With the consideration of network transmission delay and event-triggered schemes, a closed-loop model of a discrete-time singular Markov jump system is established under the static output feedback control law, and the corresponding sufficient condition is given to guarantee this system will be regular, causal, finite-time bounded and satisfy the given H∞ performance. Based on the matrix decomposition algorithm, the output feedback controller can be reduced to a feasible solution of a set of strict matrix inequalities. A numerical example is presented to show the effectiveness of the presented method.

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来源期刊

Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

自引率

10.50%

发文量

审稿时长

12 weeks

期刊介绍： Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.