基于线性分数不确定性部分时滞相关控制器的离散系统鲁棒保成本控制

Complex psychiatry Pub Date : 2016-11-01 DOI:10.1002/cplx.21787

P. Balasubramaniam, Nishanthi Dhanasekaran, Jarina Banu Liyakath Ali

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引用次数: 4

摘要

针对一类具有时变时滞的不确定离散系统的保性能分析问题，设计了部分时滞相关控制器。通过构造合适的Lyapunov-Krasovskii泛函(LKF)，利用Wirtinger-based不等式和凸互反引理，得到了系统在均方意义上鲁棒随机稳定的充分条件。选择合适的成本函数以保证足够的性能水平。推导出的条件用线性矩阵不等式(LMI)的形式表示，用MATLAB中的LMI工具箱可以方便地求解。此外，通过数值算例说明了采用所得结果的优点。©2016 Wiley期刊公司中文信息学报(英文版)，2016

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Robust guaranteed cost control for discrete-time systems via partially delay-dependent controller with linear fractional uncertainties

In this article, a partially delay-dependent controller is designed to analyze the guaranteed performance analysis of a class of uncertain discrete-time systems with time-varying delays. By constructing suitable Lyapunov–Krasovskii Functional (LKF), sufficient conditions are derived to ensure the system to be robustly stochastically stable in mean square sense by using Wirtinger-based inequality and convex reciprocal lemma. The proper cost function is chosen to guarantee an adequate level of performance. The derived conditions are expressed in terms of linear matrix inequalities (LMIs) which can be easily solved by LMI Toolbox in MATLAB. Further, the advantage of employing the obtained results is illustrated via numerical examples. © 2016 Wiley Periodicals, Inc. Complexity 21: 113–122, 2016

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来源期刊

Complex psychiatry

CiteScore

2.80

自引率

0.00%

发文量