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Non-fragile observer-based robust control for uncertain systems via aperiodically intermittent control
Information Sciences ( IF 8.1 ) Pub Date : 2021-05-26 , DOI: 10.1016/j.ins.2021.05.046
Ying Yang , Yong He

This paper focuses on the non-fragile robust stabilization problem for uncertain systems with structural uncertainties via observer-based state-feedback aperiodically intermittent control. First, based on the characteristics of intermittent control, a general representation of the observer coupled with the feedback intermittent controller with variable control periods and control widths is presented. Then, by constructing a piecewise Lyapunov function, an asymptotic stability criterion is established to show what the control gains, the control periods and the control widths for the control scheme are required. After transforming the conditions related to control gains in the stability criterion into linear matrix inequalities via the singular value decomposition technique, two stabilization design criteria are developed for the gains with additive and multiplicative uncertainties, respectively. Furthermore, a simple design procedure is summarized based on the design criteria to show how to calculate the control gains and how to choose the corresponding allowable control periods and control widths. Finally, the effectiveness of the proposed method is demonstrated by a numerical example.



中文翻译:

基于非脆弱观测器的非周期性间歇控制的不确定系统鲁棒控制

本文通过基于观测器的状态反馈非周期性间歇控制,重点研究具有结构不确定性的不确定系统的非脆弱鲁棒镇定问题。首先,基于间歇控制的特点,给出了观测器与具有可变控制周期和控制宽度的反馈间歇控制器耦合的一般表示。然后,通过构造分段李雅普诺夫函数,建立渐近稳定性判据来显示控制方案所需的控制增益、控制周期和控制宽度。通过奇异值分解技术将稳定性判据中与控制增益相关的条件转化为线性矩阵不等式后,分别为具有加性和乘性不确定性的增益制定了两个稳定设计标准。此外,基于设计标准总结了一个简单的设计程序,以展示如何计算控制增益以及如何选择相应的允许控制周期和控制宽度。最后,通过数值例子证明了所提出方法的有效性。

更新日期:2021-06-11
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