Predictive Control Design for Discrete Switched Affine Systems Subject to a Constant Input Delay

IF 2.4 Q2 AUTOMATION & CONTROL SYSTEMS
Gerson Portilla;Carolina Albea;Alexandre Seuret
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引用次数: 0

Abstract

This contribution presents the stabilization of switched affine systems subject to an input delay in the switching signal. The proposed approach extends an existing control Lyapunov function method, which guarantees the stabilization to an a priori defined limit cycle in the case of a constant input delay. The main contribution relies on the definition of an augmented system, which includes the past values of the control input and on predictor, which is considered in the min-switching state-feedback control. As a result, a stabilization condition expressed as a delay-independent LMI ensures that the trajectories of the closed-loop system converge to a limit cycle. A numerical application validates the obtained results and highlights some perspectives.
具有恒定输入延迟的离散切换仿射系统的预测控制设计
这一贡献提出了受开关信号输入延迟影响的开关仿射系统的稳定性。该方法扩展了现有的控制Lyapunov函数方法,保证了在恒定输入延迟情况下对先验定义极限环的镇定性。其主要贡献依赖于增广系统的定义,其中包括最小开关状态反馈控制中考虑的控制输入和预测器的过去值。因此,用时滞无关LMI表示的稳定条件保证了闭环系统的轨迹收敛于一个极限环。数值应用验证了所得结果,并强调了一些观点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
IEEE Control Systems Letters
IEEE Control Systems Letters Mathematics-Control and Optimization
CiteScore
4.40
自引率
13.30%
发文量
471
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