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应用于具有时延和部分输入饱和的脉宽调制DC-DC变换器的马尔可夫切换系统的动态无传感器控制方法

Dynamic Sensorless Control Approach for Markovian Switching Systems Applied to PWM DC-DC Converters with Time-Delay and Partial Input Saturation.

作者信息

Zahaf Abdelmalek, Bououden Sofiane, Chadli Mohammed, Boulkaibet Ilyes, Neji Bilel, Khezami Nadhira

机构信息

Faculty of Technology Sciences, Constantine 1-Frères Mentouri University, Constantine 25017, Algeria.

Laboratory of SATIT, Department of Industrial Engineering, Abbes Laghrour University, Khenchela 40004, Algeria.

出版信息

Sensors (Basel). 2023 Aug 4;23(15):6936. doi: 10.3390/s23156936.

DOI:10.3390/s23156936
PMID:37571719
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10422246/
Abstract

This paper provides a detailed analysis of the output voltage/current tracking control of a PWM DCDC converter that has been modeled as a Markov jump system. In order to achieve that, a dynamic sensorless strategy is proposed to perform active disturbance rejection control. As a convex optimization problem, a novel reformulation of the problem is provided to compute optimal control. Accordingly, necessary less conservative conditions are established via Linear Matrix Inequalities. First, a sensorless active disturbance rejection design is proposed. Then, to carry out the control process, a robust dynamic observer-predictive controller approach is introduced. Meanwhile, the PWM DC-DC switching power converters are examined as discrete-time Markovian switching systems. Considering that the system is subject to modeling uncertainties, time delays, and load variations as external disturbances, and by taking partial input saturation into account, the Lyapunov-Krasovskii function is used to construct the required feasibility frame and less conservative stability conditions. As a result, the proposed design provides an efficient control strategy with disturbance rejection and time-delay compensation capabilities and maintains robust performance with respect to constraints. Finally, a PWM DC-DC power converter simulation study is performed in different scenarios, and the obtained results are illustrated in detail to demonstrate the effectiveness of the proposed approach.

摘要

本文对已被建模为马尔可夫跳跃系统的PWM DCDC变换器的输出电压/电流跟踪控制进行了详细分析。为实现这一目标,提出了一种动态无传感器策略来执行有源干扰抑制控制。作为一个凸优化问题,提供了一种新颖的问题重新表述方式来计算最优控制。相应地,通过线性矩阵不等式建立了必要的保守性更低的条件。首先,提出了一种无传感器有源干扰抑制设计。然后,为执行控制过程,引入了一种鲁棒动态观测器-预测控制器方法。同时,将PWM DC-DC开关功率变换器视为离散时间马尔可夫切换系统。考虑到系统受到建模不确定性、时间延迟和负载变化等外部干扰,并且考虑到部分输入饱和,利用李雅普诺夫-克拉索夫斯基函数构建所需的可行性框架和保守性更低的稳定性条件。结果,所提出的设计提供了一种具有干扰抑制和时延补偿能力的高效控制策略,并在约束条件下保持鲁棒性能。最后,在不同场景下进行了PWM DC-DC功率变换器的仿真研究,并详细说明了所得结果,以证明所提方法的有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/1e33500067b9/sensors-23-06936-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/fe334bbf4fe3/sensors-23-06936-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/3af01ff07084/sensors-23-06936-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/1e8fdba42d7d/sensors-23-06936-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/3338537e7eb9/sensors-23-06936-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/02998bb3d7ba/sensors-23-06936-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/1e33500067b9/sensors-23-06936-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/fe334bbf4fe3/sensors-23-06936-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/3af01ff07084/sensors-23-06936-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/1e8fdba42d7d/sensors-23-06936-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/3338537e7eb9/sensors-23-06936-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/02998bb3d7ba/sensors-23-06936-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c5bb/10422246/1e33500067b9/sensors-23-06936-g006.jpg

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