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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2021 Vol.22 No.10 P.1402-1412
Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation
Abstract: This study analyzes the problem of robust stability of fractional-order delay systems of neutral type under actuator saturation. A Lyapunov–Krasovskii (LK) function is constructed and conditions of the asymptotic robust stability of such systems are given, which are formulated by linear matrix inequalities (LMIs), using the Lyapunov direct method. An algorithm is introduced to compute the gain of the state feedback controller for extending the domain of attraction. The theoretical results are validated using some numerical examples.
Key words: Fractional-order system, Stability, Neutral delay, Robust, Saturation
1沙鲁德科技大学电气与机器人工程系，伊朗沙德鲁市，36199-95161
2波尔图理工学院工程研究所，葡萄牙波尔图市，4249-015
摘要：分析了执行器饱和条件下中立型分数阶时滞系统的鲁棒稳定性问题。构建了一个Lyapunov-Krasovskii（LK）函数，并给出此类系统的渐近鲁棒稳定性条件，这些条件使用Lyapunov直接方法构造的线性矩阵不等式（LMIs）表示。引入一种算法计算状态反馈控制器的增益以扩展吸引域。数值示例验证了理论结果。
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DOI:
10.1631/FITEE.2000438
CLC number:
O231
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On-line Access:
2024-08-27
Received:
2023-10-17
Revision Accepted:
2024-05-08
Crosschecked:
2021-08-06