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改进的采样控制系统的稳定性准则

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利用 Lyapunov-like泛函研究采样控制系统的稳定性问题.在构建 Lyapunov-like泛函时,同时利用了采样间隔[tk,tk+1)内[tk,t)及[t,tk+1)上的系统信息,在估计泛函的导数时,运用了比Wirtinger-based不等式保守性更小的不等式技术以及自由权矩阵方法等,推导出改进的系统稳定性准则并以线性矩阵不等式的形式表示.最后,利用 MATLAB中的 LMI工具箱验证了准则的有效性和优越性.
Improved Stability Criteria for Sampling Control Systems
The problem of stability analysis for sampling control systems is studied by using Lyapunov-like functional.The constructed Lyapunov-like functional utilizes the system information on both[tk,t)and[t,tk+1)within the sampling interval[tk,tk+1).When estimating the derivative of the functional,an inequality which is less conservative than Wirtinger-based inequality and techniques like free-weight-matrix method are employed.Improved stability criteria are derived which are expressed in the form of linear matrix inequality.The LMI toolbox in MATLAB is employed to verify the effectiveness and superiority of the criteria.

Lyapunov-like functionalsampling control systemstabilitylinear matrix inequality

李佳峰、姜偕富、李敬莹、李紫薇、马雪乐

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杭州电子科技大学自动化学院,浙江 杭州 310018

Lyapunov-like泛函 采样控制系统 稳定性 线性矩阵不等式

国家自然科学基金

61174108

2024

杭州电子科技大学学报
杭州电子科技大学

杭州电子科技大学学报

影响因子:0.277
ISSN:1001-9146
年,卷(期):2024.44(3)
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