基于采样区间分割的线性系统稳定准则
Stability Criteria of Linear Systems Based on Sampled-Interval Fragmentation Approach
针对具有网络时延的线性采样控制系统的稳定性问题, 基于分割后的采样区间和状态信息, 建立了新的双边采样区间依赖闭环Lyapunov泛函. 然后, 在Lyapunov泛函导数中引入分割后的系统状态方程, 并应用2阶Bessel-Legendre 不等式和自由矩阵不等式估计泛函导数中的积分项, 导出了低保守性的采样控制系统稳定性准则. 最后, 通过3个例子验证了提出方法的有效性和优越性.
The paper aims at the stability of linear sampled-data control systems with network-induced delays. A new two-side sampled-interval-dependent looped Lyapunov functional is established based on the sampled-interval and system state of partition. Then, By introducing system state equation and using 2-order Bessel-Legendre inequality and free-matrix-based inequality to estimate single integral term in the derivative of Lyapunov functional, some less conservative stability criterion are derived for sampled-data control systems. Finally, two examples are provided to verify the validity and superiority of the proposed methods.
采样控制系统 / 通信时滞 / 稳定性 / 采样区间分割 / Lyapunov泛函. {{custom_keyword}} /
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