斯坦方程的离散时间稳定裕度

2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI) Pub Date : 2015-08-17 DOI:10.1109/MCSI.2015.29

B. Yildiz, V. Dzhafarov, S. Bhattacharyya

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引用次数: 0

摘要

研究具有结构实参数不确定性的离散时间稳定状态空间系统的鲁棒稳定性问题。利用李亚普诺夫定理和斯坦方程，从结构矩阵中导出了参数空间中稳定性超球的半径，并证明了在超球内的所有参数扰动都保持了系统矩阵的稳定性。给出了数值算例。

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Discrete Time Stability Margins from Stein's Equation

This paper deals with the robust stability of a discrete time stable state space system subject to structured real parameter uncertainty. Using Lyapunov's Theorem and Stein's equation the radius of a stability hypersphere in parameter space is derived from the structure matrices, with the property that all for parameter perturbations lying within the hypersphere stability of the system matrix is preserved. A numerical example is provided.

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2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)

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