Real robustness bounds using generalized stability multipliers

Sparks AG.; Bernstein DS.

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Real robustness bounds using generalized stability multipliers

机译：使用广义稳定性乘数的实数鲁棒性边界

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Sufficient conditions for robust stability using generalized stability multipliers are presented for systems with sector- and norm-bounded, block-structured real uncertainty. Two parametrizations of the multiplier are considered and the robustness criteria are written as linear matrix inequalities. Upper bounds for the peak structured singular value over frequency, which eliminate frequency gridding, are then derived. Numerical examples provide a comparison of the peak upper bounds obtained using the two multiplier parametrizations. These examples show that the conservatism of the peak upper bounds is reduced by increasing the dynamic order of the multiplier. [References: 11]

机译：针对具有扇区和范数界，块结构的实际不确定性的系统，提出了使用广义稳定性乘数获得鲁棒稳定性的充分条件。考虑乘数的两个参数，并将稳健性标准写为线性矩阵不等式。然后推导消除频率网格化的整个频率上的峰值结构奇异值的上限。数值示例提供了使用两个乘子参数化获得的峰上限的比较。这些示例表明，通过增加乘数的动态顺序，可以降低峰值上限的保守性。 [参考：11]

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《International Journal of Control》 |1998年第4期|共14页
作者
Sparks AG.; Bernstein DS.;
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正文语种 eng
中图分类控制论、信息论（数学理论）;自动化技术、计算机技术;
关键词
Uncertainty;

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专利

1. Real robustness bounds using generalized stability multipliers [J] . Sparks AG., Bernstein DS. International Journal of Control . 1998,第4期

机译：使用广义稳定性乘数的实数鲁棒性边界
2. A new class of generalized multiobjective games in bounded rationality with fuzzy mappings: Structural (lambda, epsilon)-stability and (lambda, epsilon)-robustness to epsilon-equilibria [J] . Journal of Computational and Applied Mathematics . 2020,第期

机译：具有模糊映射的有界合理性的新一类广义性多目标游戏：结构（Lambda，Epsilon） - 稳定性和（Lambda，epsilon） - epsilon-equilibria
3. Robust stability of multivariable systems with both real parametric and norm bounded uncertainties [J] . Zhou K., Gu G. IEEE Transactions on Automatic Control . 1992,第10期

机译：具有实参和范数有界不确定性的多变量系统的鲁棒稳定性
4. Real/complex Multivariable Stability Margin Computation Via Generalized Popov Multiplier - LMI Approach [C] . Ly, J.H., Safonov, . 2001

机译：通过广义Popov乘数进行实数/复数多变量稳定性裕量计算-LMI方法
5. Stability analysis and robust control synthesis with generalized multipliers. [D] . Meng, Hsing-Han. 2002

机译：具有广义乘数的稳定性分析和鲁棒控制综合。
6. Bounded efficient and multiply robust estimation of average treatment effects using instrumental variables [O] . Linbo Wang, Eric Tchetgen Tchetgen -1

机译：使用工具变量对平均治疗效果进行有界有效和多重稳健的估计
7. Parametric robust H 2 control design with generalized multipliers via LMI synthesis [O] . Jonathan P. How 2012

机译：参数化鲁棒H 2控制设计，通过LmI合成的广义乘法器
8. Optimal Projection Equations with Petersen-Hollot Bounds: Robust Stability and Performance via Fixed-Order Dynamic Compensation for Systems with Structured Real-Valued Parameter Uncertainty [R] . Bernstein, D. S., Haddad, W. M. 1988

机译：具有petersen-Hollot界的最优投影方程：具有结构实值参数不确定性的系统的固定阶动态补偿的鲁棒稳定性和性能

Real robustness bounds using generalized stability multipliers

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