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New Robust Stability Criterion for Linear and Nonlinear Multivariable Feedback Systems

机译：线性与非线性多变量反馈系统的鲁棒稳定性判据

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摘要

Eigenvalue inclusion regions are replaced by regions which are tight and lead to sufficient and necessary stability conditions for perturbed linear multivariable systems. The approach provides an exact assessment of gain margins. When applied to nonlinear system, the inclusion regions produce a necessary and sufficient test for the circle criterion conditions to hold in the multivariable case. The resulting stability criterion is an improvement on extensions of the circle criterion.

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作者
Daniel, R. W.; Kouvaritakis, B.;
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年度 1983
页码 p.1-36
总页数 36
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Control stability; Feedback control; Linear systems; Nonlinear feedback; Nonlinear systems; Robustness (Mathematics); Eigenvalues; Perturbation; Transfer functions;

机译：控制稳定性;反馈控制;线性系统;非线性反馈;非线性系统;鲁棒性（数学）;特征值;扰动;传递函数;

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专利

1. Stability analysis of nonlinear multivariable feedback systems with the off-axis circle criterion [J] . Gabriele Schmitt Automatisierungstechnik: Methoden und Anwendungen der Steuerungs-, Regelungs- und Informationstechnik . 1999,第6期

机译：偏心圆准则的非线性多变量反馈系统的稳定性分析
2. Robust stability of nonlinear feedback systems with parameter deviations and perturbed nonlinearities [J] . Hayao Miyagi, Kimiko Kawahira, Norio Miyagi Journal of Dynamic Systems, Measurement, and Control . 1997,第1期

机译：具有参数偏差和非线性干扰的非线性反馈系统的鲁棒稳定性
3. Robust tracking controller for multivariable delayed systems with input saturation via composite nonlinear feedback [J] . Saleh Mobayen Nonlinear dynamics . 2014,第1期

机译：带有复合非线性反馈的具有输入饱和的多变量时滞系统的鲁棒跟踪控制器
4. Popov absolute stability criterion for time-varying multivariable nonlinear systems [C] . Blirnan Pierre-Alexandre, Krasnoselskii Alexander M. European Control Conference . 1999

机译：时变多变量非线性系统的Popov绝对稳定性准则
5. Studies on the robust stability of multivariable feedback systems. [D] . Khambanonda, Tanes. 1989

机译：多变量反馈系统的鲁棒稳定性研究。
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. Robust Stability of Multivariable Feedback Systems With Respect to Linear and Nonlinear Feedback Petruberations [O] . Owens D.H., Chotai A. 1981

机译：多线性反馈系统的线性和非线性反馈的鲁棒稳定性
8. Robust Stability of Multivariable Feedback Systems with Respect to Linear and Nonlinear Feedback Perturbations [R] . Owens, D. H., Chotai, A. 1981

机译：多变量反馈系统的线性和非线性反馈扰动的鲁棒稳定性

New Robust Stability Criterion for Linear and Nonlinear Multivariable Feedback Systems

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