Stabilization of Approximately Feedback Linearizable Systems Using Singular Perturbation

Jun-Won Son; Jong-Tae Lim

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Stabilization of Approximately Feedback Linearizable Systems Using Singular Perturbation

机译：利用奇异摄动稳定近似反馈线性化系统

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We consider a stabilization problem of approximately feedback linearizable systems. We introduce a perturbation parameter by applying high-gain feedback and use both the feedback linearization method and the singular perturbation method for the controller design. Through this, we can overcome the rigorous conditions of the feedback linearization method and can reduce the dimension of the slow model of the singularly perturbed system.

机译：我们考虑近似反馈线性化系统的稳定问题。我们通过应用高增益反馈来引入扰动参数，并将反馈线性化方法和奇异摄动方法都用于控制器设计。这样，我们可以克服反馈线性化方法的严格条件，并可以减小奇异摄动系统慢模型的维数。

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《IEEE Transactions on Automatic Control》 |2008年第6期|p.1499-1503|共5页
作者
Jun-Won Son; Jong-Tae Lim;
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正文语种 eng
中图分类自动化系统;
关键词
approximation theory; control system synthesis; feedback; linearisation techniques; singularly perturbed systems; stability; approximate feedback linearizable control system design; singular perturbation parameter; stabilization; Feedback linearization; Lyapunov m;

机译：逼近理论;控制系统综合;反馈;线性化技术;奇摄动系统;稳定性;近似反馈线性化控制系统设计;奇摄动参数;稳定化;反馈线性化;Lyapunov m;

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1. Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems [J] . Marco Tulio Angulo, Leonid Fridman, Jaime A. Moreno Automatica . 2013,第9期

机译：干扰反馈线性化非线性系统的输出反馈有限时间稳定
2. Singularity for static-state feedback linearizable bilinear systems [J] . Chabour R., Ferfera A. IEEE Transactions on Automatic Control . 1999,第8期

机译：静态反馈线性化双线性系统的奇异性
3. Singularity for static-state feedback linearizable bilinear systems [J] . Chabour R., Ferfera A. IEEE Transactions on Automatic Control . 1999,第8期

机译：静态反馈线性化双线性系统的奇异性
4. Robust stabilization of approximately feedback linearizable time-varying systems with uncertainties using singular perturbation [C] . Cho, Young-Jun, Kang, Kyung-In, Koo, Min-Sung, International Conference on Control, Automation and Systems;ICCAS 2012 . 2012

机译：具有奇异摄动的具有不确定性的近似反馈线性化时变系统的鲁棒镇定
5. Geometry of Cascade Feedback Linearizable Control Systems [D] . Klotz, Taylor J. 2020

机译：级联反馈的几何形状可直接控制系统
6. Vocal responses to unanticipated perturbations in voice loudness feedback: An automatic mechanism for stabilizing voice amplitude [O] . Jay J. Bauer, Jay Mittal, Charles R. Larson, -1

机译：语音响度反馈中对意外干扰的人声响应：稳定语音幅度的自动机制
7. REDUCED-ORDER MODELS FOR FEEDBACK STABILIZATION OF LINEAR SYSTEMS WITH A SINGULAR PERTURBATION MODEL [O] . Liyu Cao, Howard M. Schwartz 2004

机译：具有奇异摄动模型的线性系统反馈镇定的降阶模型
8. High Gain Feedback Systems as Singular-Perturbation Problems. [R] . o'malley, r. e. jr 1977

机译：作为奇异摄动问题的高增益反馈系统。

Stabilization of Approximately Feedback Linearizable Systems Using Singular Perturbation

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