On stability of linear dynamic systems with hysteresis feedback

Ruderman Michael

首页> 外文期刊>Mathematical modelling of natural phenomena >On stability of linear dynamic systems with hysteresis feedback

【24h】

On stability of linear dynamic systems with hysteresis feedback

机译：滞后反馈线性动态系统的稳定性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure's problem) can be proved by the well-known circle criterion, the multivalued rate-independent hysteresis poses significant challenges for feedback systems, especially for proof of convergence to an equilibrium state correspondingly set. The dissipative behavior of clockwise input-output hysteresis is considered with two boundary cases of energy losses at reversal cycles. For upper boundary cases of maximal (parallelogram shape) hysteresis loop, an equivalent transformation of the closed-loop system is provided. This allows for the application of the circle criterion of absolute stability. Invariant sets as a consequence of hysteresis are discussed. Several numerical examples are demonstrated, including a feedback-controlled double-mass harmonic oscillator with hysteresis and one stable and one unstable poles configuration.

机译：None

著录项

来源
《Mathematical modelling of natural phenomena》 |2020年第1期|共12页
作者
Ruderman Michael;
展开▼
作者单位

Univ Agder Fac Sci &

Engn Pb 422 N-4604 Kristiansand Norway;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Hysteresis; nonlinear systems; stability; dissipativity;

机译：滞后;非线性系统;稳定性;耗散性;

相似文献

外文文献
中文文献
专利

1. STABILITY AND FEEDBACK CONTROL OF A CLASS OF SECOND-ORDER LINEAR SYSTEMS IN BANACH SPACE [J] . 系统科学与复杂性：英文版 . 1993,第002期
2. STATE FEEDBACK STABILIZATION FOR A CLASS OF NONLINEAR TIME-DELAY SYSTEMS VIA DYNAMIC LINEAR CONTROLLERS [J] . CHAI Lin, QIAN Chunjiang 系统科学与复杂性：英文版 . 2014,第003期
3. A robust output-feedback adaptive dynamic surface control for linear systems with input disturbance [J] . Mingchao SONG, Yan LIN 控制理论与应用：英文版 . 2013,第002期
4. A robust output-feedback adaptive dynamic surface control for linear systems with input disturbance [J] . Mingchao SONG, Yan LIN 控制理论与应用（英文版） . 2013,第002期
5. Design of bounded feedback controls for linear dynamical systems by using common Lyapunov functions [J] . Igor, Ananievskii, Nickolai, 力学快报：英文版 . 2011,第001期
6. Design of Linear Feedback Controllers for Dynamic Systems With Hysteresis [J] . Riccardi L., Naso D., Turchiano B., Control Systems Technology, IEEE Transactions on . 2014,第4期

机译：迟滞动态系统的线性反馈控制器设计
7. Tracking Error Analysis for Feedback Systems With Hysteresis Inversion and Fast Linear Dynamics [J] . Mohamed Edardar, Xiaobo Tan, Hassan K. Khalil Journal of Dynamic Systems, Measurement, and Control . 2014,第4期

机译：具有磁滞反演和快速线性动力学的反馈系统的跟踪误差分析
8. Adaptive tracking control for a class of pure-feedback non-linear systems including actuator hysteresis and dynamic uncertainties [J] . Zhang X.Y., Lin Y. Control Theory & Applications, IET . 2011,第16期

机译：一类纯反馈非线性系统的自适应跟踪控制，包括执行器磁滞和动态不确定性
9. Asymptotic stability of reference trajectories for nonlinear systems by linear dynamic output feedback [C] . Antritter Felix European Control Conference . 2009

机译：线性动态输出反馈非线性系统参考轨迹的渐近稳定性。
10. The stability analysis of linear dynamical systems with time-delays . [D] . Kamath, Ajeet Ganesh. 2006

机译：时滞线性动力系统的稳定性分析。
11. Detection of multistability bifurcations and hysteresis in a large class of biological positive-feedback systems [O] . David Angeli, James E. Ferrell Jr., Eduardo D. Sontag 2004

机译：检测大量生物正反馈系统中的多重稳定性分叉和滞后
12. 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
13. 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

On stability of linear dynamic systems with hysteresis feedback

摘要

著录项

相似文献

相关主题

期刊订阅