Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach

Matusu Radek; Prokop Roman

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Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach

机译：分数阶时滞控制系统的鲁棒稳定性：一种图形方法

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The paper deals with a graphical approach to investigation of robust stability for a feedback control loop with an uncertain fractional order time-delay plant and integer order or fractional order controller. Robust stability analysis is based on plotting the value sets for a suitable range of frequencies and subsequent verification of the zero exclusion condition fulfillment. The computational examples present the typical shapes of the value sets of a family of closed-loop characteristic quasipolynomials for a fractional order plant with uncertain gain, time constant, or time-delay term, respectively, and also for combined cases. Moreover, the practically oriented example focused on robust stability analysis of main irrigation canal pool controlled by either classical integer order PID or fractional order PI controller is included as well.

机译：本文采用图形方法研究具有不确定分数阶时滞工厂和整数阶或分数阶控制器的反馈控制环的鲁棒稳定性。鲁棒的稳定性分析基于绘制适合频率范围的值集并随后验证零排除条件是否成立。这些计算示例分别给出了具有不确定增益，时间常数或时间延迟项的分数阶工厂以及组合情况下闭环特征拟多项式族的值集的典型形状。此外，还包括一个以实践为导向的示例，该示例侧重于通过经典整数阶PID或分数阶PI控制器控制的主灌溉渠池的鲁棒稳定性分析。

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《Mathematical Problems in Engineering》 |2015年第16期|847210.1-847210.9|共9页
作者
Matusu Radek; Prokop Roman;
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Tomas Bata Univ Zlin, Fac Appl Informat, Ctr Secur Informat & Adv Technol CEBIA Tech, Zlin 76001, Czech Republic.;

Tomas Bata Univ Zlin, Fac Appl Informat, Ctr Secur Informat & Adv Technol CEBIA Tech, Zlin 76001, Czech Republic.;

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1. Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach [J] . RadekMatu??, RomanProkop Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第5期

机译：分数阶时滞控制系统的鲁棒稳定性：一种图形方法
2. Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach [J] . RadekMatu??, RomanProkop Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第1期

机译：分数阶时滞控制系统的鲁棒稳定性：一种图形方法
3. Robust Stability and Stabilization for Singular Time-Delay Systems with Linear Fractional Uncertainties: A Strict LMI Approach [J] . Jinxing Lin, Lina Rong Mathematical Problems in Engineering . 2013,第pta14期

机译：具有线性分数不确定性的奇异时滞系统的鲁棒稳定性和镇定：严格的LMI方法
4. CONTROL OF TIME-DELAY SYSTEMS USING ROBUST FRACTIONAL-ORDER CONTROL AND ROBUST SMITH PREDICTOR BASED CONTROL [C] . Patrick Lanusse, Alain Oustaloup American Society of Mechanical Engineers(ASME)International Design Engineering Technical Conference and Computers and Information in Engineering Conference(DETC2005) vol.6 pt.6: International Conference on Multibody Systems, Nonlinear Dynamics, and Contr . 2005

机译：基于鲁棒分数阶控制和鲁棒史密斯预测器的时滞系统控制
5. Robust control of uncertain time-delay systems. [D] . Haurani, Ammar. 2004

机译：不确定时滞系统的鲁棒控制。
6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

机译：具有时滞的不确定中立随机非线性系统的时滞相关鲁棒稳定性的稳定性判据
7. Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach [O] . Matušů Radek, Prokop Roman 2015

机译：分数阶时滞控制系统的鲁棒稳定性：一种图形方法
8. Robust Stability of Smith Predictor Controllers for Time-Delay Systems [R] . Owens, D. H., Raya, A. 1982

机译：时滞系统smith预估控制器的鲁棒稳定性

Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach

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