Robust Stability in Discrete Control Systems via Linear Controllers with Single and Delayed Time

Hernandez-Galvan B. L.; Lopez-Renteria J. A.; Aguirre-Hernandez B.; Fernandez-Anaya G.

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Robust Stability in Discrete Control Systems via Linear Controllers with Single and Delayed Time

机译：离散控制系统通过线性控制器具有单一时间和延迟时间的鲁棒稳定性

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In this work, a discrete feedback of single and a delayed time is introduced in a LTI control discrete system, yielding a monoparametric family of LTI systems. A polynomial approach technique to compute the maximal robust stability interval of the monoparametric system with single and delayed time controller is developed by using the zero exclusion principle and the boundary crossing theorem. Illustrative examples are given to show the technique.

机译：在这项工作中，在LTI控制离散系统中引入了单个时间和延迟时间的离散反馈，从而产生了LTI系统的单参数族。利用零排除原理和边界交叉定理，发展了一种采用单时滞控制的单参数系统最大鲁棒稳定区间的多项式求解技术。给出了说明性示例以说明该技术。

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《Mathematical Problems in Engineering》 |2018年第7期|3674628.1-3674628.11|共11页
作者
Hernandez-Galvan B. L.; Lopez-Renteria J. A.; Aguirre-Hernandez B.; Fernandez-Anaya G.;
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Univ Iberoamer, Dept Fis & Matemat, Cdmx 01219, Mexico;

Univ Iberoamer, Dept Fis & Matemat, Cdmx 01219, Mexico;

Univ Autonoma Metropolitana, Dept Matemat, Cdmx 09340, Mexico;

Univ Iberoamer, Dept Fis & Matemat, Cdmx 01219, Mexico;

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1. Robust Stability in Discrete Control Systems via Linear Controllers with Single and Delayed Time [J] . B. L. Hernndez-Galvn, J. A. Lpez-Rentera, B. Aguirre-Hernndez, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第5期

机译：离散控制系统通过线性控制器具有单个和延迟时间的鲁棒稳定性
2. Investigating the effects of time-delays on stochastic stability and designing l(1)-gain controllers for positive discrete-time Markov jump linear systems with time-delay [J] . Zhu Shuqian, Han Qing-Long, Zhang Chenghui Information Sciences: An International Journal . 2016,第Null期

机译：研究时滞对随机稳定性的影响，并为具有时滞的正离散时间马尔可夫跳跃线性系统设计l（1）增益控制器
3. Improved approach for passive stability of discrete-time Markovian jump linear systems via mode-dependent time-delayed controllers [J] . Kunfeng Lu, Magdi S. Mahmoud, Jiqing Qiu Optimal Control Applications and Methods . 2012,第2期

机译：依赖于模式的时滞控制器的离散时间马尔可夫跳跃线性系统被动稳定性的改进方法
4. Stability robustness of linearizing controllers with state estimation for discrete-time nonlinear systems [C] . Cruz, C., Alvarez, . 1999

机译：具有状态估计的离散时间非线性系统的线性化控制器的稳定性鲁棒性
5. Analysis of system response, stability robustness and controller design of robotic manipulators with time delays. [D] . Streuding, Gerhard Cornelis. 1996

机译：具有时滞的机器人机械手的系统响应，稳定性鲁棒性和控制器设计分析。
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 H∞ control for uncertain discrete-time-delay fuzzy systems via output feedback controllers [O] . Xu S, Lam J 2005

机译：基于输出反馈控制器的不确定离散时滞模糊系统的鲁棒H∞控制
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 in Discrete Control Systems via Linear Controllers with Single and Delayed Time

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