Robust local stabilization of nonhomogenous Markovian jump fuzzy system with incomplete transition probabilities

机译：具有不完全转换概率的非源性市场跳跃模糊系统的强大局部稳定

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This paper is concerned with the local stabilization for continuous-time nonhomogeneous Markovian jump fuzzy system with parameter uncertainties and incomplete transition description. Essentially, this paper proposes a method capable of designing a mode- and fuzzy-basis-dependent state feedback control such that the closed-loop system is locally exponentially mean square stable at the zero equilibrium point. In this method, an efficient relaxation technique is involved to reduce the conservatism that can occur while deriving a finite number of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the proposed method.

机译：本文涉及具有参数不确定性和不完全转换描述的连续时间非均匀性市场跳跃模糊系统的局部稳定性。本质上，本文提出了一种能够设计模式和模糊基础依赖性状态反馈控制的方法，使得闭环系统在零平衡点处局部指数均值平均稳定。在该方法中，涉及有效的放松技术来减少可以在导出有限数量的线性矩阵不等式（LMI）的同时发生的保守主义。给出了数值例子来证明所提出的方法的有效性。

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《International Conference on Control, Mechatronics and Automation》|2019年|1 v.|共5页
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Thanh Binh Nguyen; Sung Hyun Kim;
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中图分类 TH15;
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closed loop systems; control system synthesis; fuzzy systems; linear matrix inequalities; Lyapunov methods; Markov processes; probability; robust control; stability; state feedback; stochastic systems; uncertain systems;

机译：闭环系统;控制系统合成;模糊系统;线性矩阵不等式;Lyapunov方法;马尔可夫进程;概率;稳健;稳定;状态反馈;随机系统;不确定的系统;

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专利

1. Less conservative stabilization conditions for Markovian jump systems with incomplete knowledge of transition probabilities and input saturation [J] . Kwon Nam Kyu, Park Bum Yong, Park PooGyeon Optimal Control Applications and Methods . 2016,第6期

机译：马尔科夫跳跃系统的不那么保守的稳定条件，其转移概率和输入饱和度的知识不完整
2. Stabilization of Markovian jump systems with incomplete knowledge of transition probabilities and input quantization [J] . Park Bum Yong, Kwon Nam Kyu, Park PooGyeon Journal of the Franklin Institute . 2015,第10期

机译：具有不完全的转移概率和输入量化知识的马尔可夫跳跃系统的镇定
3. Improved H-infinity state-feedback control for continuous-time Markovian jump fuzzy systems with incomplete knowledge of transition probabilities [J] . Kwon Nam Kyu, Park Bum Yong, Park Poo Gyeon, Journal of the Franklin Institute . 2016,第15期

机译：转移概率不完全的连续时间马尔可夫跳跃模糊系统的改进H-无穷状态反馈控制
4. Robust local stabilization of nonhomogenous Markovian jump fuzzy system with incomplete transition probabilities [C] . Thanh Binh Nguyen, Sung Hyun Kim International Conference on Control, Mechatronics and Automation . 2019

机译：具有不完整转移概率的非齐次马尔可夫跳跃模糊系统的鲁棒局部镇定
5. Control of time-delayed Markovian jump linear systems. [D] . Beane, Carlos D. 2010

机译：时滞马尔可夫跳跃线性系统的控制。
6. H∞ Estimation for Stochastic Time Delays in Networked Control Systems by Partly Unknown Transition Probabilities of Markovian Chains [O] . Chenyu Guo, Weidong Zhang -1

机译：H基于未知的马尔可夫链转移概率的网络控制系统随机时滞∞估计
7. On designing overlapping group mode-dependentH∞controllers of discrete-time Markovian jump linear systems with incomplete mode transition probabilities [O] . Xiaohua Ge, Qing-Long Han 2014

机译：在设计重叠群模式的上依赖性的离散时间Markovian跳转线性系统的重叠群模式 - 具有不完整模式的转换概率

Robust local stabilization of nonhomogenous Markovian jump fuzzy system with incomplete transition probabilities

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