Adaptive finite-time control of a class of Markovian jump nonlinear systems with parametric and dynamic uncertainties

Zhao Ping; Zhai Di-Hua; Sun Yuangong; Li Yueyang

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Adaptive finite-time control of a class of Markovian jump nonlinear systems with parametric and dynamic uncertainties

机译：具有参数和动态不确定性的一类马尔维亚跳跃非线性系统的自适应有限时间控制

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In this paper, we investigate the finite-time stabilization of Markovian jump nonlinear systems with parametric and dynamic uncertainties. Firstly, a proper criteria on finite-time globally asymptotical stability in probability (FGSP) and some useful lemmas are introduced. Then, overcoming the common influence of parameter uncertainties and coupled item which determined by Markovian switching, a state-feedback finite-time controller is explicitly constructed by adding a power integrator technique and induction method. It is proven that, the system state of the closed-loop systems is FGSP. Simulation example illustrates the effectiveness of our method. (C) 2018 Elsevier Ltd. All rights reserved.

机译：在本文中，我们研究了Markovian跳跃非线性系统具有参数和动态不确定性的有限时间稳定。首先，引入了概率（FGSP）和一些有用的lemmas的有限时间全局渐近稳定性的适当标准。然后，通过添加功率积分技术和感应方法，明确地构建了由马尔科夫切换确定的参数不确定性和耦合物品的共同影响。据证明，闭环系统的系统状态是FGSP。仿真示例说明了我们方法的有效性。（c）2018年elestvier有限公司保留所有权利。

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来源
《Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal》 |2018年第2018期|共13页
作者
Zhao Ping; Zhai Di-Hua; Sun Yuangong; Li Yueyang;
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作者单位

Univ Jinan Sch Elect Engn Jinan 250022 Shandong Peoples R China;

Beijing Inst Technol Sch Automat Key Lab Intelligent Control &

Decis Complex Syst Beijing 100081 Peoples R China;

Univ Jinan Sch Math Sci Jinan 250022 Shandong Peoples R China;

Univ Jinan Sch Elect Engn Jinan 250022 Shandong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
Nonlinear system; Markovian jump system; Finite-time globally asymptotical stability; Adaptive control;

机译：非线性系统;马尔可夫跳跃系统;有限时间全局渐近稳定性;自适应控制;

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专利

1. Adaptive finite-time control of a class of Markovian jump nonlinear systems with parametric and dynamic uncertainties [J] . Zhao Ping, Zhai Di-Hua, Sun Yuangong, Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2018,第期

机译：具有参数和动态不确定性的一类马尔维亚跳跃非线性系统的自适应有限时间控制
2. RobustH∞Fuzzy Control for Nonlinear Discrete-Time Stochastic Systems with Markovian Jump and Parametric Uncertainties [J] . HuiyingSun, LongYan Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第2期

机译：具有马尔可夫跳跃和参数不确定性的非线性离散随机系统的鲁棒H∞模糊控制
3. Global adaptive finite-time stabilization of a class of switched nonlinear systems with parametric uncertainty [J] . Cai Mingjie, Xiang Zhengrong International Journal of Adaptive Control and Signal Processing . 2016,第7期

机译：一类具有参数不确定性的非线性切换系统的全局自适应有限时间镇定
4. On designing H/sub /spl infin// controller for a class of nonlinear Markovian jump systems with parametric uncertainties [C] . Boukas, E.K., Peng Shi . 1999

机译：一类具有参数不确定性的非线性马尔可夫跳跃系统的H / sub / spl infin //控制器设计
5. Adaptive control of nonlinear systems with applications to flight control systems and suspension dynamics [D] . Ghanadan, Reza 1993

机译：非线性系统的自适应控制及其在飞行控制系统和悬架动力学中的应用
6. Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations [O] . Jian Liu, Kexin Liu, Shutang Liu -1

机译：一类不确定复杂参数和扰动的非线性复杂动力系统的自适应控制
7. RobustH∞Fuzzy Control for Nonlinear Discrete-Time Stochastic Systems with Markovian Jump and Parametric Uncertainties [O] . Huiying Sun, Long Yan 2014

机译：具有马尔维亚跳跃和参数不确定性的非线性离散时间随机系统的Robusth∞fuzzy控制
8. Optimal Control for Unknown Discrete Time Nonlinear Markov Jump Systems Using Adaptive Dynamic Programming. [R] . He, H., Zhang, H., Wang, Z., 2014

机译：基于自适应动态规划的离散非线性马尔可夫跳跃系统的最优控制。

Adaptive finite-time control of a class of Markovian jump nonlinear systems with parametric and dynamic uncertainties

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