Observer-Based Passive Control for Conic-Type Markov Jump Systems with Mode-Dependent Uncertainties

机译：基于Observer的Markov Jump系统的无源控制，具有模式依赖性不确定性

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The passive controller design issue for conic-type nonlinear Markov jump systems with unmeasurable states and mode-dependent uncertainties is considered in this paper. Firstly, we construct a appropriate observer and state feedback controller and design an error dynamic system. Then, an suitable Lyapunov-Krasovskii function is selected to guarantee the error dynamic system be stochastic stable and fulfills the given passive performance indicator. In the end, the validity of the presented approach is demonstrated by a numerical simulation.

机译：本文考虑了圆锥形非线性马尔可夫跳跃系统的无源控制器设计问题，包括不可估量的状态和模式相关的不确定性。首先，我们构建适当的观察者和状态反馈控制器并设计一个错误动态系统。然后，选择合适的Lyapunov-Krasovskii功能以确保误差动态系统是随机稳定的，并满足给定的被动性能指示灯。最后，通过数值模拟来证明所提出的方法的有效性。

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《Youth Academic Annual Conference of Chinese Association of Automation》|2021年|746-750|共5页
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Menghua Xia; Wenqiang Yu; Shuping He;
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Sufficient conditions; State feedback; Uncertainty; Automation; Markov processes; Observers; Numerical simulation;

机译：充分条件;国家反馈;不确定性;自动化;马尔可夫进程;观察者;数值模拟;

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1. Observer-based finite-time asynchronous control for a class of hidden Markov jumping systems with conic-type non-linearities [J] . Control Theory & Applications, IET . 2020,第2期

机译：一类具有圆锥型非线性隐马尔可夫跳跃系统的基于观测器的有限时间异步控制
2. Non-fragile observer-based sliding mode control for Markovian jump systems with mixed mode-dependent time delays and input nonlinearity [J] . Lijun Gao, Dandan Wang, Yuqiang Wu Applied mathematics and computation . 2014,第Null期

机译：具有混合模式相关时滞和输入非线性的马尔可夫跳跃系统的基于非脆弱观察者的滑模控制
3. Non-fragile passive controller design for nonlinear Markovian jumping systems via observer-based controls [J] . Shuping He Neurocomputing . 2015,第jana5期

机译：基于观察者的非线性马尔可夫跳跃系统的非脆弱无源控制器设计
4. Asynchronous Guaranteed Cost Control for Markov Jump Systems with Conic-Type Nonlinerities [C] . Xiang Zhang, Kaixuan Chen, Yidong Tu, International Conference on Information, Cybernetics, and Computational Social Systems . 2020

机译：Markov Jump Systems具有圆锥形非线性的异步保证成本控制
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. Non-fragile mixed H∞ and passive synchronization of Markov jump neural networks with mixed time-varying delays and randomly occurring controller gain fluctuation [O] . Chao Ma -1

机译：具有混合时变时滞和随机发生的控制器增益波动的Markov跳神经网络的非脆弱混合H∞和被动同步
7. An Observer-Based Controller Design for a Markovian Jumping Singular System with Polytopic Uncertainties [O] . Ching-Min Lee, Yi-Ching Huang, Cheng-Chia Kung 2017

机译：一种基于观察者的控制器设计，用于多种多联不确定性的Marvian跳跃奇异系统
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。

Observer-Based Passive Control for Conic-Type Markov Jump Systems with Mode-Dependent Uncertainties

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