Variable Structure Contrcl for a class of uncertain Time-Delay hybrid linear systems with Markovian jump parameter

机译：一类具有马尔可夫跳跃参数的不确定时滞混合线性系统的变结构控制

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The variable structure control problem of a class of uncertain time-delay hybrid linear systems with Markovian jump parameter is considered.Under the assumptions of matched known upper bound system uncertainties and mismatched known upper bound system uncertainties, the sufficient conditions are proposed to guarantee the mean exponentially stability of reduced-order sliding mode system.Under the conditions of two kinds of system uncertainties, conventional variable structure control laws are proposed.The control methods guarantees that the trajectory of system arrives at the sliding surface in finite time interval and is kept here thereafter. Tt has been shown that the variable structure control problem for the Markovian jump systems is solvable if a set of linear matrix inequalities(LMIs) have solution.Latsly a simulation is given to illustrate the effectiveness of the proposed approach.

机译：考虑了一类具有马尔可夫跳跃参数的不确定时滞混合线性系统的变结构控制问题。在已知上界不确定性匹配和已知上界不确定性不匹配的假设下，提出了充分的条件来保证均值在两种系统不确定性的条件下，提出了传统的变结构控制律。控制方法保证了系统的轨迹在有限的时间间隔内到达滑动面，并保持不变。之后。研究表明，如果一组线性矩阵不等式（LMI）有解，那么马尔可夫跳跃系统的变结构控制问题就可以解决。

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《International conference on education technology and computer》|2011年|375-379|共5页
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He Youguo; Zhang Yi; Wu Xiao; Zhang Muyong;
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中图分类计算机化教学;
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variable structure control; hybrid linear system; Markovian jumping parameters; linear matrix inequalities;

机译：变结构控制混合线性系统马尔可夫跳跃参数线性矩阵不等式;

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专利

1. Delay-dependent H (a) control for a class of uncertain time-delay singular Markovian jump systems via hybrid impulsive control [J] . Lv Hui, Zhang Qingling, Ren Junchao International Journal of Control, Automation, and Systems . 2016,第4期

机译：一类不确定时滞奇异马尔可夫跳跃系统的时滞相关H（a）控制通过混合脉冲控制
2. Delay-dependent non-fragile robust dissipative filtering for uncertain nonlinear stochastic singular time-delay systems with Markovian jump parameters [J] . Yuechao Ma, Huijie Yan Advances in Difference Equations . 2013,第1期

机译：具有马尔可夫跳跃参数的不确定非线性随机奇异时滞系统的时滞相关非脆弱鲁棒耗散滤波
3. Robust H_∞ Filtering for Uncertain Nonlinear Stochastic Systems with Mode-dependent Time-delays and Markovian Jump Parameters [J] . Huaicheng Yan, Hao Zhang, Hongbo Shi, Circuits, systems and signal processing . 2011,第2期

机译：具有模式相关时滞和马尔可夫跳跃参数的不确定非线性随机系统的鲁棒H_∞滤波
4. Variable Structure Contrcl for a class of uncertain Time-Delay hybrid linear systems with Markovian jump parameter [C] . He Youguo, Zhang Yi, Wu Xiao, International conference on education technology and computer . 2011

机译：具有Markovian Jump参数的一类不确定时延混合线性系统的可变结构Contrcl
5. Control-Parameter-Space Classification for Delay-Independent-Stability of Linear Time-Invariant Time-Delay Systems; Theory and Experiments. [D] . Nia, Payam Mahmoodi. 2014

机译：线性时不变时滞系统时滞稳定性的控制参数空间分类理论与实验。
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 adaptive sliding mode control for a class of uncertain hybrid linear systems with Markovian jump parameters [O] . He, Youguo, Stankovski, Mile J., Jing, Yuanwei, 2008

机译：一类具有马尔可夫跳跃参数的不确定混合线性系统的鲁棒自适应滑模控制
8. Estimation for Uncertain Linear Systems with Jump Parameters. [R] . Tugnait, J. K. 1978

机译：具有跳跃参数的不确定线性系统的估计。

Variable Structure Contrcl for a class of uncertain Time-Delay hybrid linear systems with Markovian jump parameter

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