共查询到17条相似文献,搜索用时 78 毫秒
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线性时变脉冲扰动大系统的稳定性 总被引:1,自引:1,他引:0
本文运用比较原理和向量Lyapunov函数相结合等方法,首次讨论了具有脉冲扰动的线笥时变测度大系统的稳定性,给出了若干全局指数稳定的判据。 相似文献
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张晓路 《自动化与仪器仪表》1996,(4):8-10
时延迟单变量扰动系统的稳定性山东建筑工程学院张晓路1提出问题线性时延迟稳定系统:单变量扰动系统:慢态时,X(t)∈Rn,快态时Z(t)∈Rm,Ai(i=1、2、3、4),Bj(j=1、2)是常数阵,T是延迟,未知单扰动系统。是非负的。(2)式若没有时... 相似文献
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本文对于用二阶向量差分方程描述的随机时滞系统,用增广差分方程的方法给出了数字滤波的稳定性定理和滤波误差方差阵的渐近性定理。释例计算表明,其结果与理论分析是一致的。 相似文献
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运用比较原理和导数不连续的李雅普诺夫函数,结合分解集结等方法,研究具有滞后的测度型线性时变脉冲扰动大系统的全局指数稳定性。结果表明,在一定条件下,由相应较低阶的定常时滞比较系统的指数稳定性,可得到时滞脉冲扰动时变大系统零解的全局指数稳定性。 相似文献
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Decentralized Observer Design for a Class of Nonlinear Uncertain Large Scale Systems with Lumped Perturbations
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Wen‐Jeng Liu 《Asian journal of control》2016,18(6):2037-2046
Many valuable properties of the state feedback method can not be applied to some class of control systems while some of the system states cannot be measured directly. An attractive alternative approach is to make good use of a state observer. In this paper, a new decentralized sliding mode observer (DSMO) is proposed for a class of nonlinear uncertain large‐scale systems (LSS) with lumped perturbations based on the sliding mode control (SMC) theory. Our main result presented here is that we introduce a new switching term to the traditional LSS observer design for a class of large‐scale system to generate a new decentralized sliding mode observer. The generalized matrix inverse concept is adopted to avoid using the un‐measurable state and the global reaching condition of the sliding mode for each error subsystem is guaranteed. The stability of each equivalent error subsystem is verified based on the strictly positive real concept. It also shows that the investigated uncertain large‐scale systems still possesses the property of insensitivity to the lumped perturbations as does the traditional linear system. Moreover, the state transformation approach is no longer needed as there is no longer concern about the problems of finding a suitable transformation or indirect estimated states, since the proposed DSMO is not based on the transformed system model. Finally, a numerical example with a series of computer simulations is given to demonstrate the validity of the proposed decentralized sliding mode observer. 相似文献
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多组时滞大型控制系统的镇定 总被引:2,自引:0,他引:2
给出了由无时滞线性定常闭孤立控制子系统的渐近稳定性推出多组时滞线性定常闭环大型控制系统的渐近稳定性的充分条件,并说明了所得结果可以推广到多组时滞线性时变闭环大型控制系统与多组时滞线中立型定常(或时变)闭环大型控制系统,所得结果改进了前人的结果,通过参数镇定域的比较知,可使参数镇定域扩大为原来的6倍。 相似文献