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本文研究一类由N个子系统组成的具有多级动态结构线性大系统的多级反馈镇定问题,这类系统的多级反馈可镇定性与相应地导出系统分散反馈可镇定性等价。利用这种等价性以及系统本身的结构特征,给出了这类大系统可多级反馈镇定的充分条件。对于给定系统,应用本文的结论判别其多级反馈可镇定性是比较容易的。 相似文献
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具有输入饱和的组合系统的分散控制 总被引:5,自引:1,他引:5
研究了一类具有饱和输入的组合系统的分散可镇定问题. 运用M-矩阵方法, 通过线性分散状态反馈得出具有饱和输入组合系统的可镇定的充分条件. 对于具有对称结构的组合系统, 给出了更为简单的镇定条件. 相似文献
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具有输入饱和的非线性关联大系统的分散控制 总被引:1,自引:0,他引:1
考虑了一类具有输入饱和的不确定非线性关联大系统的分散输出反馈鲁棒镇定问题,利用Riccati方程的方法和矩阵的Moore-Penrose逆给出了这类系统的一种分散输出反馈鲁棒镇定控制器的设计方法.同时,考虑了一类具有输入饱和的不确定非线性相似关联大系统,利用相似系统的结构特点,简化了分散输出反馈鲁棒镇定的条件. 相似文献
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文章研究了线性不确定时滞系统的时滞相关反馈镇定问题。基于系统的状态反馈给出系统可反馈镇定的控制规律。利用线性矩阵不等式(LMI)给出了系统可反馈镇定的充分条件,最后用实例验证了所得结论的正确性。 相似文献
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本文研究了不确定线性时滞系统的稳定化鲁棒控制器设计问题,给出了一类不确定线性时滞系统稳定化鲁棒控制器的设计方法,对于一般的不确定线性时滞系统,如果它们的标称系统是二次型能稳的,则该不确定线性时滞系统也是能稳的,且给出了其稳定化控制器的设计方法。 相似文献
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In this short paper conventional observers for linear time-invariant systems are shown to be structurally inadequate from a sensitivity standpoint. It is proved that if a linear dynamic system is to provide observer action despite arbitrary small perturbations in a specified subset of its parameters, it must 1) be a closed-loop system, i.e., be driven by the observer error, 2) possess redundancy, i.e., the observer must be generating, implicitly or explicitly, at least one linear combination of states that is already contained in the measurements, and 3) contain a perturbation-free model of the portion of the system observable from the external input to the observer. The procedure for design of "robust" observers possessing the above structural features is established and discussed. 相似文献
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The purpose of this paper is to convert the problem of robust stability of a discrete-time system under non-linear perturbation to a constrained convex optimization problem involving linear matrix inequalities (LMI). The nominal system is linear and time-invariant, while the perturbation is an uncertain non-linear time-varying function which satisfies a quadratic constraint. We show how the proposed LMI framework can be used to select a quadratic Lyapunov function which allows for the least restrictive non-linear constraints. When the nominal system is unstable the framework can be used to design a linear state feedback which stabilizes the system with the same maximal results regarding the class of non-linear perturbations. Of particular interest in this context is our ability to use the LMI formulation for stabilization of interconnected systems composed of linear subsystems with uncertain non-linear and time-varying coupling. By assuming stabilizability of the subsystems we can produce local control laws under decentralized information structure constraints dictated by the subsystems. Again, the stabilizing feedback laws produce a closed-loop system that is maximally robust with respect to the size of the uncertain interconnection terms. 相似文献
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The general state-space model for a 2-D linear digital system is presented. A new definition of state-transition matrix is given. Based on the definition, it is easy to calculate the state-transition matrix for any linear digital system. The general response formula for a system follows simply from the definition. A new definition of the characteristic function of a system and a theorem parallel to the Cayley-Hamilton theorem are also given. The presented results apply to any linear causal system. 相似文献
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本文对二阶离散线性时变稳定性问题进行了研究。在离散线性时变系统Lyapunov稳定理论的基础上,给出二阶离散线性时变系统稳定的充分条件。即系统系数满足系数冻结条件和系数变化条件。仿真验证了结论的正确性。 相似文献
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线性不确定系统的鲁棒稳定控制器设计 总被引:11,自引:3,他引:8
对于满足匹配条件的线性不确定系统,本文根据Lyapunov稳定性原理给出一种鲁棒稳
定控制器的设计方法,这种方法可以设计鲁棒稳定控制器对于标称系统是最优的.本文还将
这种方法推广到不满足匹配条件的线性不确定系统,并给出数值例子说明了这种方法的有效
性. 相似文献
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In the previous work by the second author, it was shown that the polynomial Brownian noise may suppress the potential explosion of the nonlinear system without the linear growth condition or the one-sided linear growth condition and the linear Brownian noise may stabilise this suppressed system. This article is a continuation of our previous paper and considers the asymptotic properties of the suppressed system. These asymptotic properties show that the suppressed system by polynomial Brownian noise will grow with at most polynomial speed. 相似文献
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奇异线性系统的最优调节器问题 总被引:2,自引:0,他引:2
考虑奇异线性系统的最优调节器问题.所得调节器由线性反馈增益和积分器组成,反馈
增益矩阵由解一个稀疏的矩阵Riccati方程而算出.闭环稳定性也予以讨论. 相似文献
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本文给出了矩阵序列的结构算法,当结构算法结束时,可得正则阵列及相应的结构指数{m_1: α_1,α_2,…,α_(m_1)}。 利用结构算法于线性系统,可以构造属于KerC的极大(A,B)不变子空间,从而可以解决系统的干扰解耦问题。 该结构算法还能用于多项式矩阵的行正则化;求两个多项式矩阵的最大右公因及右互质部份;求解多项式矩阵的Diophantine方程;有理分式阵的分解及(作为传递函数阵的)最小实现;化系统为Yokoyama标准形;用状态反馈消去系统零点。 相似文献