共查询到19条相似文献,搜索用时 109 毫秒
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具有时滞的奇异系统H∞控制 总被引:2,自引:0,他引:2
针对具有时滞的奇异系统H∞输出反馈控制问题, 利用Lyapunov泛函方法, 得到闭环系统稳定且具有H∞-范数界γ的充分条件, 基于相应的LMI可行解给出了动态控制器显式表示. 最后, 数值例子表明了该方法的正确性. 相似文献
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对于一类具有不满足匹配条件干扰的非线性不确定系统, 定义了H∞ 滑模控制问题Q1.通过状态变换和状态反馈以及干扰重定义, 提出了线性系统的滑模干扰抑制问题Q2. 问题Q2 可以通过解Riccati不等式得以解决. 在一定的假设条件下, 证明了可以通过解Q2 获得Q1问题的解. 最后给出了保证滑模存在的控制律. 单机无穷大系统励磁控制的计算机仿真结果表明了该方法的有效性. 相似文献
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在状态空间描述下,定义了混合H2/H∞控制的完整信息、完整控制、干扰顺馈、输出估计这4种典型情况.在二次稳定意义上,讨论了混合H2/H∞的性能指标,及这4种典型情况的混合H2/H∞线性反馈控制器设计,给出了充分必要条件.在典型情况分析的基础上,研究一般意义上的混合H2/H∞反馈控制器设计.H2和H∞的干扰输入阵及性能评价函数各不相同时的混合H2/H∞反馈控制器,与H2和H∞控制器设计相似,归结为解两个Riccati方程.但这两个Riccati方程含有参数,最优解要通过搜索这两个参数得到.结果包含了单纯的H2和H∞设计,可看作是H2,H∞和混合H2/H∞的统一设计方法.最后通过一个简单的例子,说明了控制器设计方法的可行性. 相似文献
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针对含有多个未知非线性项的非线性系统难于控制的问题,提出利用Chebyshev正交函数构建基于神经网络滤波器的控制器,并在权值学习误差有界和跟踪误差有界条件下,通过李雅普诺夫稳定性定理确定控制器的权值,保证了非线性系统的H∞鲁棒控制.最后,利用所提出算法对非线性系统的滤波器和控制器进行确定,仿真结果验证了该方法的有效性. 相似文献
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研究了混合H2/H∞参数辨识问题.将混合H2/H∞估计方法应用到系统参数辨识中,给出了混合H2/H∞参数辨识算法.所得的算法不仅能满足规定的鲁棒性能,且为最小二乘(LS)参数估计误差判据提供了一个最优上界.结果表明:提高辨识的鲁棒性,需要牺牲辨识的精度作为代价.最后,仿真结果也验证了该方法的有效性. 相似文献
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实际系统的奇异系统模型往往通过忽略系统的奇异摄动系统模型微分项系数矩阵中的小时间参数得到.然而,传统的奇异系统控制器设计很少考虑微分项系数矩阵的摄动.本文拓展了现有奇异系统输出动态反馈H∞控制器的设计,使得当实际闭环系统中存在小时间参数时,仍然能保持稳定并且满足一定的H∞性能指标.仿真算例说明了本文提出方法的有效性. 相似文献
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研究奇异摄动时滞系统次优控制的近似设计问题.基于奇异摄动的快慢分解理论,将系统的最优控制问题转化为无时滞快子问题和线性时滞慢子问题;利用Chebyshev多项式级数方法将时滞慢子问题的近似求解问题转化为线性代数方程组的求解问题,进而得到原系统的次优控制律,该控制律由Chebyshev多项式级数的基向量表示.仿真算例表明了该方法的有效性. 相似文献
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This paper examines the problem of designing a robust H∞ output feedback controller for a class of singularly perturbed systems described by a Takagi–Sugeno fuzzy model. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain singularly perturbed nonlinear systems to have an H∞ performance are derived. To eliminate the ill-conditioning caused by the interaction of slow and fast dynamic modes, solutions to the problem are presented in terms of LMIs which are independent of the singular perturbation . The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard singularly perturbed nonlinear systems. A numerical example is provided to illustrate the design developed in this paper. 相似文献
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H-infinity control for switched and impulsive singular systems 总被引:1,自引:1,他引:0
A new model of dynamical systems is proposed which consists of singular systems with impulsive effects, i.e., switched and impulsive singular systems (SISS). By using the switched Lyapunov functions method, a sufficient condition for the solvability of the H-infinity control problem for SISSs is given which generalizes the H-infinity control theory for singular systems to switched singular systems with impulsive effects. Then the sufficient condition of solvablity of the H-infinity control problem is presented in terms of linear matrix inequalities. Finally, the effectiveness of the developed aooroach for switched and imoulsive singular svstems is illustrated by a numerical example. 相似文献
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Decentralized H-infinity state feedback control for discrete-time singular large-scale systems 总被引:1,自引:0,他引:1
The decentralized H-infinity control problem for discrete-time singular large-scale systems is considered. Based on the bounded real lemma of discrete-time singular systems, a sufficient condition for the existence of decentralized H-infinity controller for discrete-time singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities by linear matrix inequality (LMI) approach, and the feasible solutions to the system of LMIs provide a parameterized representation of a set of decentralized H-infinity controller. The given example shows the application of the method. 相似文献
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