共查询到20条相似文献，搜索用时 500 毫秒
1.
The robust stabilization problem for a class of uncertain linear time-delay systems containing sector saturating actuator
is considered in this paper. The uncertain time-delay systems under consideration are described by state differential equations
with time-varying unknown-but-bounded uncertain parameters and delayed state. The delay is assumed to be constant bounded
but unknown. The new criterion of delay-dependent robust stabilizability for uncertain time-delay systems is presented and
the corresponding robust memoryless state feedback controller is derived in terms of the solutions of several linear matrix
inequalities (LMIs). Numerical example is presented to illustrate the obtained results.
Project supported by the Natural Science Key Foundation of China (NSFC: 69934030) and the Excellent (Youth) Teacher for Teaching
and Research Award Foundation in Institutions of China. 相似文献
2.
田彦伟 《安阳师范学院学报》2008,(5):13-16
针对一类含有时变时滞和参数不确定性的神经网络,研究了它的鲁棒稳定性．利用线性矩阵不等式（LMI）方法,得到一个新的时滞依赖的结论,结论以线性矩阵不等式的形式给出,便于直接应用．最后的数值例子说明了所得结论的有效性和优越性． 相似文献
3.
针对一类具有参数不确定性的非线性网络化控制系统,同时考虑网络延时和数据包丢失的影响,利用T—S模型对其进行描述,通过构造Lyapunov—Krasovskii泛函,以线性矩阵不等式形式给出并证明确保非线性网络化控制系tE（NCS）在执行器失效故障时,具有鲁棒容错性依赖的充分条件。仿真算例说明了容错算法的可行性和有效性。 相似文献
4.
For linear switched system with both parameter uncertainties and time delay,a delay-dependent sufficient condition for the existence of a new robust H∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm.Compared with the conventional state-feedback controller,the proposed controller can achieve better robust control performance since the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed synchronously with the dynamical characteristic of the system.This design method was also extended to the case where only delayed state is available for the controller.The example of balancing an inverted pendulum on a cart demonstrates the effectiveness and applicability of the proposed design methods. 相似文献
5.
研究了一类中立系统的稳定性问题,设计一个基于观测器的状态反馈器。采用描述器方法,利用Lypunov函数,不对V函数的导数放大,而是引用一些恰当的0项,通过解两个LMI,获得了误差系统和原系统的时滞相关稳定性的充分条件。同时解决了系统增益问题。最后一个数值例子说明了设计方法的有效性和可行性。 相似文献
6.
This paper is concerned with the issue of stabilization for the linear neutral systems with mixed delays. The attention is focused on the design of output feedback controllers which guarantee the asymptotical stability of the closed-loop systems. Based on the model transformation of neutral type, the Lyapunov-Krasovskii functional method is employed to establish the delay-dependent stability criterion. Then, through the controller parameterization and some matrix transformation techniques, the desired parameters are determined under the delay-dependent design condition in terms of linear matrix inequalities （LMIs）, and the desired controller is explicitly formulated. A numerical example is given to illustrate the effectiveness of the proposed method. 相似文献
7.
For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the
existence of a new robustH
∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm. Compared
with the conventional state-feedback controller, the proposed controller can achieve better robust control performance since
the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed
synchronously with the dynamical characteristic of the system. This design method was also extended to the case where only
delayed state is available for the controller. The example of balancing an inverted pendulum on a cart demonstrates the effectiveness
and applicability of the proposed design methods.
Project (No. 2002CB312200) supported by the National Basic Research Program (973) of China 相似文献
8.
刘轩 《韩山师范学院学报》2011,(6):29-33
讨论了具有控制时滞的Lurie系统在非线性项满足有限扇形区域条件下的绝对稳定性．依据Lyapunov稳定性理论,构造一个适当的Lyapunov泛函,利用线性矩阵不等式的方法,通过一个积分不等式获得了系统绝对稳定的时滞相关条件．并应用schur补引理将以上结果推广到了具有范数有界的不确定Lurie时滞系统,得到了系统鲁棒... 相似文献
9.
本文主要研究了同时具有状态时滞和输入时滞的不确定离散时滞系统的鲁棒H_∞控制问题。基于二次稳定性理论,采用线性矩阵不等式方法,给出了该系统鲁棒H_∞控制器存在的充分条件和有记忆状态反馈控制器的设计方法。最后利用数值例子说明了该方法的有效性。 相似文献
10.
讨论了一类具有区间时变时滞的不确定随机系统的稳定性问题.利用区间时滞的上、下界信息,构造了一个新颖的Lyapunov-Krasovskii泛函.以线性矩阵不等式(LMIs)形式给出了时滞相关稳定性的充分判据,利用Matlab工具箱可以很容易对这些判据进行检验.推导过程基于Jensen积分不等式方法,避免了系统模型变换和交叉项有界等易于产生保守性的方法的使用,故得出判据的保守性小于文献中已有的结果.由于在获得的稳定性条件中没有引入多余的矩阵变量,因此所得判据的计算复杂度明显降低.最后,用一个数值例子说明了该方法的有效性和具有的优势. 相似文献
11.
CHEN Yun XUE An-ke GE Ming WANG Jian-zhong LU Ren-quan 《浙江大学学报(A卷英文版)》2007,8(8):1296-1303
This paper considers the issue of delay-dependent exponential stability for time-delay systems. Both nominal and uncertain systems are investigated. New sufficient conditions in terms of linear matrix inequalities(LMIs) are obtained. These criteria are simple owing to the use of an integral inequality. The model transformation approaches,bounding techniques for cross terms and slack matrices are all avoided in the derivation. Rigorous proof and numerical examples showed that the proposed criteria and those based on introducing slack matrices are equivalent. 相似文献
12.
李亚军 《顺德职业技术学院学报》2013,(4):1-4
针对一类不确定随机离散变时滞系统,建立了随机稳定性标准,该系统中随机干扰满足布朗运动。选取合适的李雅普诺夫函数,借助于随机稳定性理论、自由权矩阵和线性矩阵不等式等方法,给出并证明了使得该系统随机稳定的充分条件,所有结果以线性矩阵不等式的形式给出,应用例子和仿真表明所给稳定性标准的有效性。 相似文献
13.
Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains
INTRODUCTIONMany researchers have devoted their energy to the development of nonlinear system with unknown control directions during the past few years. The class of nonlinear system has been developed greatly since Mudgett and Morse (1985) relaxed the assumption that the unknown multiplicative terms are not only sign-invariant but also have known signs. A method called correction vector approach was proposed in (Lozano et al., 1990) and has been applied to design adaptive controller of … 相似文献
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16.
研究了一类具有区间变时滞的Lurie系统时滞相关绝对稳定性问题．利用增广Lyapunov泛函,结合自由权矩阵方法和反凸组合技术,提出了一种新的基于线性矩阵不等式的稳定性条件．通过保留Lyapunov泛函导数中常被忽略的有用信息,使得到的稳定性充分条件不仅依赖于时滞的上下界和时滞导函数的上下界,还依赖于它们的差,与已有文献的结果相比,具有更广泛的应用背景．此外,在处理非线性函数的扇形域时,给出了非线性函数的一种新的等式描述,和已有文献中的凸描述相比,要验证的线性矩阵不等式较少,因此具有更低的保守性．仿真实例表明了所提方法的有效性． 相似文献
17.
针对一类具有时变状态时滞和参数不确定性的线性不确定时滞系统,研究了闭环极点具有α-稳定性限制的鲁棒H∞控制器设计问题.对所有容许的不确定,首先给出判断系统鲁棒α-稳定且具有干扰衰减γ的充分条件;而后基于线性矩阵不等式方法,分别提出了状态反馈和动态输出反馈控制器存在的充分条件及相应的控制器设计方法.数值算例验证了所给结果的有效性. 相似文献
18.
用Ｌｙａｐｕｎｏｖ 函数方法讨论了具两个非线性项的一般Ｌｕｒｉｅ 型直接控制系统的鲁棒绝对稳定性,得到了一些鲁棒绝对稳定的充分条件,推广和改进了前人的一些结果．并举例说明结果的有效性 相似文献
19.
王佑恩 《三明高等专科学校学报》2013,(6):9-16
研究Delta算子描述的线性不确定时滞系统的可靠保性能控制问题。考虑系统含有具有凸多面体不确定性参数和连续模型执行器故障,根据Lyapunov稳定性理论,给出对于所有允许的不确定性和执行器故障．均使闭环系统渐近稳定且给定性能指标具有一定上界的状态反馈控制器的存在条件,由此提出相应控制器的设计方法。通过数值算例验证了设计方法的可行性。 相似文献
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