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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.
针对不确定时滞的奇异系统H8状态反馈控制,基于线性矩阵不等式方法(LMI)及Lyapunov稳定性理论导出使得奇异系统鲁棒可镇定且具有H8范数界γ的一个充分条件,并用线性矩阵不等式给出状态反馈控制器设计方法。数值例子证明了该方法的有效性。 相似文献
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Delay-dependent robust control for uncertain discrete singular systems with time-varying delay 总被引：1，自引：0，他引：1
The design problem of delay-dependent robust control For uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent robust stability condition is derived and expressed in terms of linear matrix inequalities （LMIs）. A suitable robust state feedback control law is presented, which guarantees that the resultant closed-loop system is regular, causal and stable for all admissible uncertainties. Numerical examples are given to demonstrate the applicability of the proposed method. 相似文献
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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
7.
针对一类同时具有状态时滞和输入时滞的时变不确定连续时滞系统,研究了保成本状态反馈控制器的设计,假定其中的时变不确定性项是范数有界的,但不需要满足匹配条件,通过构造改造的Lyapunov函数和线性矩阵不等式(LMI)方法.给出了系统满足保性能指标的一个充分条件,仅通过求解一个相应的线性矩阵不等式,就可得到保性能控制器使得闭环系统的一个保成本函数对所有允许的不确定参数有上界.通过求解凸优化问题得到最优保性能控制器,最后用示例说明了该方法的有效性. 相似文献
8.
BAI Lei-shi HE Li-ming TIAN Zuo-hua SHI Song-jiao 《浙江大学学报(A卷英文版)》2006,7(10):1733-1741
INTRODUCTION Due to increasing demand for higher perform- ance, as well as for higher safety and reliability standards, the model-based approaches to fault de- tection and isolation (FDI) for dynamic systems have received more and more attention during the last two decades (Chen and Patton, 1999; Chen and Saif, 2006 Frank and Ding, 1997; Gao and Wang, 2006; Jiang and Zhou, 2005; Zhou et al., 1998). Among these model-based approaches, the most common way is the observer-based approach… 相似文献
9.
Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays 总被引：3，自引：0，他引：3
Based on input-output approach, the robust stability and stabilization problems for uncertain singular systemswith time-varying delays are investigated. The parameter uncertainties are assumed to be norm-bounded and the time-varying delays include both discrete delay and distributed delay. By introducing a new input-output model, the time-delay system is embedded in a family of systems with a forward system without time delay and a dynamical feedback uncertainty. A sufficient and necessary condition, which guarantees the system regular, impulse-free and stable for all admissible uncertainties, is obtained. Based on the strict linear matrix inequality, the desired robust state feedback controller is also obtained. Finally, a numerical example is provided to demonstrate the application of the proposed method. 相似文献
10.
针对网络控制系统(NCS)存在时延的情况下如何设计控制器问题,提出了一种新的网络闭环控制系统建模方法-离散模糊T-S模型,并在此模型的基础上应用平行分布补偿原理设计了NCS模糊控制器;应用Lyapunov理论和LMI方法,研究了系统的模糊稳定控制问题,给出了基于线性矩阵不等式的不依赖时滞的状态反馈模糊控制器的设计方法,并获得了NCS模糊控制的稳定充分条件为求解一组线性矩阵不等式;通过仿真验证了该控制方法的有效性。 相似文献
11.
The suboptimal reliable guaranteed cost control （RGCC） with multi-criterion constraints is investigated for a class of uncertain continuous-time systems with sensor faults. A fauk model in sensors, which considers outage or partial degradation of sensors, is adopted. The influence of the disturbance on the quadratic stability of the closed-loop systems is analyzed. The reliable state-feedback controller is developed by a linear matrix inequalities （LMIs） approach, to minimize the upper bound of a quadratic cost fimction under the conditions that all the closed-loop poles be placed in a specified disk, and that the prescribed level of H∞ disturbance attenuation and the upper bound constraints of control inputs＇ magnitudes be guaranteed. Thus, with the above muki-criterion constraints, the resulting closed-loop system can provide satisfactory stability, transient property, a disturbance rejection level and minimized quadratic cost performance despite possible sensor faults. 相似文献
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刘子剑 《常熟理工学院学报》2009,23(10):74-79
研究时滞系统的鲁棒方差约束控制问题．针对带有不确定参数和白噪声干扰的离散时滞系统,设计一类反馈控制器,使通过反馈控制所得到的闭环系统不仅一致渐进稳定,而且系统各状态分量的稳态方差在给定约束范围之内．利用线性矩阵不等式的方法,得出了满足这一反馈控制器的充分条件．给出了一个数值算例,验证了所提出算法的有效性． 相似文献
13.
一类不确定非线性广义时滞系统的鲁棒控制与保性能控制 总被引：1，自引：0，他引：1
研究了不确定非线性结构扰动的广义系统的鲁棒控制和保性能控制问题．目的是分别设计系统的鲁棒控制器和保性能控制器。应用线性矩阵不等式方法,分别给出了系统的鲁棒控制器和保性能控制器存在的充分条件;并在这些条件可解时,分别给出了鲁棒控制器和保性能控制器的表达式。最后用例子说明了所给方法的应用． 相似文献
14.
本文研究了一类具有状态时滞且模型中具有时变参数不确定性网络控制系统的鲁棒控制问题,基于Lya-punov稳定性理论,设计了系统的状态反馈控制器,并以线性矩阵不等式形式给出了系统的渐进稳定的充分条件,可以通过Matlab工具十分方便的求解。 相似文献
15.
文章基于线性矩阵不等式（LMI）方法和Lyapunov稳定性理论,研究参数不确6定算子时滞系统的非脆弱保性能控制问题,提出非脆弱状态反馈保性能控制器的存在条件和设计方法,在此基础上,通过建立和求解一个凸优化问题,给出最优保性能控制律的设计。最后用数值算例说明方法的有效性。 相似文献
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文中针对一类同时具有非线性摄动和强结构不确定参数的时滞系统,利用线性矩阵不等式方法,研究其鲁棒稳定性问题．给出了有记忆状态反馈鲁棒稳定控制律存在的充分条件和具体设计方法,最后用Matalb软件进行实例仿真演示了该方法的有效性． 相似文献
18.
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
19.
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
20.
不确定系统的保性能控制问题[1]引起了人们的极大关注,许多学者作出了积极有效的探讨[2-6].本文针对不确定性满足强结构,且同时带有非线性摄动的时滞系统的保性能控制问题,利用线性矩阵不等式,给出了有记忆状态反馈保性能控制器的设计方法.1问题描述考虑以下状态方程描述的不确 相似文献