若干类时滞切换系统的稳定性问题

主要研究了镇定切换系统的鲁棒稳定性问题.用切换lyapunov函数方法,通过定义指标函数,讨论了基于切换lyapunov函数的若干类时滞切换系统的稳定性问题,用矩阵不等式研究了时滞,时滞摄动和不确定时滞的切换系统的鲁棒稳定性.     

一类非线性时滞系统与时滞相关的H_∞控制

考虑一类非线性时滞系统的H∞控制.并对非线性项给出了一个新假设,在其假设下利用线性矩阵不等式方法得到了与时滞相关的H∞控制,同时也得到了该类非线性时滞系统鲁棒镇定的充分条件.     

具有时滞的不确定离散时间系统时滞相关鲁棒镇定(英文)

基于状态观测器的设计,研究了不确定多时滞离散系统的鲁棒镇定问题,基于比较原理和不等式方法,给出了一个时滞相关鲁棒镇定条件。     

具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定

本文研究了具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定的问题.构造了适当的Lyapunov-Krasovskii泛函并利用自由权矩阵方法,借助于线性矩阵不等式(LMI)技术,设计了一个无记忆状态反馈控制器,并获得了不确定随机时变时滞系统的时滞依赖鲁棒镇定判据.数值例子及其仿真曲线表明所提出的理论结果是有效的.     

一类离散不确定线性时滞系统的鲁棒镇定

研究具有时变不确定参数的离散线性时滞系统的鲁棒控制问题,其中不确定性满足匹配条件,利用Ｌｙａｐｕｎｏｖ确定性理论,提出了鲁棒稳定性控制器一种新的设计方法,得到了这类离散不确定线性时滞系统可鲁棒镇定的充分条件。     

具有非线性扰动的不确定多个变时滞系统的有记忆非脆弱状态反馈控制（英文）

本文研究不确定非线性多时滞系统的非脆弱鲁棒镇定问题.状态和输入矩阵中的参数不确定性假设是范数有界.延迟是未知的,但随时间变化范围是已知的.对所有容许的参数不确定性,非脆弱鲁棒镇定问题是设计一个记忆脆弱的状态反馈控制器使得闭环系统是鲁棒稳定.利用Lyapunov泛函和自由权矩阵方法,以线性矩阵不等式(LMI)的的形式,得到时滞依赖充分镇定判据.数值例子说明所提出的理论结果的有效性.     

分布时滞系统的动态输出反馈鲁棒稳定

主要研究了一类具分布时变时滞不确定系统的输出反馈鲁棒稳定问题.基于动态输出反馈和Lyapunov-Krasovskii泛函,给出了闭环系统与时滞相关的鲁棒稳定的条件.所得条件为线性矩阵不等式形式,便于运用内点算法进行求解.     

非线性随机时滞系统的时滞反馈鲁棒H∞控制

本文研究了具有变时滞的非线性随机时滞系统的时滞反馈鲁棒H∞控制问题.利用时滞分割技术,构造了新的Lyapunov-Krasovskii泛函,通过Ito公式,以线性矩阵不等式(LMI)的形式给出了时滞反馈鲁棒H∞控制器存在的充分条件,通过数值仿真算例说明了结论的正确性和方法的有效性.     

一类具有状态及控制滞后的不确定系统的时滞相关鲁棒H∞控制

讨论了一类同时具有状态时滞与输入时滞的不确定系统的时滞相关鲁棒H∞控制问题．借助于积分不等式，用线性矩阵不等式方法获得了系统时滞相关与时滞导数相关的鲁棒H∞控制器的设计方法．不需要对原系统进行模型变换．     

具有非线性扰动的线性多时变时滞系统的鲁棒稳定性

采用了一类新型积分等式,研究了具有非线性扰动的线性多时变时滞系统的时滞相关鲁棒稳定性问题,并推广得到一般的时滞相关－时滞变化率无关的鲁棒稳定性条件.数值实例表明,稳定性条件的保守性也有所减少.     

Linear Matrix Inequality Approach to New Delay-Dependent Stability Criteria for Uncertain Dynamic Systems with Time-Varying Delays

In this paper, the problem of delay-dependent stability for uncertain dynamic systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. Using a new augmented Lyapunov functional, novel delay-dependent stability criteria for such systems are established in terms of LMIs (linear matrix inequalities), which can be solved easily by the application of convex optimization algorithms. Three numerical examples are given to show the superiority of the proposed method.     

A new augmented Lyapunov-Krasovskii functional approach for stability of linear systems with time-varying delays

This paper proposes improved delay-dependent conditions for asymptotic stability of linear systems with time-varying delays. The proposed method employs a suitable Lyapunov-Krasovskii’s functional for new augmented system. Based on Lyapunov method, delay-dependent stability criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various optimization algorithms. Three numerical examples are included to show that the proposed method is effective and can provide less conservative results.     

时滞依赖型中立系统的鲁棒稳定性分析

研究了一类不确定中立型系统的时滞依赖稳定性问题.利用基于LMI正定解的存在性,给出了一个新时滞依赖型稳定性判据,相比于已有文献本文具有低的保守性.最后通过数值算例验证了本文得到的结论的正确性和有效性.     

具有非线性扰动的中立型系统的时滞相关稳定性

本研究了具有非线性扰动的中立型系统鲁棒稳定的时滞相关准则。基于LMI方法，并利用S—过程获得了依赖于时滞的鲁棒稳定性准则，所得结果优于已有结论。最后给出一个实例说明本方法的有效性。     

A novel approach on stabilization for linear systems with time-varying input delay

This paper presents new results on delay-dependent stability and stabilization for linear systems with interval time-varying delays. Some less conservative delay-dependent criteria for determining the stability of the time-delay systems are obtained in this paper. Based on the stability conditions, we propose a new state transformation technology to facilitate controller designing efficiently and computationally. The method is also applicable to the existing stability conditions reported by now, while the existing technologies may fail to derive computational control procedures from the stability conditions. Finally, some numerical examples well illustrate the effectiveness of the proposed method.     

基于改进型Bessel-Legendre不等式的电力系统时滞相关鲁棒稳定性研究

基于改进型Bessel-Legendre不等式方法,探讨了电力系统时滞相关鲁棒稳定性问题.首先构建了含有时滞环节的电力系统数学模型表达式,并推广出其含有不确定参数的模型表达式,通过应用时滞系统理论分析方法,有效地处理了泛函导数中的积分项,从而推导出了一个具有更小保守性的电力系统时滞相关鲁棒稳定新判据.通过三个数值实例对仿真结果进行了对比与验证,结果表明推导出的新判据具有有效性与优越性.     

Improved stability and H∞ performance for neutral systems with uncertain Markovian jump

This paper addresses the problem of the delay-dependent stability and $H\infty$ performance for neutral systems with uncertain Markovian jump; the uncertainty of Markovian jump refers to the partial information on transition probability. In order to highlight the methods for the analysis of the systems, the neutral delay is assumed same as discrete delay. By the novel constructed Lyapunov functional, combining with the delay decomposition technique and free matrices, and using the new inequality rather than the Jensen inequality, the delay-dependent stability conditions are firstly obtained for the two kinds of neutral dynamical systems. Based on the stability condition, the $H\infty$ performance result for the systems with Markovian jump is secondly provided. All of the delay-dependent stabilization results are formulated in terms of LMIs, which can be easily checked by the LMI control toolbox in Matlab. Finally, two numerical examples are given to show the validity and potential of the developed criteria.     

中立型Lurie控制系统的时滞相关鲁棒绝对稳定性判据

本文讨论了具有时滞控制的中立型Lurie控制系统的与时滞相关鲁棒绝对稳定性问题.其方法是Lyapunov泛函方法,在处理V函数的导数时,没有进行放大估计,而通过引入一些恰当的0项,构造多个LMI，从而获得基于多个LMI的时滞相关稳定的充分条件和鲁棒绝对稳定的充分条件.最后用数值例子说明其所得结论的有效性．     

Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays

This paper considers the asymptotic stability of linear multistep (LM) methods for neutral systems with distributed delays. In particular, several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument principle. Compound quadrature formulae are used to compute the integrals. An algorithm is proposed to examine the delay-dependent stability of numerical solutions. Several numerical examples are performed to verify the theoretical results.     

New filter design for linear time-delay systems

This paper develops new robust delay-dependent filter design for a class of linear systems with time-varying delays and convex-bounded parameter uncertainties. The design procedure hinges upon the constructive use of an appropriate Lyapunov functional plus a free-weighting matrices in order to exhibit the delay-dependent dynamics. The developed approach utilizes smaller number of LMI decision variables thereby leading to less conservative solutions to the delay-dependent stability and filtering problems. Subsequently, linear matrix inequalities (LMIs)-based conditions are characterized such that the linear delay system is robustly asymptotically stable with an γ-level L₂-gain. All the developed results are tested on representative examples.