具有状态和控制滞后离散系统的容错保成本控制

基于T-S模糊模型,通过无记忆状态反馈研究了一类带有状态和控制滞后的不确定离散时滞系统容错保成本控制问题。应用线性矩阵不等式(LM I)给出系统存在执行器故障时,模糊闭环系统渐近稳定的充分条件,该条件保证了对所有允许的不确定性闭环系统渐近稳定,而且对于给定的二次型成本函数,能保证闭环成本不超过某个界。算例表明该方法是有效的。     

Stability analysis of BAM neural networks with time-varying delays

Some new criteria for the global asymptotic stability of the equilibrium point for the bi-directional associative memory neural networks with time varying delays are presented. The obtained results present the structure of linear matrix inequality which can be solved efficiently. The comparison with some previously reported results in the literature demonstrates that the results in this paper provide one more set of criteria for determining the stability of the bi-directional associative memory neural networks with delays.     

Robust Stability Analysis for Linear Time-delay Systemswith Uncertain Parameters: LMI Approach

1IntroductionDuringthepastfewyears,therobuststabilityproblemoflineartime-delaysystemssubjecttoperturbationshasbeentreatedextensivelyintheliterature.Asaresult,explicitboundsforbothstructuredandunstructuredperturbationshavebeenderived(seeCheresetal.,1991;LuoandVanDenBosch,1997;ninhandAldeen1995;andthereferencestherein).However,inthoseresults,someparametersmustbefirstdeterminedtoobtaintheboundsontheallowableperturbations.Ingeneral,differentselectionapproachesfortheparametersmayresultindifferen…     

不确定离散系统的有限时域鲁棒H∞滤波

研究了一类时变不确定离散系统的有限时域鲁棒H∞滤波问题。在系统不确定性满足范数有界的条件下,给出了有限时域鲁棒H∞滤波器存在的充分必要条件,并基于线性矩阵不等式技术给出了滤波器的构造性的设计方法。得到的滤波器对所有可容许不确定性，满足指定的性能指标。最后给出了仿真实例,仿真结果表明所设计的滤波器实现了设计要求。     

一类线性时滞系统的时滞依赖稳定性研究

针对一类带有参数不确定性的线性时滞系统,研究其时滞依赖稳定性问题。采用改进的Lyapunov-Krasovskii泛函方法给出了线性时滞系统基于线性矩阵不等式的时滞依赖稳定的充分条件,在定理的证明中结合牛顿公式改进了一系列二次型积分不等式,从而有效降低了定理保守性。最后给出2个计算实例,通过与现有方法的比较可以看出本文方法的更加有效,且得到的最大时滞具有更小的保守性。     

基于LMI的船舶主鳍/襟翼鳍鲁棒控制研究

针对随机海浪干扰、未建模动态和模型参数不确定性,建立船舶主鳍/襟翼鳍系统数学模型,基于线性矩阵不等式(LMI)的控制方法,考虑干扰抑制、控制器输出约束和模型不确定性的混合灵敏度问题,应用回路成形方法,设计了控制器,详细地分析设计中的权函数选择和灵敏度函数特性等问题,通过仿真验证了这一方法的可行性,所设计的船舶主鳍/襟翼鳍减摇系统不但可以有效地减小船舶横摇,而且系统具有很好的鲁棒稳定性,同时,满足主鳍/襟翼鳍的鳍角幅值约束条件.     

New results on the robust stability analysis of neural networks with discrete and distributed time delays

Delay-dependent robust stability of cellular neural networks with time-varying discrete and distributed time-varying delays is considered. Based on Lyapunov stability theory and the linear matrix inequality （LMIs） technique, delay-dependent stability criteria are derived in terms of LMIs avoiding bounding certain cross terms, which often leads to conservatism. The effectiveness of the proposed stability criteria and the improvement over the existing results are illustrated in the numerical examples.     

Delay-independent robust guaranteed-cost control for uncertain linear neutral systems

This article concerns the delay-independent guaranteed-cost control problem via memoryless state feedback for a class of neutral-type systems with structural uncertainty and a given quadratic cost function. New delay-independent conditions for the existence of the guaranteed-cost controller are presented in the term of LMIs. An algorithm involving optimization is proposed to design a controller achieving an optimal guaranteed-cost, such that, the system can be stabilized for all admissible uncertainties. A numerical example is provided to illustrate the feasibility of the proposed method.     

跳变时滞随机系统的鲁棒保性能控制

研究了马尔可夫跳变参数时滞随机系统的鲁棒保性能控制问题。通过构造一个Lyapunov函数,并应用Ito微分公式沿系统对其求微分,再利用线性矩阵不等式(LMI)的性质和广义Ito公式,给出了此类系统保性能控制律存在的充分条件,估计了其保性能值,同时,控制器的设计归结为一族LMI的求解问题。最后,数值算例说明了方法的有效性。     

具有非线性等式约束的故障诊断集员滤波器设计

为了解决具有非线性等式约束的故障诊断问题,提出集员滤波器的设计方法,该方法不仅可以对故障程度进行估计,有效检测出故障,还能解决运行系统中要求的100%包含真实最小域的需要,判定出故障类型.首先对非线性等式约束线性化,通过S-过程方法和线性矩阵不等式方法设计集员滤波器;而后用Finsler引理把非约束状态下的集员滤波投射到约束表面,得到状态约束下的集员滤波器;最后运用递归优化算法对集员滤波器进行优化.数值仿真说明了该方法的可行性和有效性.