共查询到19条相似文献,搜索用时 353 毫秒
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针对一类状态矩阵和控制矩阵存在参数不确定性关联大系统,研究其分散鲁棒H∞输出反馈控制问题。基于有界实引理将其鲁棒分散H∞动态输出反馈控制器的解归结为一个非线性矩阵不等式(NLMI),采用同伦迭代算法求解该控制器,使大系统鲁棒稳定,并且满足给定的H∞性能指标。 相似文献
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基于Lyapunov稳定性理论,研究一类同时具有状态非线性不确定和线性不确定时变时滞系统的鲁棒控制器的设计问题。在非线性不确定性满足增益有界条件下,得到该类时变时滞系统依赖于时变延迟导数的最大值的满足鲁棒H∞性能的一个充分条件。通过求解一个线性矩阵不等式-LMI,即可获得鲁棒H∞控制器。给出的两个具体算例说明该方法的有效性。 相似文献
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广义不确定周期时变系统的鲁棒稳定性分析 总被引:4,自引:0,他引:4
研究广义不确定周期时变系统的鲁棒稳定性问题.基于广义周期时变系统Lyapunov不等式,提出了广义不确定周期时变系统鲁棒稳定的概念,采用矩阵不等式(LMI)方法,得到了该类系统鲁棒稳定的充分必要条件;然后,进一步研究了在状态反馈控制下保证闭环系统鲁棒稳定的条件,给出了一族状态反馈鲁棒稳定器的设计方法;最后,引入了广义周期时变系统二次稳定的概念,并讨论了二次稳定性与鲁棒稳定性之间的关系. 相似文献
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针对不确定广义线性时变系统,采用矩阵不等式的分析方法,提出不确定广义线性时变系统鲁棒稳定和二次稳定的概念.建立该类系统的矩阵不等式,将该类系统的鲁棒控制问题转化为求解矩阵不等式问题,得到该类系统鲁棒稳定和二次稳定的充分必要条件,并给出一种状态反馈鲁棒镇定控制器的设计方法.最后,通过数值算例表明了所提出方法的可行性. 相似文献
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本文研究了离散时滞Lur’e系统的绝对稳定性和鲁棒绝对稳定性问题,包含时变时滞和扇形有界约束的非线性.首先,构造了新颖的李雅普诺夫-克拉索夫斯基泛函(Lyapunov-Krasovskii functional, LKF),其中,为了增补时变时滞区间和其他系统状态变量之间的耦合信息, LKF中扩充了一些重要的向量.其次,结合改进的基于自由权重矩阵求和不等式技巧,推导了一些比已有结论保守性更低的绝对和鲁棒绝对稳定性判据.稳定性判据保守性的减小主要归功于改进的LKF和求和不等式技巧.最后,通过几个文献中常用的数值算例的求解仿真来说明本文判据的有效性和先进性. 相似文献
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一类非线性不确定时滞系统的鲁棒H∞控制 总被引:8,自引:0,他引:8
基于稳定性理论,研究了一类具有状态非线性不确定性的线性时变时滞系统的鲁棒控制器的设计问题.在非线性不确定性满足增益有界条件下,得到了该类时变时滞系统依赖于时变延迟导数的最大值的满足鲁棒性能的一个充分条件.通过求解一个线性矩阵不等式(LMI),即可获得鲁棒H∞控制器.给出的两个具体算例说明了该方法的有效性. 相似文献
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研究了积分二次约束下不确定系统的鲁棒控制器设计问题. 通过将控制器的Youla参数化方法与鲁棒稳定性频域判据相结合, 将鲁棒控制器设计问题转化为RH∞空间的凸可行性问题, 进而将该问题转化为求解频域线性矩阵不等式的可行解问题. 在此基础上, 利用有理函数矩阵边界插值方法求得鲁棒控制器. 相似文献
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研究了一类不确定中立型变时滞系统的鲁棒稳定性问题。不确定性满足范数有界条件且时变。基于Lyapunov和自由权矩阵的方法,得到了系统的鲁棒稳定性判据,并表示成线性矩阵不等式的形式。最后,仿真结果表明本结论比一些现存的结果有了重要提高。 相似文献
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Zhang Qingjie Niu Yifeng Wang Lin Shen Lincheng Zhu Huayong 《International Journal of Control, Automation and Systems》2011,9(6):1209-1218
The average consensus problem of high-order multi-agent systems with multiple time-varying communication delays is investigated
in this paper. By using the idea of state decomposition, the condition for guaranteeing average consensus is converted into
verifying the stability of zero equilibrium of disagreement system. Considering multiple time-varying communication delays,
Lyapunov-Krasovskii approach in time-domain is employed to analyze the stability of zero equilibrium. With the help of Free-weighting
Matrices (FWM) approach, the tolerant upper bounds on communication delays can be obtained through solving feasible linear
matrix inequalities (LMIs). Delay-dependent stability criteria for both strongly-connected fixed and switching topologies
are provided in the main results. Further, the conclusion is extended to the case of jointly-connected switching topologies.
Numerical examples and simulation results are given to demonstrate the effectiveness and the benefit on reducing conservativeness
of the proposed method. 相似文献
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研究存在参数不确定性的高阶离散时间多智能体系统在时延和联合连通切换通信拓扑条件下的鲁棒保性能一致性问题,给出一种线性一致性协议的设计方法.1)引入高阶离散时间不确定多智能体系统的鲁棒保性能一致性问题,定义基于智能体邻居状态误差和控制输入的保性能函数;2)通过构造合适的Lyapunov函数并利用离散时间系统稳定性理论,推导出一个使高阶离散时间不确定多智能体系统在该条件下获得保性能一致性的线性矩阵不等式(Linear matrix inequality,LMI)充分条件,并给出相应的保性能上界;3)以一致性序列的形式给出参数不确定条件下的高阶离散时间多智能体系统的一致性收敛结果;4)数值仿真验证了本文理论的正确性和有效性. 相似文献
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研究带有不确定性拓扑的双积分系统在有时滞的情况下的一致性问题,通过线性矩阵不等式的方法,得到一致性的充分条件。本文最大的贡献是考虑双积分系统,在有不确定性信息和时变时滞的情况下,找出控制协议使其一致。最大合适的时变时滞和不确定性可以由线性矩阵不等式得到。最后给出仿真,证明定理的有效性。 相似文献
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考虑一类由局部状态空间Fornasini-Marchesini(FM LSS)第二模型描述的,具有时变状态滞后非线性二维(2-D)离散系统的稳定性分析和控制问题.时变状态滞后项的上、下界为正整数,非线性项满足Lipschitz条件.首先,通过引入一个含有时滞上、下界的新Lyapunov函数,给出了系统的稳定性准则;然后设计了状态反馈控制器以保证系统的稳定性,进而,状态反馈控制律可由线性矩阵不等式求得;最后通过数值算例表明了所得结果的有效性. 相似文献
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This paper investigates the problem of robust exponential stability for neutral systems with time-varying delays and nonlinear perturbations. Based on a novel Lyapunov functional approach and linear matrix inequality technique, a new delay-dependent stability condition is derived. Since the model transformation and bounding techniques for cross terms are avoided, the criteria proposed in this paper are less conservative than some previous approaches by using the free-weighting matrices. One numerical example is presented to illustrate the effectiveness of the proposed results. 相似文献
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研究了一类由一阶和二阶智能体组成的异质多智能体系统的组一致性问题.首先,在多时变时延异质系统中设计了实现静态组一致的控制算法;其次,运用稳定性理论和线性矩阵不等式,分别给出了无时延、同时具有通信与输入时延的异质多智能体系统实现组一致性的充分条件;再次,通过求解一组可行的线性矩阵不等式,得到了输入时延的容许上界,并得出了通信时延与异质多智能体系统的组一致性无关的结论;最后,仿真结果验证了理论结果的有效性. 相似文献
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Guoquan Liu Simon X. Yang Yi Chai Wei Feng Wei Fu 《Neural computing & applications》2013,22(2):349-359
This paper deals with the robust stability problem of uncertain stochastic neural networks of neutral-type with interval time-varying delays. The uncertainties under consideration are norm-bounded, and the delay is assumed to be time-varying and belongs to a given interval. By using the Lyapunov-Krasovskill functional method and the linear matrix inequality (LMI) technique, the novel stability criteria are derived in terms of LMI. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed criteria. 相似文献
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This paper addresses the issue of robust reliable stabilization for a class of uncertain nonlinear stochastic systems with both discrete and distributed time-varying delays and possible occurrence of actuator faults. By constructing a new Lyapunov functional and using linear matrix inequality technique, a new set of sufficient conditions is established for the stochastic stability of the uncertain nonlinear stochastic systems. Then, sufficient conditions are obtained for the solvability of the robust stabilization problem via robust reliable controller. More precisely, the derived control law guarantees the robust stabilization of nonlinear stochastic systems in the presence of known actuator failure matrix and uncertainties. Further, the results are extended to study the stabilization of stochastic systems with unknown actuator failure matrix. Moreover, the obtained criteria are formulated in terms of LMIs and also the reliable controller can be designed in terms of the solutions to certain linear matrix inequalities. Finally, numerical examples with simulation result are presented to demonstrate the validity and less conservatism of the obtained results. 相似文献