线性多时变时滞系统的指数稳定性

本文基于一个新型滞后动态系统指数稳定性定理和两个准备引理, 采用 Lyapunov 函数稳定性分析新方法, 建立了线性多时变时滞系统保守性少的稳定性条件. 与文献中已有的一些结果不同, 所建立的稳定性条件不依赖于时变时滞的变化率. 因此, 所建立的结果适用于具有非常快变时滞的系统. 文中给出了一个例子展示所得结果好于直接采用标准的 Razumikhin 型条件所得的结果.     

一阶时滞系统的鲁棒α-稳定性区域分析

主要研究了滞后型一阶时滞系统的鲁棒α-稳定性,即参数在一定区间上任意取值,都能确保系统的平衡点的α-稳定性.给出了两种分析方法,其中一种基于Hayes第二定理,另一种基于LambertW函数.两种方法给出的结果是一致的.最后,几个实例说明了文中方法的有效性.     

一类时滞系统的绝对稳定性问题研究

基于线性矩阵不等式处理方法,研究了一类具有扇形非线性关联的时滞系统绝对稳 定性问题.导出了用一个线性矩阵不等式系统的可行性表示的绝对稳定性滞后依赖型条件,进 而,通过求解一组线性矩阵不等式,给出使得闭环系统绝对稳定的无记忆状态反馈控制律设计 方法,最后用例子验证了文中提出的结果.     

单向耦合FitzHugh-Nagumo神经元的滞后同步研究

本文提出一种新的研究思路,将两个单向耦合的FitzHugh-Nagumo神经元之间的滞后同步视为一种特殊的广义同步,通过辅助系统方法来获得滞后同步发生的条件.首先建立原响应系统的辅助系统,将原系统中驱动系统和响应系统的滞后同步问题转换为响应系统与辅助系统之间的误差系统原点稳定问题.通过拉普拉斯变换方法,将原本用微分方程表示的误差系统等效为Volterra积分方程表示,而后利用积分方程理论中的逐次逼近方法解析地得到原误差系统原点稳定性条件.本文给出的滞后同步判据与信号传送中的时间滞后量大小无关,数值模拟验证了本文提出判据的有效性.     

多滞后连续大系统的鲁棒稳定性分析与遗传算法的应用

本文给出了一种新的用于判定具有多滞后及系统参数扰动线性连续大系统钱棒稳定性的充分条件。同时基于遗传算法技术，给出了这个充分条件在实际工程应用中的实现算法。数字计算结果验证了该算法的可行性和有效性。     

具有时变状态滞后的非线性2-D 离散系统的稳定性与控制

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.     

滞后不确定系统的鲁棒稳定调节器设计

本文对于满足匹配条件的滞后不确定线性系统,鲁里叶问题的非线性系统,基于李亚普诺 夫稳定性定理,推导出状态反馈系统鲁棒稳定的充分条件.通过建立规范的黎卡提代数方程, 给出一种简洁的鲁棒稳定状态调节器的设计方法.     

含噪声系统的双时标自适应控制

本文讨论了含噪声的SISO系统的双时标自适应控制问题,提出了一种不受噪声影响的 直接辨识自适应校正器参数的新算法,并给出了这一系统的稳定性条件.     

滞后动态系统广义指数稳定的充要条件

本语文针对一般的滞后动态系统建立了广义指数稳定性的充分和必要条件，并由所建立的充要条件得出了系统过渡过程的时变指数衰减估计，作为所建结果的应用，基于矩阵工给出了一类滞后动态系统过渡过程的相应指数衰减估计，本文揭示了所建衰减估计可好于那些仅基于充分稳定性条件所得的估计。     

滞后离散线性定常系统的准滑模变结构控制

研究了滞后离散线性定常系统的准滑模变结构控制问题,给出了滞后离散线性定常系 统的准滑模,理想准滑模,非理想准滑模与准滑模带的概念;还给出了实现准滑模的条件.通过 非奇异线性变换,将上述系统化成了简约型,并给出了变结构控制律的设计方案.利用Lyapunov 函数法,证明了系统准滑模的稳定性.     

Observer-based robust stabilization for uncertain systems with unknown time-varying delay

This paper focuses on the problem of robust stabilization for a class of linear systems with uncertain parameters and time varying delays in states. The parameter uncertainty is continuous, time varying, and norm-bounded. The state delay is unknown and time varying. The states of the system are not all measurable and an observer is constructed to estimate the states. If a linear matrix inequality (LMI) is solvable, the gains of the controller and observer can be obtained from the solution of the LMI. The observer and controller are dependent on the size of time delay and on the size of delay derivative. Finally, an example is given to illustrate the effectiveness of the proposed control method.     

Stabilization of input delay constrained systems with delay dependence

The problem of stabilization of input delay constrained systems is considered. Three kinds of feedback stabilizing laws are treated: a state feedback controller, a dynamic controller and an observer controller, respectively. The properties of the matrix measure and the comparison theorem are employed to treat this problem. The results obtained can be used to estimate the size of the delay time t. An example is given to illustrate the proposed controllers     

An optimal control method for linear systems with time delay

An optimal control method for linear systems with time delay is developed in this paper. In the proposed control method, the differential equation with time delay of the system dynamics is first rewritten into a form without any time delay through a particular transformation. Then, the optimal controller is designed by using the classical optimal control theory. A numerical algorithm for control implementation is presented, since the obtained expression of the optimal controller contains an integral term that is not convenient for online calculation. The time delay is considered at the very beginning of the control design, and no approximation and estimation are made in the control system. Thus the system performance and stability are prone to be guaranteed. Instability in responses might occur only if a system with time delay is controlled by the optimal controller that was designed with no consideration of time delay. The effectiveness of the proposed optimal controller is demonstrated by simulation studies.     

时滞系统关于时滞参数的自适应输出反馈控制

对存在状态时滞的线性时滞系统，给出符合分离性原理的动态输出反馈控制器形式，当时滞参数不能精确已知时，给出基于观测器的关于时滞参数的自适应动态输出反馈控制器设计方案，通过求解两个相应的Riccati型矩阵不等式即可求得满足设计要求的动态输出反馈控制器及关于时滞参数的自适应律，且控制器的存在性与时滞参数精确已知时相同．最后给出了一个应用仿真示例．     

Time delay and packet dropout compensation for networked control systems: a linear estimation method

This article studies the problem of H _∞ controller design for networked control systems (NCSs) with time delay and packet dropout. A linear estimation-based time delay and packet dropout compensation method is proposed. The delay switching-based method is presented to deal with the variation of time delay, and H _∞ controller design is presented for NCSs with packet dropout compensation by using linear matrix inequality (LMI)-based method. Then the combined delay switching and parameter uncertainty-based method is presented to model the variation of time delay, and H _∞ controller design is also presented. The simulation results illustrate the effectiveness of the newly proposed linear estimation-based time delay and packet dropout compensation.     

一种网络控制系统时延补偿方法

本文分析介绍了具有随机时延网络控制系统控制器设计及时延补偿方法,采用广义预测控制(GPC)算法设计控制器。针对输出时延通过对时间加上时间戳来估算时间延迟,并采用状态观测器进行时延补偿,而控制时延则采用队列机制,增加缓存器的方法来保证被控对象获得最优控制信号。通过仿真证实该方法的有效性。     

时滞控制及其应用

时滞控制研究的是如何有意识地、合理地在控制器中引入时滞来改善控制系统的性能, 主要由时滞滤波、时滞观测、时滞学习控制三个分支组成. 时滞滤波器利用时滞来滤除按指数衰减的正弦信号, 主要应用于抑制柔性机构的残留颤抖; 时滞观测器利用时滞来观测系统存在的不确定性以及受到的外部干扰, 从而实现系统的鲁棒控制; 时滞学习控制器利用时滞来学习任意周期的周期信号, 实现对任意周期信号的无差跟踪. 系统地提出了时滞控制的概念, 阐明了时滞控制的研究目的和主要研究内容, 综述了时滞控制的研究现状、应用实例, 并提出了一些值得深入研究的问题.     

Robust model predictive control of integrating time delay processes

This work focuses on the solution to the problem of model predictive control of time delay processes with both integrating and stable modes and model uncertainty. The controller is developed for the practical case of zone control and input target tracking. The method is based on a state-space model that is equivalent to the analytical form of the step response model corresponding to the system transfer function. Here, this model is extended to the time delay system. The proposed controller is evaluated through simulation of the of two control reactor systems and the results confirms the robustness of the proposed approach.     

Smith predictor with inverted decoupling for square multivariable time delay systems

This paper presents a new methodology to design multivariable Smith predictor for n×n processes with multiple time delays based on the centralised inverted decoupling structure. The controller elements are calculated in order to achieve good reference tracking and decoupling response. Independent of the system size, very simple general expressions for the controller elements are obtained. The realisability conditions are provided and the particular case of processes with all of its elements as first-order plus time delay systems is discussed in more detail. A diagonal filter is added to the proposed control structure in order to improve the disturbance rejection without modifying the nominal set-point response and to obtain a stable output prediction in unstable plants. The effectiveness of the method is illustrated through different simulation examples in comparison with other works.     

Optimal dead-time compensator design for stable and integrating processes with time delay

Recently, a modified Smith predictor with a prefilter has been proposed for first-order stable and integrating processes with time delay. The paper is a further investigation on the empirical method. In this paper, an optimal design procedure is developed for the scheme. With respect to the proposed controller and corresponding processes with time delay, the closed-loop time domain responses are estimated quantitatively. The robustness of the closed-loop system is analyzed. Finally, a simple tuning rule is proposed, which allows to tune the controller for desired time domain properties such as overshoot and rise time, or frequency domain criteria such as stability margin and bandwidth.