Stability analysis of networked control systems with time-varying sampling periods

In this paper, we present an interval model of networked control systems with time-varying sampling periods and time-varying network-induced delays and discuss the problem of stability of networked control systems using Lyapunov stability theory. A sufficient stability condition is obtained by solving a set of linear matrix inequalities. In the end, the illustrative example demonstrates the correctness and effectiveness of the proposed approach.     

On delay-derivative-dependent stability of systems with fast-varying delays

Stability of linear systems with uncertain bounded time-varying delays is studied under the assumption that the nominal delay values are not equal to zero. An input-output approach to stability of such systems is known to be based on the bound of the L₂-norm of a certain integral operator. There exists a bound on this operator norm in two cases: in the case where the delay derivative is not greater than 1 and in the case without any constraints on the delay derivative. In the present note we fill the gap between the two cases by deriving a tight operator bound which is an increasing and continuous function of the delay derivative upper bound d?1. For d→∞ the new bound corresponds to the second case and improves the existing bound. As a result, for the first time, delay-derivative-dependent frequency domain and time domain stability criteria are derived for systems with the delay derivative greater than 1.     

非线性时变时滞FAST TCP系统低保守全局稳定性

研究了非线性、时变时滞的快速传输控制协议(FAST TCP)系统的全局稳定性. 首先, 利用其时滞变化与源端发送窗口变化成比例关系和其非线性函数是严格单调递减函数这两个特性, 计算每个振荡周期的解轨迹界, 建立计算轨迹界的改进型迭代公式, 得到了比已有结论更低保守的全局稳定性条件. 最后, 通过网络模拟器2(NS-2)仿真实例验证了改进的全局稳定性条件的有效性.     

一种大时滞系统的无模型自适应控制改进算法

利用无模型自适应控制（Model—freeadaptive control,MFAC）方法仅需要被控对象输入和输出数据,而不需要其他任何信息的优点。针对工业生产过程中普遍存在的大时问滞后的特点,提出针对未知模型的大时滞对象的无模型自适应控制改进算法（Improved MFAC on Large Time—delay System,LTDS-IMFAC）。在改进算法中,在基本无模型自适应控制算法的基础上引入了带有滞后时间的输入变化率的约束项．以此来减小大时间滞后对整个控制过程的影响。通过MATLAB仿真试验证明了改进算法对于大时滞系统的控制具有较好的有效性。     

时滞离散广义不确定系统的变结构控制

研究了一类线性离散时滞广义不确定系统的变结构控制的综合与设计问题.首先引入了一种新的受限系统等价分解形式,把所给的系统分解成两个低维的不确定子系统.其次,在上述分解的基础上,根据离散时滞广义系统鲁棒稳定性的有关结果,设计了带有差分补偿器的切换函数,使得系统在准切换流形上的运动渐近稳定.然后设计了离散变结构控制律,使得在此控制律的作用下,系统的运动轨迹要么在有限步内到达准切换流形并在其上渐近滑向原点;要么在有限步内进入准切换流形的一个较小的邻域内并稳定于原点附近的某个小的抖振.最后，给出了两个数值例子以说明该综合设计方法的有效性与实用性.     

不确定时滞系统基于观测器的鲁棒控制器设计

研究了不确定线性时滞系统的状态观测器和基于观测器的鲁棒控制器设计问题，其中不确定性是时变的，通过构造增广系统，利用线性矩阵不等式方法，获得了该不确定系统存在状态观测器和基于观测器的鲁棒控制器的充分条件，同时给出了相应的状态观测器和基于观测器的鲁棒控制器，所给示例说明了本文方法的设计步骤和有效性。     

Delay-dependent observer-based stabilizing controller design for linear multiple state-delayed systems

This article concerns a coupled LMIs approach to delay-dependent observer-based output feedback stabilizing controller design for linear continuous-time systems with multiple state delays. The advantage of our proposed delay-dependent coupled LMIs criterion lies in that: (1) it can optimize one of multiple time delays with others selected properly, and at the same time, the feedback-gain and observer-gain can be obtained, respectively. (2) it is less conservative than the existing delay-independent ones in the literature. Algorithm to solve the coupled LMIs is also given. Numerical examples illustrate the effectiveness of our method.     

Stability of perturbed systems with time-varying delays

This paper gives easily verifiable sufficient conditions of robust asymptotic stability of linear time-delay systems subject to parametric unstructured or highly-structured perturbations. The criteria given in this paper are delay-independent or delay-dependent. The considered delay may be time-varying. An estimation of the transient behaviour of the studied systems is also provided (exponential rate of convergence).Scalar or vectorial inequalities involving Hurwitz matrices, matrix measures and norms constitute the mathematical foundations of the exposed results.     

时滞系统的降维状态预测观测器及预测控制器设计

研究控制项含有时滞的线性系统的预测控制问题.利用被控对象的预测输出向量和系统的控制向量,设计了一种降维状态预测观测器,并将该状态观测器用于时滞控制系统的最优状态反馈控制中.利用该状态预测观测器可将闭环系统的时滞项移至系统闭环结构之外,从而最优控制规律完全可以按无时滞系统进行设计.由性能指标计算公式表明,该预测控制器关于二次型性能指标是次优的.     

网络控制系统中基于时延辨识的模糊控制器研究

针对网络控制问题，建立包含变网络时延及网络传输丢包等的统一模型．提出基于允许误差阈值及最大时延等多重准则的网络调度算法．在被控对象模型已知的情况下，本文采用模糊控制器作为Smith控制的内模控制部分，同时将Smith预估环节与被控对象放在一处，减少了冗余信息的传输，补偿了网络时延．仿真结果说明该调度算法及控制方案对于模型精确已知的一类网络控制对象能取得较好的控制效果．