量化状态反馈网络化系统的稳定性分析

针对网络控制系统（Networked Control System,NCS）中普遍存在的有限带宽和信息量化问题,采用基于模型的控制策略,研究了量化状态反馈下一类网络控制系统的稳定性。分析了量化误差、更新时间、模型误差对系统稳定性的影响,并给出了系统模型状态、对象状态的稳定域范围。仿真结果表明了结论的正确性。     

量化状态反馈网络化系统的稳定性分析

针对网络控制系统(Networked Control System,NCS)中普遍存在的有限带宽和信息量化问题,采用基于模型的控制策略,研究了量化状态反馈下一类网络控制系统的稳定性.分析了量化误差、更新时间、模型误差对系统稳定性的影响,并给出了系统模型状态、对象状态的稳定域范围.仿真结果表明了结论的正确性.     

非线性组合系统基于状态观测器的分散镇定

讨论了一类非线性相似组合系统的基于估计状态反馈的分散控制问题。构造了非线性渐近状态观测器,并证明了状态误差按指数收敛到零。同时,给出了组合系统经估计状态向量的反馈控制可实现分散镇定的一个充分条件。     

一类混沌系统的量化同步

针对信息受限的条件,研究了一类连续混沌系统的同步问题.通过一个有限容量的信道,将具有混沌形式的驱动系统和基于观测器的响应系统连接.在这种情况下,设计了有效的量化方法使得同步误差关于传输误差是输入状态稳定(ISS),同时保证传输误差是指数衰减的.从而使得混沌同步误差在信道容量有限条件下渐近趋于零.最后通过数值例子说明了本文方法的有效性.     

关于双线性系统状态观测器及其反馈控制的稳定性

本文首先讨论了一类有界输入双线性系统状态观测器的渐近稳定性,然后给出了采用稳定的状态反馈法则,利用观测器状态进行反馈控制时,闭环系统是渐近稳定的一个充分条件。     

基于滤波器的浸入与不变自适应控制

针对机电伺服系统存在参数不确定、未建模动态及时变扰动这一问题,提出一种基于滤波器的浸入与不变自适应算法,该算法能够准确估计伺服系统中的未知参数.首先,构造系统状态及回归函数的滤波器,再根据滤波后的辅助变量构造参数估计器;然后,依据浸入与不变理论设计参数估计器中的辅助函数,从而保证参数估计误差的收敛性.此外,为了进一步降低集总扰动对系统闭环性能的影响,提出一种扰动观测器,这种扰动观测器结构简单,并且能保证估计误差的渐近稳定,从而有效地补偿系统中的未建模动态和外部扰动.最后,利用Lyapunov理论分别证明了参数估计器、扰动观测器及闭环系统的稳定性,仿真与实验结果验证了所提出的自适应方法及扰动观测器的有效性.     

基于动态Lloyd-Max量化的网络化系统实时状态估计

针对网络化线性动态系统的实时状态估计,采用均方误差(MSE)作为性能准则,研究了最优实时量化与估计结构和具体实现方案。根据估计-量化分离原理,优化问题可以等效转换为一阶高斯-马尔可夫信源的最优量化与重构问题,分析了最优实时量化与估计的等效结构形式。基于向量Lloyd-Max量化原理和量化信源预测分布的高斯近似,设计了递推形式的动态Lloyd-Max量化与估计(DLMQE)实现方案,其中采用双边同步器利用发送端和接收端的共有信息实现编码与解码操作的同步,并导出了最优实时估计和误差协方差阵的解析形式。仿真结果表明,所提出的DLMQE方案估计性能优于现有的量化卡尔曼滤波器(QKF),且即使对于较低量化比特率的区域,DLMQE算法依然有效。     

基于状态观测器的单相逆变电源控制技术研究

基于单相逆变电源的数学模型，设计了能保证系统渐进稳定的控制率，同时利用观测器观测控制率中的部分状态变量。在理论分析的基础上进行了实验研究。实验结果验证了控制方法的有效性。     

基于状态观测器的单相逆变电源仿真技术研究

基于单相逆变电源的数学模型,设计了一种能保证系统渐进稳定的控制方案。方案根据李氏稳定理论进行设计,并利用观测器观测控制律中的状态变量,同时采用滤波器对原始参考输出信号进行处理,用以产生控制律所需的连续光滑的输出信号及其微分量,设计保证了系统的稳定性及输出电压跟踪误差的收敛性。利用仿真工具MATLAB/SIMULINK对所设计的方案进行仿真,仿真结果验证上述方案的正确性。     

具输入信号的非线性系统的稳定性

考虑了具有缓变输入信号的非线性动力系统的一类平衡点集合的稳定性. 采用不同于相应文献的分析技巧, 充分利用非线性系统右端项提供的信息, 在较相应文献输入信号更弱的假设下, 得到了由输入信号产生的轨线充分接近系统相应解的一些充分条件, 放宽了该类控制系统设计中对输入信号的限制. 并举实例说明结论的有效性.     

一类不确定大系统的状态量化分散反馈镇定控制器设计ˇ

针对一类具有时变互联的不确定性组合火系统,利用具有可调参数的量化器传输系统状态信息,设计了状态量化分散控制器.这种分散控制器依据量化器参数的更新律,能够保证将大系统的状态渐近趋于坐标原点的任意一个事先给定的小邻域内.     

状态饱和离散线性系统的稳定性分析

讨论一类具有状态饱和非线性的离散线性系统稳定性分析问题. 通过引入无穷范数小于等于1 的自由矩阵与对角元素非正的对角矩阵, 将状态饱和离散线性系统的状态变量约束在一个凸多面体内, 进而以矩阵不等式形式给出状态饱和离散线性系统的稳定性判据, 并给出该矩阵不等式的迭代线性矩阵不等式算法. 基于这一稳定性判据, 给出了基于迭代线性矩阵不等式的状态反馈控制律设计算法. 通过状态饱和离散线性系统的状态空间分割方法, 给 出了保守性更小的稳定性判据, 并给出了相应的迭代线性矩阵不等式算法. 数值例子验证了所给出方法的正确性与有效性.

     

Stability analysis of networked control systems subject to packet-dropouts and finite-level quantization

This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a digital channel subject to packet-dropouts and finite-level quantization. No acknowledgments of receipt are available to the controller. To alleviate the effect of packet-dropouts, the controller transmits tentative plant input sequences. Within this setup, we derive a sufficient condition for small ?^∞ signal ?^∞ stability of the networked control system. This condition requires the maximum number of consecutive packet-dropouts to be bounded. We also elucidate the trade-off which exists between the disturbance attenuation and the step size of the quantizer and the maximum number of consecutive packet-dropouts.     

基于信号量化处理的随机时滞网络化系统的分析与设计

研究一类时滞分布依赖的网络化系统的量化控制问题.首先,在考虑信号量化处理的影响下,建立包含时延区间概率分布信息和信号量化信息的新的网络化系统模型;然后,运用Lyapunov稳定性理论、矩阵函数的凸性、自由权技术和Jessen不等式等分析方法给出系统渐近稳定和镇定的条件;最后,运用线性矩阵不等式（LMI）技术求解量化控制器.仿真结果和横向比较结果验证了所述方法的有效性.     

Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

This paper studies the problem of quantized output feedback stabilization for a disturbed discrete‐time switched system. With the quantized output measurement, an extended state current estimator is constructed to estimate the state and disturbance. In the presence of switches and disturbances, the design of quantization scheme becomes a big challenge to avoid the quantizer saturation and guarantee the control precision. In this setup, the well‐applied time‐triggered method to design the update policy of dynamic quantization parameter is hard to implement. We solve the above problem by proposing a novel event‐triggered update policy of quantization parameter, by which the quantizer update is adaptive to the switching signal and the bound of disturbance difference. Consequently, the quantizer saturation is avoided and, combined with the designed dwell‐time switching law, the system state can converge to the origin. The proposed method is illustrated by a numerical example.     

Stability analysis for delta operator systems subject to state saturation

In this paper, we investigate the problem of stability analysis for linear delta operator systems subject to state saturation. Both full state saturation and partial state saturation are investigated for the delta operator systems. Two equivalent necessary and sufficient conditions are identified such that the system with full state saturation is globally asymptotically stable. Based on the sufficient conditions, an iterative algorithm is proposed for testing global asymptotic stability of the system with full state saturation. A new globally asymptotically stable condition is also proposed for the partial state saturation system. Two numerical examples on a ball and beam model are given to show the effectiveness of the proposed method.     

Sampling‐interval‐dependent stability for sampled‐data systems with state quantization

This paper is concerned with the stability of sampled‐data systems with state quantization. A new piecewise differentiable Lyapunov functional is first constructed by fully utilizing information about sampling instants. This functional has two features: one is that it is of the second order in time t and of every term being dependent on time t explicitly and the other is that it is discontinuous and is only required to be definite positive at sampling instants. Then, on the basis of this piecewise differentiable Lyapunov functional, a sampling‐interval‐dependent exponential stability criterion is derived by applying the technique of a convex quadratic function with respect to the time t to check the negative definiteness for the derivative of the piecewise differentiable Lyapunov functional. In the case of no quantization, a new sampling‐interval‐dependent stability criterion is also obtained. It is shown that the new stability criterion is less conservative than some existing one in the literature. Finally, two examples are given to illustrate the effectiveness of the stability criterion. Copyright © 2013 John Wiley & Sons, Ltd.     

Stability analysis of distributed-order nonlinear dynamic systems

The problem of asymptotic stability analysis of equilibrium points in nonlinear distributed-order dynamic systems with non-negative weight functions is considered in this paper. The Lyapunov direct method is extended to be used for this stability analysis. To this end, at first, a discretisation scheme with convergence property is introduced for distributed-order dynamic systems. Then, on the basis of this tool, Lyapunov theorems are proved for asymptotic stability analysis of equilibrium points in distributed-order systems. As the order weight function assumed for the distributed-order systems is general enough, the results are applicable to a wide range of nonlinear distributed-order systems such as fractional-order systems with multiple fractional derivatives. To verify the applicability of the obtained results, these results are applied for the stability analysis of a distributed-order diffusion system and control of a fractional-order Lorenz system with multiple fractional derivatives.