H∞ filtering for piecewise homogeneous Markovian jump nonlinear systems

This paper concerns the problem of H_∞ filtering for piecewise homogeneous Markovian jump nonlinear systems. Different from the existing studies in the literatures, the existence of variations in transition rates for Markovian jump nonlinear systems is considered. The purpose of the paper is to design mode-dependent and mode-independent filters, such that the dynamics of the filtering errors are stochastic integral input-to-state stable with H_∞ performance index. Using the linear matrix inequality method and the Lyapunov functional method, sufficient conditions for the solution to the H_∞ filtering problem are derived. Finally, three examples are proposed to illustrate the effectiveness of the given theoretical results.     

跳变系统在给定时间内的有限频段H∞控制

本文针对特定频段的干扰信号,为多模态跳变系统设计给定时间控制器,在给定时间内设法使各模态轨迹在期望范围受限运动,且具有更强的干扰抑制能力.所提控制方案不仅从时间角度为降低跳变系统控制器设计的保守性提供了思路,频段信息的引入也从频率角度降低了设计结果的保守性.仿真示例验证了所提算法的有效性以及优越性.     

Robust Stochastic Stability and Control for Uncertain Singular Markovian Jump Systems with Multiplicative Noise

This paper focuses on the problems of robust stability and stabilization and robust control for uncertain singular Markovian jump systems with (x,v)‐dependent noise. The parameter uncertainties appearing in state, input, disturbance as well as diffusion terms are assumed to be time‐varying but norm‐bounded. Based on the approach of generalized quadratic stability, the memoryless state feedback controller is designed for the robust stabilization problem, which ensures that the resulting closed‐loop system has an impulse‐free solution and is asymptotically stable in the mean square. Furthermore, the results of robust control problem are derived. The desired state feedback controller is presented, which not only meets the requirement of robust stabilization but also satisfies a prescribed performance level. The obtained results are formulated in terms of strict LMIs. What we have obtained can be viewed as corresponding extensions of existing results on uncertain singular systems. A numerical example is finally given to demonstrate the application of the proposed method.     

Reliability and time‐to‐failure bounds for discrete‐time constrained Markov jump linear systems

This paper presents a methodology to obtain a guaranteed‐reliability controller for constrained linear systems, which switch between different modes according to a Markov chain (Markov jump linear systems). Inside the classical maximal robust controllable set, there is 100% guarantee of never violating constraints at future time. However, outside such set, some sequences might make hitting constraints unavoidable for some disturbance realisations. A guaranteed‐reliability controller based on a greedy heuristic approach was proposed in an earlier work for disturbance‐free, robustly stabilisable Markov jump linear systems. Here, extensions are presented by, first, considering bounded disturbances and, second, presenting an iterative algorithm based on dynamic programming. In non‐stabilisable systems, reliability is zero; therefore, prior results cannot be applied; in this case, optimisation of a mean‐time‐to‐failure bound is proposed, via minor algorithm modifications. Optimality can be proved in the disturbance‐free, finitely generated case. Copyright © 2016 John Wiley & Sons, Ltd.     

水力压裂过程中微环隙的产生和扩展的数值模拟

套管-水泥环-地层两两界面的密封失效致使高压气体上窜至井口而引起环空带压,给油气田的勘探开发带来安全和环保隐患.采用Abaqus的黏弹性损伤cohesive孔压单元建立套管-水泥环-地层界面水力压裂过程中压裂液周向窜流的有限元模型,对水力压裂过程中微环隙的产生和扩展的数值模拟进行分析.结果表明:只要第一界面或者第二界面胶结强度小于地层的抗拉强度,不论射孔方位大小,井眼周围均会产生微环隙.在油气田完井时需要合理确定水泥石的强度参数,以避免微环隙的产生.     

Analysis of the M/G/1 queue with discriminatory random order service policy

We consider an M/G/1 queue with different classes of customers and discriminatory random order service (DROS) discipline. The DROS discipline generalizes the random order service (ROS) discipline: when the server selects a customer to serve, all customers waiting in the system have the same selection probability under ROS discipline, whereas customers belonging to different classes may have different selection probabilities under DROS discipline. For the M/G/1 queue with DROS discipline, we derive equations for the joint queue length distributions and for the waiting time distributions of each class. We also obtain the moments of the queue lengths and the waiting time of each class. Numerical results are given to illustrate our results.     

Bayesian analysis of the patterns of biological susceptibility via reversible jump MCMC sampling

In some biological experiments, it is quite common that laboratory subjects differ in their patterns of susceptibility to a treatment. Finite mixture models are useful in those situations. In this paper we model the number of components and the component parameters jointly, and base inference about these quantities on their posterior probabilities, making use of the reversible jump Markov chain Monte Carlo methods. In particular, we apply the methodology to the analysis of univariate normal mixtures with multidimensional parameters, using a hierarchical prior model that allows weak priors while avoiding improper priors in the mixture context. The practical significance of the proposed method is illustrated with a dose-response data set.     

滑动频率估计算法在微波测量液位中的应用

在微波测量液位的系统中,正弦信号的频率估计是实现液位测量的关键.比较并分析了离散FFT变换的两种正弦信号频率估计方法:Rife比值法和三角形法,提出了一种滑动频率估计方法,通过实时确定比例因子,得到了滑动频谱校正算法.实验结果表明,该方法频率估计精度较高,估计性能优于单一的Rife法、三角形法,适合于低信噪比条件下的实...     

基于相位偏移的主动移频式孤岛检测方法

针对传统过压/欠压、过频/欠频、相位突变、主动频率偏移孤岛检测方法的不足,提出了一种改进方法.将相位偏移量作为辅助量加入主动移频孤岛检测方法中,使检测容性负载的孤岛现象具有与感性负载同样的快速性,并能有效降低主动频率偏移法对电网电能的影响.该方法实现简单,检测快速,仿真结果验证了其快速性和有效性.     

不可测前件变量模糊H∞观测器研究及在GMAW系统的应用

基于前件变量未知的T-S模糊系统设计一类模糊观测器.将模糊系统转化为广义系统的形式,提出一种广义系统的观测器设计方法,消除了控制输入对观测误差方程的影响.针对测量端含有扰动的模糊系统,通过拉格朗目中值定理,将模糊观测器转化为一组线性矩阵不等式的求解问题,并将这种观测器的设计方法应用到熔化极气体保护焊系统,快速有效地实现了对弧长的观测.最后通过仿真分析验证了所提出的观测器设计方法的有效性.