On Constrained MMVC of Discrete‐Time First‐Order Linear Stochastic Systems with PSI I: The Critically Stable Case

This paper is devoted to the study of the modified minimal variance control (MMVC) of discrete‐time first‐order linear critically stable stochastic systems with prospective strong intervention (PSI) and control input constraints. Due to different evolutionary characteristics of systems with PSI, that is, the two modes of tending to infinity and having bounded oscillations, the discrete‐time first‐order linear critically stable systems can be partitioned into two types regarding the signs of a key system parameter a. A necessary and sufficient condition for the state mean convergence of a system with a = 1 is derived and the corresponding design of MMVC is formulated. For the critical stable system with a =? 1, its oscillation amplitudes of state means can be effectively suppressed or the means can converge under control. Finally, the effectiveness and advantages of the proposed control strategies comparing with MVC are confirmed by numerical simulations.     

On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems

The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian(PCH)systems are investigated in this paper,and a number of new results are proposed.Firstly,by exploiting the Hamiltonian structural properties,a proper form of the Hamiltonian function is obtained,based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems.Secondly,using the obtained stability criterion and the so-called"energy shaping plus damping injection"technique,the continuous finite-time stabilization problem is studied for the PCH system,and several global stabilization results are provided.Finally,the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated,and two results on designing global robust finite-time stabilizers are obtained.Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well.     

正压直吹式制粉系统运行及管理措施

制粉系统的运行情况是否健康,对单元机组的安全和经济性有很大影响。结合某发电公司实际情况,分析了制粉系统存在的主要问题,提出了应对措施,提高了机组运行的安全性和经济性,可供同类型机组参考。     

一种内容完整的视频稳定算法

设计了一种基于可靠特征集合匹配的内容完整的视频稳定算法。为了避免运动前景上的特征点参与运动估计,由经典的KLT(Kanade-Lucas-Tomasi)算法提取特征点,而后基于特征有效性判定规则对特征点集合进行有效性验证以提高特征点的可靠性。利用通过验证的特征点对全局运动进行估计,得到精确的运动参数并据此对视频图像进行运动补偿。对于运动补偿造成的无定义区,首先计算当前帧的定义区与相邻帧的光流,以此为向导腐蚀无定义区;利用拼接的方法,填充仍为无定义区的像素。实验结果表明该算法对于前景物体运动具有较好的鲁棒性并能够生成内容完整的稳定视频序列。     

离轴式拖车移动机器人的反馈镇定

由于离轴式拖车移动机器人的模型不能转化为非完整链式模型, 因而无法采用针对非完整链式模型的控制方法. 针对有多节离轴式拖车的移动机器人, 给出了一种基于时间–状态能控形的反馈镇定控制算法. 首先推导出系统的线性化时间–状态模型, 并证明了其能控性; 进而设计了一种线性切换反馈镇定控制律, 该控制律可以保证系统的状态在有限时间内收敛到原点的任意小邻域内. 仿真结果证实了所提控制算法的有效性.     

一类不确定非线性系统的停息时间可调的有限时间镇定

研究了一类带有零动态不确定非线性系统有限时间镇定问题, 给出了具有更强实用性的停息时间可调的有限时间稳定控制设计方法. 基于有限时间稳定的Lyapunov理论和反推技术, 给出了停息时间可调有限时间稳定控制器的设计步骤. 所设计的状态反馈控制器使得闭环系统全局有限时间稳定, 且停息时间可调整, 特别是当系统初始值已知时, 停息时间可以任意调节. 仿真例子验证了本文的主要结论.     

极小极大加系统(F,G,H)的输出反馈镇定

研究了一般化非自治非线性极小极大加系统的输出反馈镇定问题.首先,提出了闭环系统单极大射影系统表达式.其次,研究指出闭环单极大射影子系统存在严格的颜色匹配关系.接着,针对颜色匹配的复杂情况,提出新的着色图构造.以往对闭环单极大射影子系统中出现的新增圈研究,仅涉及含有一条反馈弧的圈,本文指出新增圈中可能包含由多条反馈弧构成的圈.最后,根据新着色图和新增罔特点得到了系统输出反馈镇定的一个充分条件.     

一类多输入级联非线性切换系统的全局镇定

研究一类带有部分线性系统的多输入级联非线性切换系统的全局镇定问题. 首先, 给出保证线性部分有一致规范型的充分条件. 其次, 利用一致规范型及其零动态的共同二次Lyapunov函数设计状态反馈使得线性部分在任意切换律下镇定. 最后, 通过构造共同Lyapunov函数能实现闭环系统在任意切换律下的全局渐近稳定性.     

连续时间T-S模糊系统的一种二次镇定方法

模糊隶属函数是模糊系统的重要组成部分,在系统镇定中考虑其结构和参数信息可以减少结果的保守性.为此,针对连续时间T-S模糊系统的二次镇定问题,提出一种新的放松二次镇定条件.运用一种有效的附加变量引入方式将隶属函数乘积界这一信息更好地纳入系统的镇定条件中,得到了比以往文献保守性更小的结果.所有结果均以线性矩阵不等式形式给出.仿真结果验证了所提出方法的有效性.     

Robust stability and H∞ control for uncertain discrete Markovian jump singular systems with mode‐dependent time‐delay

The robust stochastic stability, stabilization and H_∞ control for mode‐dependent time‐delay discrete Markovian jump singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a standard linear system, and delay‐dependent linear matrix inequalities (LMIs) conditions for the mode‐dependent time‐delay discrete Markovian jump singular systems to be regular, causal and stochastically stable, and stochastically stable with γ‐disturbance attenuation are obtained, respectively. With these conditions, robust stabilization problem and robust H_∞ control problem are solved, and the LMIs sufficient conditions are obtained. A numerical example illustrates the effectiveness of the method given in the paper. Copyright © 2008 John Wiley & Sons, Ltd.