A ROBUST ADAPTIVE CONTROL DESIGN FOR A CLASS OF UNCERTAIN NONLINEAR MARKOVIAN JUMP SYSTEMS

A direct robust adaptive nonlinear control scheme for a class of uncertain nonlinear Markovian jump systems with nonlinear state‐dependent uncertainty is presented. The proposed scheme is Lyapunov‐based and guarantees the global uniform ultimate boundedness of the closed‐loop system in the mean sense. A numerical example is given to demonstrate the validity of the results.     

狄利克雷积分的几种计算方法

利用含参量非正常积分的一些性质,给出了狄利克雷积分integral from n=0 to +∞(sinx)的几种计算方法。     

动态分布参数神经网络及其稳定性分析

文中将Ｈｏｐｆｉｅｌｄ型有限状态空间动态神经网络推广到无穷维状态空间动态神经网络，即动态分布参数神经网络（ＤＤＰＮＮ），并给出了它们的有界性和稳定性，尤其是，还研究了带有微分算子的多维分布参数神经网络的时空稳定性以及在保证稳定性情况下所应满足的边界条件，文中从理论上完善和发展了动态神经网络。     

广义线性系统模型跟踪控制的新方法

本文讨论广义线性系统的模型跟踪控制问题, 提出了一种新的设计方法,该方法无须对系统作状态变换,因而能保留系统模型所具有的物 理意义．文章证明了这种设计方法的状态变量都是有界的,并给出一个实际电路的仿真结果 来证实这种设计方法的有效性．     

广义非线性系统解的一致最终有界性研究*

首先利用隐函数定理及常规的非线性系统解地存在唯一性定理,给出了广义非线性系统解的存在唯一性条件,然后利用标量和Ｌｙａｐｕｎｏｖ函数方法,从系统本身出发,研究了广义非线性系统解的一致最终有界性。     

位势算子的加权有界性及其应用

将Ｒｎ上的位势算子的概念推广到Ｒｎ＋１＋上,定义了将Ｒｎ上的函数映为Ｒｎ＋１＋上的函数的位势算子,建立了它的加权强型和弱型有界性,同时还给出了它的一些应用．     

Integrated relative position and attitude control of spacecraft in proximity operation missions

This paper addresses an integrated relative position and attitude control strategy for a pursuer spacecraft flying to a space target in proximity operation missions. Relative translation and rotation dynamics are both presented, and further integratedly considered due to mutual couplings, which results in a six degrees-of-freedom (6-DOF) control system. In order to simultaneously achieve relative position and attitude requirements, an adaptive backstepping control law is designed, where a command filter is introduced to overcome "explosion of terms". Within the Lyapunov framework, the proposed controller is proved to ensure the ultimate boundedness of relative position and attitude signals, in the presence of external disturbances and unknown system parameters. Numerical simulation demonstrates the effect of the designed control law.     

Stability and boundedness in difference systems with finite delay

In this paper, stability and boundedness theorems for delay difference systems with the condition

δV(n,x(n))≤-W₂(|x(n)|)+σ

are given, where Δ is the backward difference operator. Some known results are generalized.     

考虑量化不匹配问题的信息物理系统的安全控制

针对一类包含执行器攻击、外部干扰和编/解码器不匹配的信息物理系统（cyber-physical system,CPS）,设计一种新型鲁棒控制器确保其安全稳定运行。控制器线性部分的增益由优化◢H◣▼2▽性能的线性矩阵不等式给出;控制器的非线性结构包含两部分,一部分用于消除外部干扰、量化误差,另一部分利用对未知执行器攻击参数的自适应估计来实现对攻击的补偿。最后,仿真算例结果表明控制器能保证闭环系统的一致最终有界性,说明了所提方法的有效性。