延时系统最优控制的方块脉冲函数新算法

本文应用方块脉冲函数的积分矩阵的极好运算性质,得到了延时线性系统二次型最优控制问题的更适用于计算机计算的状态反馈形式的分段综合控制,以及最优状态轨线与最优控制的分段恒定解答和目标泛函的最优值。     

方块脉冲函数用于连续分布时滞系统的最优控制

本文应用方块脉冲函数推出了连续分布时滞系统的分段恒定解答,给出了最优控制的综合表达式及泛函目标的最优值。     

方块脉冲函数应用于线性时变二次型最优控制的动态规划解法

本文通过应用方块脉冲函数的一些基本性质,将线性时变二次型最优控制问题化成多段动态规划问题,通过求解得到的动态规划问题,可得原问题的分段常值解,文中给出了形式简单且易于计算机求解的递推算法,与参考文献[1-3]中的方法比较,本文得到的递推算法简单、明了,且计算时间及存储空间极大地减少．文中给出了算法的具体算例,具有明显的优越性．     

延时双线性系统参数估计的方块脉冲函数分析法

本文采用方块脉冲函数的优良运算性质,推导出一种简便有效的分析延时双线性系统参数估计问题的新方法,与其它方法相比,具有运算特别简单的特点.     

分段线性函数应用于延时系统的最优控制

本文把分段线性函数引入到求解延时系统的最优控制中,推得延时线性系统二次型最优控制问题的分段控制解答及其状态轨线估计,算例结果表明,该算法比方块脉冲函数算法具有更高的计算精度。     

方块脉冲函数用于线性时变系统的分析和最优控制

本文给出了方块脉冲函数的一些运算性质.利用这些性质求解线性时变系统的状态方程和基于二次型性能指标的最优控制规律,得出了便于应用的均匀分段恒定解答.较沃尔什函数逼近法容易导出形式简明的递推算法,且子区间的分段数可选取任意整数,因而节省计算机内存和机时,有助于提高计算和控制的精度.     

一种采用方块脉冲函数求解延时最优控制问题的算法

本文采用方块脉冲函数方法,将线性延时系统二次型最优控制问题转化为函数极值问题,得到了最优控制规律的分段恒定解答,导出了一种不同迭代求解的简便算法.所提算法对小延时和大延时系统均有效.     

线性二次型最优控制闭环系统极点的必要条件

本文推导了线性二次型（LQ）最优控制闭环系统极点应满足的必要条件，以及与加权阵Q和R的等式关系     

分段线性函数应用于线性时变系统的最优控制

本文给出了分段线性函数的一些运算性质,利用这些性质求解线性时变系统基于二次型性能指标的最优反馈控制律,推导出了形式简明的求解算法,该算法较之于方块脉冲函数算法具有更高的计算精度。     

基于分散反馈控制的时滞混沌大系统

研究一类具有时滞关联的时滞大系统的混沌现象和分散反馈控制问题。应用线性矩阵不等式（LMI）方法,基于李雅普诺夫定理,分别得到了系统存在分散时滞反馈控制器和分散标准反馈控制器的充分条件,并利用分散时滞反馈控制器对系统中存在的不稳定周期轨道的追踪控制问题进行研究。仿真结果表明控制器具有很强的鲁棒性。     

基于以太网的网络控制系统时滞特性分析

在讨论了网络控制系统中的几种建模方法后,针对基于以太网的网络控制系统所采用的两种典型协议——TCP/IP和UDP/IP,通过实验对它们的时滞特性做了分析。     

时变时滞系统的参数辨识及自适应控制

基于最小二乘法一类辨识算法的自适应控制,一般只适用于时滞已知且时不变的被控过程,本文提出了一种包括可估计时变时滞在内的参数辨识方法,该方法扩展了最小二乘一类辨识算法及相应的自适应控制的应用范围,文中通过一个实例讨论了该方法在自适应控制中的应用,并谈及下一步的研究工作。     

Exponential stabilization controller design for interconnected time delay systems

Decentralized robust control problem is investigated for a class of large scale systems with time varying delays. The considered systems have mismatches in time delay functions. A state coordinate transformation is first employed to change the original system into a cascade system. Then the virtual linear state feedback controller is developed to stabilize the first subsystem. Based on the virtual controller, a memoryless state feedback controller is constructed for the second subsystem. By choosing new Lyapunov Krasovskii functional, we show that the designed decentralized continuous adaptive controller makes the solutions of the closed-loop system exponentially convergent to a ball, which can be rendered arbitrary small by adjusting design parameters. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed design techniques.     

STABILITY ANALYSIS OF UNCERTAIN DISCRETE‐TIME SYSTEMS WITH TIME‐VARYING STATE DELAY: A PARAMETER‐DEPENDENT LYAPUNOV FUNCTION APPROACH

This paper presents several new robust stability conditions for linear discrete‐time systems with polytopic parameter uncertainties and time‐varying delay in the state. These stability criteria, derived by defining parameter‐dependent Lyapunov functions, are not only dependent on the maximum and minimum delay bounds, but also dependent on uncertain parameters in the sense that different Lyapunov functions are used for the entire uncertainty domain. It is established, theoretically, that these robust stability criteria for the nominal and constant‐delay case encompass some existing result as their special case. The delay‐dependent and parameter‐dependent nature of these results guarantees the proposed robust stability criteria to be potentially less conservative.     

A sliding mode controller for a model of flow separation in boundary layers

In this paper, we propose a sliding mode controller for a MIMO model of flow separation in boundary layers. The model consists in a bilinear system with constant delays in both the state and the input. The main motivation to consider such a class of systems is that it has shown to be suitable for input‐output modeling and control design of some turbulent flow control systems. Stability and robustness properties of the control scheme are studied by means of Volterra equations theory, which provides easily verifiable stability conditions.     

Inverted decoupling internal model control for square stable multivariable time delay systems

This paper presents a new tuning methodology of the main controller of an internal model control structure for n × n stable multivariable processes with multiple time delays based on the centralized inverted decoupling structure. Independently of the system size, very simple general expressions for the controller elements are obtained. The realizability conditions are provided and the specification of the closed-loop requirements is explained. A diagonal filter is added to the proposed control structure in order to improve the disturbance rejection without modifying the nominal set-point response. The effectiveness of the method is illustrated through different simulation examples in comparison with other works.