线性系统的不相关解耦*

本文讨论线性系统的输入-输出块解耦问题。首先证明一个关于相容(A, B)-不变子空间族的定理，再利用它证明不相关解耦的充要条件。然后，给出解耦算法。最后证明，由算法得到的解耦形式是一种标准形式。     

模糊系统的串联补偿解耦

本文提出并解决模糊关系系统的串联补偿解耦问题,给出了串联解耦补偿器的结构、实现 解耦的一个充分条件的串联补偿解耦问题的解存在的一个充要条件.     

一类非线性离散时间系统的神经网络解耦策略

考虑用神经网络作为补偿器,对一类非线性系统进行输入输出解耦.给出了这类系 统的可解耦的充要条件,并证明在该条件下系统可解耦成线性系统且极点可任意配置.基于 此,给出了这类系统的一个神经网络解耦方法.     

奇异系统的干扰解耦

本文讨论利用状态反馈实现奇异系统的干扰解耦问题,提出了绝对C-能观的概念。利用这个概念,对(E~T,C~T)行满秩的奇异系统给出了干扰解耦有解的充要条件。     

分散控制系统的扰动解耦问题

本文直接用矩阵语言描述分散控制系统扰动解耦问题,给出了一般分散控制系统扰动可解耦的充要条件,构造了一组方程组,系统扰动可解耦的充要条件是方程组有解。当系统是扰动可解耦时,由方程组的解可直接得到实现扰动解耦所需的分散反馈增益阵。     

广义线性系统的干扰解耦观测器设计

提出了广义线性系统的Luenberger函数观测器关于干扰解耦的充要条件,并进一步基于广义Sylvester矩阵方程的显式通解给出了干扰解耦观测器的参数化设计方法.这种方法首先给出了观测器增益矩阵的参数表示,然后通过结合观测器增益矩阵的参数表示和提出的干扰解耦条件,给出了设计广义线性系统干扰解耦观测器的算法.数值例子说明了本文设计方法的有效性.     

多重(A,B)-不变子空间及多频采样控制

本文提出多重(A,B)一不变子空间的概念,并给出其判据和几个基本性质.利用这些结果, 得到一类多频采样干扰解耦问题可解的充要条件.     

状态空间自校正动态解耦控制器

本文针对一类系统提出了一种新的自校正动态解耦的方法。首先借助于系统的关联矩阵,给出了系统可由状态反馈实现动态解耦的充要条件,然后以此为基础,导出了相应的自校正控制算法。     

多变量系统模糊解耦自适应控制

对象模型难以确定的系统，采用经典控制方法难以实现解耦控制，作者应用模糊控制理论，研究了一种无需对象模型的模糊解耦自适应控制方法。本文介绍了这一方法，导出实现模糊解耦自适应控制的充要条件，并给出了仿真结果。     

一类非线性切换系统输出与扰动的解耦

研究了一类单输入单输出非线性切换系统输出与扰动的完全解耦的可解性问题,提出了此类非线性切换系统输出与扰动的完全解耦的充要条件,并进一步给出了干扰可测并且能够用于反馈控制律的设计的情况下系统输出与扰动的完全解耦的条件.最后给出了仿真实例说明了本文结果的有效性.     

Disturbance Decoupling of Time Delay Systems

A necessary and sufficient condition is derived for the solvability of the disturbance decoupling problem by a pure shift dynamic compensator. It corrects previously obtained results for multi‐input multi‐output (MIMO) systems. Also, necessary and sufficient conditions are given for the solvability of the problem by a dynamic compensator for single input single output (SISO) systems.     

Output feedback disturbance decoupling in nonlinear systems

The problem of disturbance decoupling by means of output feedback is addressed. The notion of conditioned invariance is reconsidered in a linear algebraic framework. Using this geometric notion, a necessary and sufficient condition (respectively, necessary condition) is obtained for solving the disturbance decoupling problem by quasi-static output feedback (respectively, the disturbance decoupling problem by dynamic output feedback (DDDPO)). The necessary conditions for DDDPO which are derived are weaker than the existing ones, a sufficient condition for the disturbance decoupling problem by static output feedback is given as well     

Robust decoupling of discrete systems using ℒ1optimization

We address a control design problem related to decoupling, namely robust decoupling. The idea of robust decoupling is defined and shown to be equivalent to robust performance of a Hadamard-weighted ℒ¹ performance measure. A necessary and sufficient condition to determine if a compensator satisfies robust performance of a Hadamard-weighted ℒ¹ performance measure in the presence of structured uncertainty is given. This condition can be used to determine if a compensator robustly decouples a plant. Finally, an iterative scheme for synthesizing a robust decoupling controller is discussed     

Input–output decoupling by output feedback with disturbance attenuation of H∞ control for any square system

The combined problem of diagonal decoupling by output feedback with disturbance attenuation performance for any square system is formulated. A sufficient condition which is more general than the necessary and sufficient one of static state feedback for the existence of the controller is determined. The necessary and sufficient conditions for the controller and decoupled system that are both stable are presented. An analytical form and a numerical computable method for the controller are obtained for the first time when the condition is satisfied. The correctness of our method is tested by simulations for an example.     

On disturbance decoupling problem of Boolean control networks

In this paper, the disturbance decoupling problem for Boolean control networks is investigated in a new viewpoint. A new concept called original disturbance decoupling is proposed and necessary and sufficient conditions for the original disturbance decoupling are given. Similarly, an equivalent condition for the s‐step original disturbance decoupling is obtained. Finally, an algorithm and some simulations for an example are provided to validate the obtained theoretical results.     

非线性广义时变系统的干扰解耦

讨论了在正则状态反馈作用下,一类非线性广义时变系统的干扰解耦问题.首先,提 出了一种新的解耦算法;然后,基于该算法,对系统的干扰解耦问题进行了研究,推导出该问 题可解的充分必要条件,并且构造出反馈控制律;最后,举例说明了该方法的可行性.     

The nonlinear interactor and its application to input-outputdecoupling

The solvability of the input-output decoupling problem via pure dynamic state feedback, a special type of dynamic compensator without zeros at infinity, is investigated. A necessary and sufficient condition for the solvability of this problem is established in terms of a nonlinear interactor, a new concept in the theory of nonlinear control