信号解耦控制系统分析

为了得到解耦系统设计的新方法,经过对多变量耦合系统的输出信号分析,发现在开环系统上叠加一个与耦合作用相反的解耦信号可以实现系统解耦.通过信号解耦问题的深入研究,提出了“耦合特征矩阵”的构造方法,给出了系统的“能解耦准则”和系统“完全动态解耦准则”,通过对系统稳定性分析,得到了信号解耦系统设计的“分离定理”以及信号解耦器的“稳定判据”.单元机组解耦控制系统仿真表明信号解耦设计方法简便有效.     

热连轧机活套系统的解耦控制及仿真

针对传统热连轧带钢活套张力与高度控制系统,本文给出了基于对角矩阵解耦和解耦不变性原理的解耦控制方法.通过耦合系统的动态结构图,求取活套耦合系统的状态空间表达式,经过Matlab变换求得系统的传递函数,再根据解耦不变性原理,求得系统的解耦网络传递函数.最后应用Matlab的系统仿真工具Simulink对活套系统和解耦网络进行联合仿真实验,结果表明解耦后活套控制系统可达到较好的控制效果.     

热连轧机活套系统的解耦控制及仿真

针对传统热连轧带钢活套张力与高度控制系统,本文给出了基于对角矩阵解耦和解耦不变性原理的解耦控制方法.通过耦合系统的动态结构图,求取活套耦合系统的状态空间表达式,经过Matlab变换求得系统的传递函数,再根据解耦不变性原理,求得系统的解耦网络传递函数,最后应用Matlab的系统仿真工具Simulink对活套系统和解耦网络进行联合仿真实验.结果表明解耦后活套控制系统可达到较好的控制效果.     

基于微分几何的带钢热连轧活套解耦控制

带钢热连轧机活套系统是一个耦合的多输入多输出的非线性系统。针对活套系统的解耦控制问题，提出了基于微分几何的解耦控制方法。微分几何方法利用微分几何中的局部变换来研究系统的基本特性，是处理非线性多变量系统解耦问题的有效数学工具；建立了活套系统的数学模型，利用微分几何方法，通过非线性状态反馈对热连轧活套进行了解耦控制，并针对活套系统实例进行了仿真研究。仿真结果表明，该控制算法具有较好的解耦效果，有效地提高了活套系统的控制效果。     

多点悬浮系统的解耦及控制系统设计

本文主要讨论多点磁悬浮系统建模和解耦问题。在建立多点悬浮模型的基础上,利用矩阵变换技巧,实现系统运动状态的解耦,同时根据实际悬浮系统的稳定性能要求和极点配置理论设计一个闭环控制系统,由反馈矩阵K给出反馈控制。     

可解耦性矩阵D0奇异时的解耦控制算法

提出当可解耦性矩阵Ｄ０奇异时,采用串联积分补偿器的状态反馈控制策略实现闭环系统解耦控制的新算法,并论证了算法存在的充要条件,给出了算例,新算法不仅解决了可解耦性矩阵Ｄ０奇异时解耦问题,而且在实现闭环系统解耦控制的同时,增加了可配置极点数目,减少了乘余极点数目。     

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。     

线性多变量系统有限时间最优解耦控制

针对线性多变量系统, 将前馈解耦控制与有限时间最优跟踪控制相结合, 提出一种新的最优解耦控制方法. 首先, 将关于状态的微分方程转化成关于输出的微分方程, 将系统内部矩阵和控制输入矩阵分别分解成对角矩阵和对角元为零的矩阵; 然后, 通过引入中间虚拟变量, 采用前馈和输出反馈的方法对系统进行解耦; 最后, 采用有限时间最优跟踪控制方法实现系统对任意参考输入的跟踪. 仿真结果表明了所提出方法的有效性和优越性.     

一种直接多变量自适应解耦控制算法

本文将广义最小方差控制策略和前馈控制策略结合进来,提出了解耦控制器并讨论了如何采用修改最小二乘辨识算法和直接方案对具有任意延时结构的一般随机多变量系统实现自适应解耦控制,本文还证明了所提出的自适应算法即使用于开环不稳定或非最小相位系统也具有整体稳定性和收敛性。     

光刻机微动台的运动解耦及位置控制研究

在分析了光刻机掩膜台微动台(简称微动台)结构的基础上,对微动台的六自由度运动进行了几何解耦,将其分解为两个三自由度上的解耦,并从实际系统的角度出发完成了解耦计算.最后针对微动音圈电机位置控制,提出了基于线性扩张状态观测器的增量式PID控制,并取得了良好的控制效果.     

基于非线性静态反馈解耦的三容系统PI控制

三容系统实验台是模拟多容器流程系统的多输入多输出、时变、强耦合、非线性的实验系统。采用一种基于非线性静态反馈的解耦方法进行三容实验系统的液位控制,当系统满足一定的务件时,可以寻找到一个输出与等效新输入之间的线性微分方程关系,然后再选择合适的状态反馈形式即可使该非线性系统解耦。经解耦,三容系统可分解为两个相互独立的单输入单输出线性子系统,对每个这样的子系统可以采用PI控制。给出了应用的实验结果和与没有使用解耦的PI控制方法的比较：     

基于神经网络的多变量非线性自适应解耦控制研究

提出神经网络前馈自适应解耦控制算法．该算法将多变量非线性系统在平衡点处利用Taylor公式展开．分为线性部分和高阶非线性部分。这样．将高阶非线性部分的影响视为可测干扰，采用前馈补偿的方法加以消除．就可以借助多变量线性系统的自适应解耦控制算法．实现多变量非线性系统的自适应解耦控制．这种方法可以取消被解耦系统为最小相位的限制。     

LPV decoupling for control of multivariable systems

This article investigates methods for decoupling multivariable linear parameter varying (LPV) systems and proposes a new interaction measure for decoupled proportional-integral (PI) feedback control design in LPV systems. The proposed approach seeks to benefit the multivariable control of multi-input multi-output (MIMO) systems with variable operating conditions, variable parameters or nonlinear behaviour. This method can improve the tracking performance and reduce the operating conditions variability of such systems with significant coupling in the system dynamics. We design MIMO decoupling feedback LPV controllers to address loop interaction effects. The proposed method uses a parameter-dependent static inversion or SVD decomposition of the system to minimise the effects of the off-diagonal terms in the MIMO system transfer function matrix. A new parameter-dependent interaction measure is introduced based on the SVD decomposition and static inversion which is subsequently utilised for tuning multi-loop PI controller gains. Numerical examples are presented to illustrate the validity of the proposed LPV decoupling methods, as well as the use of the proposed interaction measures for a decoupled multi-loop PI control design.     

一类非线性时滞系统的解耦控制

利用微分几何方法研究了一类非线性多输入多输出时滞系统的解耦问题．讨论了此类系统可解耦的充分条件，并给出了此类系统实现输入/输出间精确线性化的条件以及其标准形．文中给出了非线性时滞系统得以解耦的非线性状态反馈控制律；此状态控制律不但可以实现输出与时滞状态变量的解耦，还可以实现输出与输入间的精确线性化．而其闭环标准形的给出为此类系统实现各种控制目标带来了方便．     

Feedback transformation of linear systems

In this paper we define a feedback transformation as an operation on a class of linear systems and investigate its properties within the framework of the mathematical theory of general systems. In particular, the class of linear systems produced from an arbitrary fixed linear system by the feedback transformation is characterized. Furthermore, a decoupling condition for linear systems is presented as well as a relation between the class of linear systems that can be decoupled and the class of invertible linear systems.     

Output regulation boundary control of first-order coupled linear MIMO hyperbolic PIDE systems

ABSTRACT

The work addresses the output regulation problem for coupled linear multiple input multiple output (MIMO) hyperbolic partial integro-differential equation systems with disturbances affecting the systems through the space and boundary input. The exosystems are extended to generate ramp signals and general family of polynomial signals. The system decomposition is applied through the state transformation and yields a decoupled equivalent system. Based on the decoupled form, the backstepping transformation is applied and then in the new coordinate, the full state and output-feedback regulators are designed, respectively. For the state feedback regulator, the corresponding regulator equation is obtained and its solvability conditions are provided to facilitate the regulator design and feasibility. The design of observer-based regulator is based on the decoupling of the observer error system into a PDE subsystem and an ODE subsystem so that the backstepping approach achieves stabilisation by eigenvalue assignment leading to design of observer stabilizing gains.     

Normalized decoupling control for high-dimensional MIMO processes for application in room temperature control HVAC systems

A novel decoupling control system design for high-dimensional multi-input, multi-output (MIMO) processes is presented. Based on the Relative Normalized Gain Array (RNGA), an Equivalent Transfer Function (ETF) for each element in the transfer function matrix was derived for the closed-loop control system and was used to approximate the inverse of the process transfer function matrix. The decoupler could be easily determined with each element in the First-Order-plus-Time-Delay (FOPTD) form and resulted in a stable, proper and causal decoupled matrix. A PI/PID controller could then be designed to meet the performance objectives. The main advantage of this method was its simplicity; it did not require extensive calculation effort. To demonstrate its effectiveness, the decoupling control strategy was applied to control the temperatures of four neighboring rooms in an HVAC process.     

On various types of decoupling for time-varying systems†

This paper deals with the problem of decoupling a class of linear time-varying multi-variable systems, based on the defining property that the impulse response matrix of a decoupled system is diagonal. Depending on the properties of the coefficient matrices of the vector differential equation of the open-loop system, the system may be uniformly or totally decoupled. The necessary and sufficient conditions that permit a system to be uniformly or totally decoupled by state variable feedback are given. The main contribution of this paper is the precise definition of these two classes of decoupling and a rigorous derivation of the necessary and sufficient conditions which show the necessity of requiring that the system be of constant ordered rank with respect to observability. A simple example illustrates the importance of having several definitions of decoupling. Finally, the results are specialized to the case of time invariant systems.     

Status of noninteracting control

The current status of decoupling theory for linear constant multivariable systems is described. The subject is treated in vector space terms and appropriate background concepts including invariant and controllability subspaces are discussed. Suggestions are given for translating vector space operations into matrix operations suitable for computation. The controllability subspace is used to formulate the restricted (static compensation) decoupling problem. Although the most general version of this problem is unsolved, there are known solutions for three special cases. A complete solution to the extended (dynamic compensation) decoupling problem is known. If a linear constant multivariable system can be decoupled at all, by any means whatever, then it can always be decoupled using linear dynamic compensation. The internal structure of a decoupled system is described in simple matrix terms. Using this representation, it is possible to characterize the system pole distributions which may be achieved while preserving a decoupled structure. A procedure is outlined for synthesizing a dynamic compensator of low order which will decouple a system. The procedure actually provides minimal order decoupling compensators for systems in which the number of open-loop inputs equal the number of outputs to be controlled.     

A characterization of controllability suitable for signal-flow graph applications

A fundamental relation that the solutions for the state variables of an uncontrollable system must satisfy is obtained. From this relation it is shown that the rank of the controllability matrix and an algebraic transformation which gives the controllability canonical form can easily be deduced. Under this transformation a set of controllable state variables remains invariant.