多输入多输出线性控制系统的简单极点配置算法

本文给出了对多输入多输出系统进行极点配置的算法。按照本文的结论，任何多输入多输出线性控制系统都可以象单输入单输出线性系统那样进行闭环系统及状态观测器的极点配置。     

多采样率数字控制系统的函数空间模型

采用函数空间的方法 ,利用提升 (lifting)技术 ,构造出多采样率数字控制系统的函数空间模型 .该线性时不变离散模型同时描述了被控对象在采样点上和采样点之间的动态行为 .根据这种模型所设计的多采样率数字控制系统 ,有望克服目前多采样率数字控制系统所存在的采样点之间存在有纹波或振荡等弊病 ,为多采样率数字控制系统的分析与综合提供了一个新的方法 .     

多采样率数字控制系统综述

本文给出了多采样率数字控制系统的发展和目前研究情况的综述．根据系统中各采样周期之间的关系，多采样率控制系统可以分为输入多采样率控制系统输出多采样率控制系统和广义多采样率控制系统等．它们又分别对应于采用广义保持器、广义采样器和周期时变控制器的数字控制系统．文中对这三类系统的特点和近期研究成果进行了系统的介绍与讨论．由于“因果条件”， 多采样率控制器具有结构约束．本文综述了几类满足这一结构约束的多采样率控制器的设计方法和各类多采样率控制系统．     

控制系统的智能极点配置

控制系统的极点配置方法，人们都很熟悉，目前仍然缺少的是如何选择能够满足系统动态性能的期望极点的方法。因此，需要一个把极点配置方法转化为实用有效的控制系统设计软件的设计知识库。根据一类工程上常用的四阶典型系统的大量数值仿真计算和分析，建立了这样一个设计知识库。最后给出了一个设计实例。     

多重系统同时极点配置的动态补偿器的设计

本文研究了多重系统同时稳定或极点配置的控制器设计问题。同时稳定或极点配置是出于设计容错控制系统之所需。本文推导了由一个动态补偿器对多重系统进行同时极点配置的充分条件。对于单输入或单输出的情况,上述充分条件也是必要的。文章的最后给出了设计方法以及一个实例。     

鲁棒极点配置的优化算法

本文研究了一类线性多变量系统的鲁棒极点配置问题，提出了一种基于目标函数优化的鲁棒极点配置算法，解决问题的基本思想是，利用极点配置的参数化表示结果，以系统输出的Ｌ∞范数作为极点配置寻优的准则函数，在这个准则下，通过解优化问题的途径确定极点配置问题中的自由参数，从而达到鲁棒极点配置的目的。     

具有固定闭环极点的同时稳定*

本文讨论了具有固定闭环极点的同时稳定问题,给出了该问题有解的充要条件和控制器的计算方法。     

一类分布参数控制系统极点配置的构造

在Hilbcrt空间中,考虑D. P. S.的极点配置问题。以往的工作,例如[2],假设A仅有单特征值。本文给出A有重特征值时的极点配置定理并推导出极点的配置公式。     

空气压伺服系统鲁棒极点配置控制

本文以文献[1]的理论为基础,对空气压驱动系统活塞移动速度的鲁棒控制进行了研究,并把控制结果与PID控制进行了比较。     

On pole structure assignment in linear systems

The problem of pole structure assignment (PSA) by state feedback in implicit, linear and uncontrollable systems is discussed in the article. It is shown that the problem is solvable if the system is regularisable. Then necessary and sufficient conditions for characteristic polynomial assignment are established. In the case of PSA (invariant polynomials assignment) just necessary conditions have been obtained. But it turns out that these conditions are also sufficient in some special cases. This happens, for example, when the system does not possess any non-proper controllability indexes. A possible application of the achieved results to modelling a constrained movement of a robot arm is outlined, too.     

Simultaneous pole assignment by multi-structured multirate sampled-data controllers—orthogonality consideration

A new method of simultaneous pole assignment and simultaneous stabilization of h plant models P_j (j = 1, …, h) by multirate sampled-data controllers is presented. The method is based upon two key ideas. The first is the introduction of the ‘perturbation structure’ assumption on the plant models; i.e., it is assumed that a part of P_j is fixed for all j and the rest is changed completely. This assumption seems fairly feasible if P_js are the models of a single object under different conditions or the models of many objects which perform the same function. The second key idea is the use of multi-structured multirate sampled-data controllers, which might offer a new horizon for a wide class of control problems other than simultaneous stabilization. The significance and feature of the proposed method in contrast with a previous method are clarified from the viewpoint of ‘controller-plant orthogonality’. Namely, we show that the resulting controller can be regarded as consisting of h subcontrollers each of which controls its target plant model but causes no feedback effect at sampling instants on other h—1 plant models.     

Dominant pole and eigenstructure assignment for positive systems with state feedback

In this paper, the dominant pole assignment problem, the dominant eigenstructure assignment problem and the robust dominant pole assignment problem for linear time-invariant positive systems with state feedback are considered. The dominant pole assignment problem is formulated as a linear programming problem, and the dominant eigenstructure problem is formulated as a quasiconvex optimisation problem with linear constraints. The robust dominant pole assignment problem is formulated as a non-convex optimisation problem with non-linear constraints which is solved using particle swarm optimisation (PSO) with an efficient scheme which employs the dominant eigenstructure assignment technique to accelerate the convergence of the PSO procedure. Each of the three problems can be further constrained by requiring that the controller has a pre-specified structure, or the gain matrix have both elementwise upper and lower bounds. These constraints can be incorporated into the proposed scheme without increasing the complexity of the algorithms. Both the continuous-time case and the discrete-time case are treated in the paper.     

多采样率数字控制系统的零点与无纹波渐近跟踪

采用函数空间的方法,利用先后两次的提升技术,构造出多采样率数字控制系统的函数空间模型和相应的脉冲传递函数矩阵模型.在此基础上,给出了多采样率数字控制系统零点和零方向的定义及其计算方法.并利用零点和零方向的概念,得出了多采样率数字控制系统实现包括采样点上和采样点之间的整个连续时间区间内无纹波渐近跟踪的条件.     

A gradient flow approach to on-line robust pole assignment for synthesizing output feedback control systems

Pole assignment is a basic design method for synthesis of feedback control systems. In this paper, a gradient flow approach is presented for robust pole assignment in synthesizing output feedback control systems. The proposed approach is shown to be capable of synthesizing linear output feedback control systems via on-line robust pole assignment. Convergence of the gradient flow can be guaranteed. Moreover, with appropriate design parameters the gradient flow converges exponentially to an optimal solution to the robust pole assignment problem and the closed-loop control system based on the gradient flow is globally exponentially stable. These desired properties make it possible to apply the proposed approach to slowly time-varying linear control systems. Simulation results are shown to demonstrate the effectiveness and advantages of the proposed approach.     

Robust pole assignment in systems subject to structured perturbations

The problem of robust pole assignment by feedback in a linear, multivariable, time-invariant system which is subject to structured perturbations is investigated. A measure of robustness, or sensitivity, of the poles to a given class of perturbations is derived, and a reliable and efficient computational algorithm is presented for constructing a feedback which assigns the prescribed poles and optimizes the robustness measure.     

Regional pole assignment for uncertain delta-operator systems

The pole assignment in a specified disk by state feedback for uncertain delta-operator systems is studied. By making use of algebra Riccati equations, a sufficient and necessary condition of pole assignment for a kind of parameter uncertain delta-operator system in a specified disk by state feedback is presented. And the design method of state feedback controller is also developed.The proposed method can unify some previous rehted results of continuous and discrete time systems into the delta framework. The efficiency of the design method is illustrated by a numerical example.     

基于极点配置的平整机张力解耦控制

分析了平整机产品质量存在的问题 ;提出了基于极点配置的解耦控制策略. 理论分析、计算机仿真和工业实验都表明该控制方法能实现对平整机前张力、后张力和工作辊速度的解耦控制, 降低了它们之间的相互耦合程度, 改善了系统的控制效果, 有利于提高带材产品的质量.     

区域极点配置问题的研究方法

对区域极点配置的现有研究成果进行综述.将区域极点配置的基本方法归结为代数Riccati方程(ARE)方法和线性矩阵不等式(LMI)方法.列出了基于区域极点配置方法的主要研究成果,包括最优控制、鲁棒性、H2性能、H∞性能等方面.最后给出了几点研究展望.