圆形区域内鲁棒极点配置优化

本文基于和声搜索算法将精确极点配置的思想推广到圆形区域极点配置,通过对圆域内极点全局优化的方法,实现圆域内鲁棒极点配置问题.首先,基于几何原理描述极点在圆形区域内的位置信息,确定了在圆形区域内动态选择极点的规则,可以保证算法在圆形区域内动态选取极点.然后,对圆形区域内的极点,基于精确鲁棒极点配置的思想,利用和声搜索算法优化摄动或不确定性的谱范数上界,从而得到一组允许闭环系统具有更大摄动或不确定性的极点及相应的状态反馈控制器.最后,通过实例进行仿真,仿真结果表明本文采用和声搜索算法全局优化动态选择极点方法得到的闭环系统具有更好的鲁棒性.     

一种广义系统补偿器的设计方法

本文介绍一种广义系统补偿器的设计方法。该补偿器既能消除系统的脉冲响应,又能配置闭环广义系统的极点。     

多变量极点配置自校正控制器

本文讨论了一种新的具有指定极点的多变量自校正控制器的设计方法。它改进了文献所提出的算法。该算法能够控制非最小相位系统,开环不稳定系统和B_0阵为奇异的不同时延系统,即可在线配置闭环极点又可离线配置闭环极点。同时,本文还表明文献给出的算法可以认为是本文结果的特例。最后给出计算机仿真结果,说明这种控制器的实用性和有效性。     

多变量自寻优极点配置自校正控制器

本文提出了一种多变量自寻优闭环移动极点极点配置目校正控制算法,其基本策略是:在控制过程中,以多变量广义最小方差为目标自动移动闭环极点,且在控制量允许的范围内,使闭环极点处于理想位置上。理论与仿真表明:本文给出的算法避免了预先确定闭环极点位置所带来的种种不利现象,不仅能实现最优控制,且仍具有极点配置的鲁棒性。     

线性系统的鲁棒状态反馈控制器

本文基于线性系统的状态反馈特征结构配置结果和矩阵特征值灵敏度分析理论,提出了线性系统的一种鲁棒状态反馈控制器,它在满足闭环系统特性要求的前提下,使得闭环极点关于系统参数摄动具有最小的灵敏度.     

具有直接前馈控制的奇异分散系统的反馈控制

研究具有直接前馈的奇异分散系统。利用状态空间方法，我们导出了该系统通过静态输出反馈达到单通道Ｒ－可控与单通道Ｒ－可稳的条件。利用这些条件，我们研究了这类系统的分散极点配置问题与分散可稳性问题。本文的结果可用于研究带前馈的奇异摄动分散系统。     

不确定广义系统的圆形区域极点配置

考虑不确定连续或离散广义系统的圆形区域极点配置问题, 目的是设计状态反 馈控制律, 使得闭环系统正则, 无脉冲(连续广义系统情形)或因果(离散广义系统情形), 且 闭环极点位于一给定的圆形区域内. 给出了所期望的状态反馈控制律存在的充分条件及其解 析表达式.     

具有直接前馈控制的奇异分散系统的反馈控制(英)

研究具有直接前馈的奇异分散系统．利用状态空间方法，我们导出了该系统通过静态输出反馈达到单通道R-可控与单通道R-可稳的条件．利用这些条件，我们研究了这类系统的分散极点配置问题与分散可稳性问题．本文的结果可用于研究带前馈的奇异摄动分散系统．     

在指定极点情况下关于零点优化问题的探讨

本文是《从逆问题指定闭环极点设计最优调节器》一文的续篇,主要思路是:先按性能要求配置主导极点,而让其余极点浮动,作为优化零点的自由度。仿真结果表明,与只考虑极点最优的调节器比较,系统性能有明显改善。     

线性不确定奇异摄动系统的稳定控制鲁棒界

对于具有不确定量的奇异摄动系统，利用Lyapunov稳定性理论研究其稳定鲁棒控制问题。在一定条件下得到了任一理想奇异摄动系统的稳定鲁棒控制，也是不确定奇异摄动系统具有一定鲁棒界的稳定控制。给出了闭环奇异摄动系统渐近稳定的条件，讨论了鲁棒界及其变化范围。     

Hinfinity fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach.

This paper considers the problem of designing an H infinity fuzzy controller with pole placement constraints for a class of nonlinear singularly perturbed systems. Based on a linear matrix inequality (LMI) approach, we develop an H infinity fuzzy controller that guarantees 1) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and 2) the closed-loop poles of each local system to be within a pre-specified LMI stability region. In order to alleviate the ill-conditioned LMIs resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation, epsilon. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard singularly perturbed non-linear systems. A numerical example is provided to illustrate the design developed in this paper.     

Fuzzy H/sub /spl infin// output feedback control design for singularly perturbed systems with pole placement constraints: an LMI approach

This paper examines the problem of designing an H/sub /spl infin// output feedback controller with pole placement constraints for singular perturbed Takagi-Sugeno (TS) fuzzy models. We propose a fuzzy H/sub /spl infin// output feedback controller that not only guarantees the /spl Lscr//sub 2/-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, but also ensures closed-loop poles of each subsystem are in a prespecified linear matrix inequality (LMI) region. In order to alleviate the numerical stiffness caused by the singular perturbation /spl epsiv/, the design technique is formulated in terms of a family of /spl epsiv/-independent linear matrix inequalities. The proposed approach can be applied both standard and nonstandard singularly perturbed nonlinear systems. A numerical example is provided to illustrate the design developed in this paper.     

Robust disturbance attenuation with stability for a class of uncertain singularly perturbed systems

In this paper, the problem of robust stability and robust disturbance attenuation is investigated for a class of singularly perturbed linear systems with norm-bounded parameter uncertainties in both state and output equations. Based on the slow and fast subsystems, a composite linear controller is designed such that both robust stability and a prescribed H infinity performance for the full-order system are achieved, irrespective of the uncertainties. Our results show that the above problem can be converted to an H infinity control problem for a related singularly perturbed linear system without parameter uncertainty. Thus, the existing results on H infinity control of singularly perturbed systems can be applied to obtain solutions to the problem of robust H infinity control for the uncertain systems, which is independent of the singular perturbation epsilon when epsilon is sufficiently small. An example is given to show the potential of the proposed technique.     

Stabilization of multiparameter singularly perturbed systems

A two-step method to stabilize linear time-invariant multi-parameter singularly perturbed systems is presented. The closed-loop system is asymptotically stable for all sufficiently small singular perturbation parameters which are assumed to lie in a prescribed set.     

奇异摄动系统的H∞控制: 基于奇异系统的方法

实际系统的奇异系统模型往往通过忽略系统的奇异摄动系统模型微分项系数矩阵中的小时间参数得到.然而, 传统的奇异系统控制器设计很少考虑微分项系数矩阵的摄动. 本文拓展了现有奇异系统输出动态反馈H_∞控制器的设计, 使得当实际闭环系统中存在小时间参数时, 仍然能保持稳定并且满足一定的H_∞性能指标. 仿真算例说明了本文提出方法的有效性.     

Linear SISO systems with extremely sensitive zero structure

If a system with regular system pencil and relative degree greater than one is perturbed, the relative degree will typically decrease, and new finite zeros will appear. These new zeros are singularly perturbed. This paper applies a new canonical parameterization to systems with singular system pencils. Such systems have undefined relative degree. In singular systems, new zeros also appear under small perturbation, but they are not necessarily singularly perturbed. Rather, these zeros may appear at any frequency     

Asymptotic H∞ control of singularly perturbedsystems with parametric uncertainties

This paper deals with the problem of control of singularly perturbed linear continuous-time systems. The authors' attention is focused on the design of a composite linear controller based on the slow and fast problems such that both stability and a prescribed H_∞ performance for the full-order system are achieved. The asymptotic behavior of the composite controller is studied, which is independent of the singular perturbation ϵ when ϵ is sufficiently small. Furthermore, the problem of robust control for the above system with parameter uncertainty is also investigated     

The infinite time near optimal decentralized regulator problem for singularly perturbed systems: a convex optimization approach

This paper presents LQ decentralized pole location for singularly perturbed systems. The poles are located in a sector included in the left-half complex plane. The singular perturbation method is used to define reduced and well-behaved problems. It is shown that the LQ control problem with pole location in a sector can be solved using the LMI tool. The associated parametrical optimization problem involves a linear cost objective under LMI constraints. The decentralized control problem is then solved in the reduced slow system by just introducing structure constraints on the matrix variables, constraints that do not destroy the linearity and then the convexity of the problem.     

离散奇异摄动系统稳定性分析

讨论了关于离散奇异摄动系统的摄动稳定性解析条件, 给出了离散奇异摄动系统两种模型下的摄动稳定性充要条件. 通过分析状态矩阵的结构特性, 得出了系统稳定所需要的状态矩阵形式和限制条件. 同时, 通过广义系统途径也得到了 2-D 离散奇异摄动 Roessor 模型稳定的充分条件.     

Constrained feedback control of imperfectly known singularly perturbed non-linear systems

Global attractors are investigated for a class of imperfectly known, singularly perturbed, dynamic control systems. The uncertain systems are modelled as non-linear perturbations to a known non-linear idealized system and are represented by two time-scale subsystems. The two subsystems, which depend on a scalar singular perturbation parameter, represent a singularly perturbed system which has the property that the system reduces to one of lower order when the singular perturbation parameter is set to zero. It is assumed that the full-order system is subject to constraints on the control inputs. A class of constrained feedback controllers is developed which assures global uniform attraction of a compact set, containing the state origin, for all values of the singular perturbation parameter less than some threshold value.