首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 171 毫秒
1.
具有结构不确定性系统的鲁棒H∞控制*   总被引:3,自引:0,他引:3  
本文研究具有结构不确定系统的鲁棒H∞状态反馈控制问题,这个问题的解涉及到一个代数Riccati方程,通过分析,这个问题的解与一个辅助的线性时不变系统的H∞状态反馈控制问题的解是等价的,把这一结果求解具有结构不确定性系统的鲁棒H∞动态输出反馈控制问题,很方便地给出只需求解两个代数Riccati方程的鲁棒H∞动态输出反馈控制问题的解。  相似文献   

2.
鲁棒输出反馈控制器设计   总被引:1,自引:0,他引:1  
研究了满足匹配条件的 不 确定线性系统鲁棒输出反馈控制器的设计问题,。首先推导了受约束Lyapunov问题的两个构造性结论,基于此,给出输出反馈控制器的设计。最后的算例表明了该方法的有效性。  相似文献   

3.
针对一类状态矩阵和控制矩阵存在参数不确定性关联大系统,研究其分散鲁棒H∞输出反馈控制问题。基于有界实引理将其鲁棒分散H∞动态输出反馈控制器的解归结为一个非线性矩阵不等式(NLMI),采用同伦迭代算法求解该控制器,使大系统鲁棒稳定,并且满足给定的H∞性能指标。  相似文献   

4.
不确定广义模糊系统的鲁棒模糊H∞控制器设计   总被引:2,自引:0,他引:2  
研究了不确定广义模糊系统鲁棒H∞状态反馈控制器和动态输出反馈控制器设计问题。在E确定其它系数矩阵均存在不确定性情况下,给出鲁棒模糊H∞状态反馈控制器和动态输出反馈控制器存在的充分条件。鲁棒H∞状态反馈控制律的设计可能通过求解线性矩阵不等式得到,而动态输出反馈鲁棒H∞控制器可通过定义新变量得到,所求控制器使闭环系统对所有的不确定性稳定且满足H∞性能指标γ。  相似文献   

5.
本文针对一类同时具有参数不确定性和外部扰动的非线性系统,讨论了其自适应鲁棒H∞输出反馈控制问题。提出的设计方法结合自适应控制和鲁棒H∞控制,基于Hamilton-Jacobi不等式得到了控制问题可解的充分条件和动态输出反馈控制器的形式。  相似文献   

6.
针对一类状态矩阵和控制矩阵存在参数不确定性关联大系统,研究其分散鲁棒H∞输出反馈控制问题.基于有界实引理将其鲁棒分散H∞动态输出反馈控制器的解归结为一个非线性矩阵不等式(NLMI),先通过选取适当的同伦函数来表示该非线性矩阵不等式,再通过Schur补引理将其化为两个双线性矩阵不等式,最后通过迭代算法求解该控制器,使闭环大系统鲁棒渐进稳定,并且满足给定的H∞性能指标.  相似文献   

7.
不确定线性系统的输出反馈鲁棒H∞控制   总被引:1,自引:0,他引:1  
毛维杰  孙优贤 《信息与控制》1997,26(3):174-179,185
研究了具有范数有界参数不确定线性系统的输出反馈鲁棒H∞控制问题,给出了该系统带H∞指标γ鲁棒稳定的充要条件,以及该系统静态输出反馈带H∞指标γ鲁棒镇定的充要条件,并且指出,系统的动态输出反馈鲁棒H∞镇定问题可等价为广义系统的静态输出反馈鲁棒H∞镇定问题,所给出的方法,其设计过程只需解一个特殊的Riccati方程最后通过实例论证了方法的有效性。  相似文献   

8.
研究具有不确定非线性离散系统的鲁棒性能准则问题,基于二人零和动态对策理论,给出并证明了系统鲁棒稳定以及扰动衰减问题解存在的充分条件,通过求解离散时间Hamilton-jacobi-Isaacs方程给出了其鲁棒H∞状态反馈控制解。  相似文献   

9.
研究一类带不确定输入动态非线性系统的输出反馈鲁棒镇定问题.通过在高增益观测器引入新的设计参数,改进了通常的高增益反馈控制的设计方法.在输入动态满足零相对阶最小相位的假设下,基于非分离设计原则给出了动态输出反馈控制器的设计方法,所设计的控制器实现了对任意可允许不确定输入动态的全局鲁棒镇定.  相似文献   

10.
研究具有不确定非线性离散系统的鲁棒性能准则问题 .基于二人零和动态对策理论 ,给出并证明了系统鲁棒稳定以及扰动衰减问题解存在的充分条件 ,通过求解离散时间Hamilton jacobi Isaacs方程给出了其鲁棒H∞ 状态反馈控制解 .  相似文献   

11.
This article presents a modified robust disturbance observer-RIC for a mechanicalpositioning system. The proposed RIC structure ensures a higher level of stability margin and offers transparent selection of the controller’s structure and feedback dynamic. The modified RIC controller design is divided into two main stages, where the first stage provides a design for the internal robust controller and the second a design for the external performance controller. The controller structure ensures a robust stability and performances property and good capability of low-frequency input and output disturbances suppression. The controller synthesis based on a pole-placement technique using optimization of the robust criteria based on even polynomials, and positive conditions. The solution to the problem is based on a multi-criterion optimization algorithm with a fixed order controller structure.  相似文献   

12.
This note derives a linear quadratic regulator which is robust to real parametric uncertainty, by using the overbounding method of Petersen and Hollot (1986). The resulting controller is determined from the solution of a single modified Riccati equation. This controller has the same guaranteed robustness properties as standard linear quadratic designs for known systems. It is proven that when applied to a structural system, the controller achieves its robustness by minimizing the potential energy of uncertain stiffness elements, and minimizing the rate of dissipation of energy by the uncertain damping elements  相似文献   

13.
提出了一种具有阶次限制的鲁棒控制器设计方法, 该算法将控制系统的性能指标转化为灵敏度函数问题, 并利用Nevanlinna-Pick插值算法进行求解. 提出了一种改进的同伦算法, 将其用于求解由灵敏度函数产生的非线性方程. 基于改进同伦算法设计的鲁棒控制器 不仅避免了传统H∞控制中加权函数的选择问题, 而且克服了鲁棒控制器阶次较高的缺陷. 最后,文章以4阶系统为例, 设计了具有阶次限制的H∞鲁棒控制器, 通过与传统鲁棒控制器的比较可以看出, 基于本文方法设计的控制器不仅具有较低的阶次, 而且其控制性能也具有明显的优越性.  相似文献   

14.
The problem of synthesis of l1 optimal robust controller for SISO plant under coprime factor perturbations and bounded external disturbance is considered. A geometric interpretation of l1 optimal robust controller, standard l1 optimal controller, and two other optimal robust controllers is presented. The existence of l1 optimal robust linear controller is proved and an algorithm for approximate solution of the problem is proposed. The algorithm is reduced to approximate solution of finite family of standard l1 optimization problems  相似文献   

15.
This paper treats the problem of synthesizing antiwindup compensators that are able to handle plant uncertainty in addition to controller saturation. The uncertainty considered is of the frequency-weighted additive type, often encountered in linear robust control theory, and representative of a wide variety of uncertainty encountered in practice. The main results show how existing linear matrix inequality based antiwindup synthesis algorithms can be modified to produce compensators that accommodate uncertainty better. Embedded within these results is the ever-present performance - robustness tradeoff. A remarkable feature is that the often criticized internal model control antiwindup solution emerges as an ldquooptimally robustrdquo solution. A simple example demonstrates the effectiveness of the modified algorithms.  相似文献   

16.
A robust speed controller for an induction motor drive that achieves quantitative control and considers the effects of nonlinearities is presented in this paper. First, a two-degree-of-freedom controller (2DOFC) is designed according to the estimated model for the nominal case and given speed specifications. Then, the control characteristics and limitations of the conventional robust controller are investigated. Accordingly, a modified robust speed controller based on disturbance cancellation is developed, wherein tuning of disturbance cancellation is performed via a variable structure system (VSS) controller. The estimated model mismatched error and its derivative are used as the driven inputs of the VSS controller. Greater robustness and flexibility in achieving a compromise between control effort and control performance can be achieved using the proposed controller. The effectiveness of the proposed controller is demonstrated by simulation and measured results.  相似文献   

17.
This paper presents a robust state feedback formulation for high order repetitive controllers (HORC) able to track references and/or reject disturbances with uncertain period. We propose a modified structure of the HORC with low‐pass filter in series with the delay element, allowing us to work in the state‐space framework. The filter cut‐off frequency effects and the controller sensitiveness to harmonic and intermediary components are analyzed. A methodology based on the solution of an optimization problem subject to linear matrix inequality constraints is presented for robust synthesis of feedback gains. The advantages regarding the proposed control scheme are discussed with a simulated example of a DC motor driving an eccentric mass.  相似文献   

18.
球形对象族的最优鲁棒镇定   总被引:1,自引:0,他引:1  
吕斌  伍清河  徐粒 《控制理论与应用》2010,27(11):1497-1503
本文对球形对象族系统最优鲁棒镇定问题进行了研究.利用最小范数解方法求解球形对象族的可镇定性半径.可镇定性半径是系统稳定性半径的上界,最优控制器的稳定性半径等于镇定性半径.文中给出球形对象族最优鲁棒控制器的形式,并通过示例具体说明球形对象族最优鲁棒控制器的设计方法.  相似文献   

19.
不确定离散时间系统鲁棒稳定控制   总被引:1,自引:0,他引:1  
杨保民  孙翔 《自动化学报》1995,21(5):597-603
根据Lyapunov稳定性定理,针对不确定离散时间系统鲁棒稳定状态反馈控制问题,提出 一种方法,即通过不确定矩阵秩1分解,计算加权矩阵,沿用线性最优调节器问题的Riccati代 数方程,设计鲁棒稳定调节器,并讨论了控制矩阵的不确定程度与鲁棒稳定调节器的存在性关 系问题.  相似文献   

20.
带有分母因式摄动不确定系统的鲁棒镇定   总被引:1,自引:1,他引:0  
王恩平 《自动化学报》1999,25(3):289-294
讨论了带有分母因式不确定性摄动系统的鲁棒镇定问题,给出了控制器K鲁棒镇 定摄动系统G△的充分必要条件,当标称系统G=M-lN∈RL∞时,借助于求解次优Nehari问 题,以状态空间形式给出了摄动系统的鲁棒控制器的参数化公式.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号