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基于二维混合模型的改进型重复控制系统保性能设计方法 总被引:1,自引:0,他引:1
针对一类具有参数不确定性的线性系统, 基于连续/离散二维混合模型进行改进型重复控制系统的保性能设计. 首先给出一种具有反馈作用的改进型重复控制系统结构, 通过独立地考虑重复控制系统的连续控制行为与离散学习行为, 建立重复控制系统的连续/离散二维混合模型, 并将重复控制的设计问题转化为一类连续/离散二维系统的状态反馈控制问题. 然后, 应用二维Lyapunov泛函导出保性能改进型重复控制器存在的充分条件, 进而证明该条件等价于一个线性矩阵不等式可解性问题. 最后通过求解对应的凸优化问题, 给出了最优保性能控制器的具体形式. 数值仿真验证了所提出方法的有效性. 相似文献
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基于二维混合模型的重复控制系统稳定性分析与控制器设计 总被引:2,自引:0,他引:2
针对一类线性不确定系统, 提出一种基于连续/离散二维混合模型的重复控制系统设计新方法. 首先建立重复控制系统的连续/离散二维混合模型, 将重复控制器设计问题转化为一类连续/离散二维系统的稳定性问题; 然后应用二维连续/离散系统方法, 给出了重复控制系统新的稳定性条件. 进一步, 利用线性矩阵不等式方法, 获得了重复控制系统稳定边界和重复控制器参数的计算方法. 与现有方法不同的是, 本文以二维混合模型来描述重复控制系统, 更加符合其本质特征, 实现了对重复控制过程中两种不同行为的独立调节. 最后, 数值仿真实例验证了本文所提方法的有效性. 相似文献
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基于二维混合模型的重复控制系统设计新方法 总被引:3,自引:0,他引:3
现有重复控制方法是在一维空间上同时处理控制与学习过程, 这不利于重复控制系统的分析与设计. 本文针对一类线性不确定系统, 提出一种基于连续/离散二维混合模型的重复控制系统设计方法. 首先, 通过分析重复控制系统中独立存在的控制行为与学习行为, 建立重复控制系统的连续/离散二维混合模型, 将重复控制器设计问题转化为一类连续/离散二维系统的状态反馈控制问题; 然后应用二维连续/离散系统方法, 获得重复控制系统的稳定性条件, 根据稳定性条件并利用线性矩阵不等式(Linear matrix inequality, LMI)方法, 求得重复控制器参数. 与现有方法相比, 所提出的重复控制设计方法更加符合其本质特征, 具有简单实用、直观明了的特点, 克服了现有重复控制方法所存在的局限性. 最后, 数值仿真实例验证了本文所提方法的有效性. 相似文献
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基于二维混合模型和状态观测器的重复控制设计 总被引:1,自引:0,他引:1
针对一类正则线性系统, 提出一种基于状态观测器和二维混合模型的重复控制系统设计方法. 首先, 通过构造一个状态观测器来重构系统的状态, 建立基于重构状态的线性控制律. 然后, 通过独立地考虑重复控制系统的连续控制过程与离散学习行为, 给出基于状态观测器和重构状态反馈的连续/离散二维混合模型. 针对这个混合模型, 运用二维Lyapunov泛函方法, 以线性矩阵不等式(Linear matrix inequality, LMI)的形式给出重复控制系统存在重复控制器和状态观测器的充分条件, 所给条件可用Matlab工具箱方便地求解. 数值仿真验证了本文所提方法的有效性. 相似文献
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不确定离散切换系统具有极点约束的保性能控制 总被引:1,自引:0,他引:1
对一类含有范数有界不确定性的离散切换系统和一个二次型性能指标,研究其具有闭环极点约束的鲁棒状态反馈保性能控制问题.利用二次Lyapunov函数方法和线性矩阵不等式技术,给出了鲁棒保性能控制器存在的一个充分条件,在所构造切换规则下,闭环系统二次D稳定,且满足给定的性能指标.在此基础上,将次优保性能控制器设计问题转化为一组线性矩阵不等式约束下的凸优化问题.数值例子说明了所提方法的有效性. 相似文献
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In this paper, we consider disturbance decoupling problems for switched linear systems. We will provide necessary and sufficient conditions for three different versions of disturbance decoupling, which differ based on which signals are considered to be the disturbance. In the first version, the exogenous input is considered as the disturbance, in the second, the switching signal and in the third both of them are considered as disturbances. All three versions of disturbance decoupling have direct counterparts for linear parameter-varying (LPV) systems, while the latter instance of the problem is relevant for disturbance decoupling of piecewise linear systems, as we will show. The solutions of the three disturbance decoupling problems will be based on geometric control theory for switched linear systems and will entail both mode-dependent and mode-independent static state feedback. 相似文献
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S. Bohacek E. A. Jonckheere 《Mathematics of Control, Signals, and Systems (MCSS)》2003,16(2-3):207-224
The connection between linear dynamically varying (LDV) systems and jump linear (JL) systems is explored. LDV systems have been used to model the error in nonlinear tracking problems. Some nonlinear systems, for example Axiom A systems, admit Markov partitions and their dynamics can be quantized as Markov chains. In this case the tracking error can be approximated by a JL system. It is shown that (i) JL controllers for arbitrarily fine partitions exist if and only if the LDV controller exists; (ii) the JL controller stabilizes the nonlinear dynamical system; (iii) JL controllers provide approximations of the LDV controller. Finally, it is shown that this process is robust against such errors in the probability structure as the inaccurate assumption that an easily constructed partition is Markov.
Date received: August 20, 2001. Date revised: June 5, 2003. This research was supported by National Science Foundation Grant ECS-98-02594. 相似文献
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针对一类具有时变时延以及Lipschitz非线性项的网络化线性参数变化系统,研究了系统中存在外部扰动、执行器和传感器同时发生随机故障时的容错控制问题。用Bernoulli分布序列描述执行器和传感器发生的随机故障,利用自由权矩阵方法处理时变时延。根据Lyapunov-Krasovskii稳定性定理和线性矩阵不等式(LMI)方法求出◢H◣▼∞▽容错控制器存在的充分条件,然后通过利用近似基函数和网格化技术将无限维的LMI求解问题转换为有限维的LMI问题,得到了相应的容错控制器增益。最后,通过数值仿真验证了所设计方法的有效性。 相似文献
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A penalty function method is applied to the determination of optimal controls for systems described by partial difference equations. The use of this penalty function method known as the ?-technique allows us to incorporate the dynamical constraints of the distributed parameter system into a new objective function. The conditions for the solution which minimizes the new objective function and the interrelationships between this solution and the solution which minimizes the original objective function are given. These interrelationships also suggest computational schemes for the synthesis of optimal controls for linear and non-linear distributed systems. 相似文献
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This paper investigates the problem of quantized filtering for a class of discrete‐time linear parameter‐varying systems with Markovian switching under data missing. The measured output of the plant is quantized by a logarithmic mode‐independent quantizer. The data missing phenomenon is modeled by a stochastic variable. The purpose of the problem addressed is to design a full‐order filter such that the filtering error dynamics is stochastically stable and the prescribed noise attenuation level in the sense can be achieved. Sufficient conditions are derived for the existence of such filters in terms of parameterized linear matrix inequalities. Then the corresponding filter synthesis problem is transformed into a convex optimization problem that can be efficiently solved by using standard software packages. A simulation example is utilized to demonstrate the usefulness of the developed theoretical results. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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一类线性时滞系统的鲁棒稳定性分析 总被引:2,自引:0,他引:2
针对一类具有范数有界不确定性和2个继发时变时滞的线性时滞不确定系统,研究了其时滞依赖鲁棒稳定性问题.通过定义充分利用时变时滞上下界信息的新型Lyapunov-Krasovskii泛函,并结合时滞系统相关处理方法和线性矩阵不等式方法,得到了时滞线性不确定系统鲁棒渐近稳定所满足的条件.为了降低结论的保守性,对某些项进行了较紧致的估计.此外,并未引入自由权矩阵.最后并通过2个数值仿真证实了方法的有效性和优越性. 相似文献
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不确定多状态滞后系统时滞相关鲁棒稳定与镇定 总被引:4,自引:0,他引:4
针对具有范数有界参数不稳定性的多态性滞后系统,本文提出了与系统时滞相关的鲁棒稳定性判据,并给出了一种无记忆的时滞相关的鲁棒稳定控制率的设计方法,本文的结果与系统的时滞大小有关,并采用LMI描述。 相似文献
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不确定广义时滞依赖鲁棒H∞控制 总被引:8,自引:0,他引:8
This paper discusses the problem of delay-dependent robust Ha control for uncertain singular systems with state delay. Based on linear matrix inequality (LMI) approach, we design a state feedback controller, which guarantees that, for all admissible uncertainties, the resultant closed-loop system is regular, impulse free, and stable with an H<,∞> norm bound constraint. All the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices. Numerical examples show that the proposed methods are less conservative than existing ones. 相似文献
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ZHOU Wu-Neng~ 《自动化学报》2005,(3)
A necessary and sufficient condition of the quadratic D-stability for a class of uncertain linear systems is presented in terms of linear matrix inequality (LMI) technology.Finally,the validity and less conservatism of the obtained results in this paper are illustrated by a benchmark example. 相似文献
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In this paper,the robust H∞ control problem for uncertain discrete-time systems with time-varying state delay is considered.Based on the Lyapunov functional method,and by resorting to the new technique for estimating the upper bound of the difference of the Lyapunov functional,a new less conservative sufficient condition for the existence of a robust H∞ controller is obtained.Moreover,the cone complementary linearisation procedure is employed to solve the nonconvex feasibility problem.Finally,several numerical examples are presented to show the effectiveness and less conservativeness of the proposed method. 相似文献