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离散时滞系统的鲁棒无源控制 总被引:16,自引:1,他引:16
1 引言在控制系统理论中正实理论起到了很大的作用, 引起了众多学者的关注[1~5]. 对这个问题的研究主要是出于鲁棒控制和非线性控制的需要. 在实际的工业生产过程中, 时滞与不确定现象是普遍存在的且时滞的引入大大增强了控制难度. 因此研究时滞系统的鲁棒正实控制具有一定的复杂性和难度. 文献[6]引入无源性概念, 研究了线性连续时滞系统的无源控制问题,但没有考虑模型的不确定性. 尽管离散时滞系统的无源控制与连续系统具有同等重要的地位, 但据作者所知, 目前尚未见相关报道. 本文考虑了一类时变不确定离散时滞系统的鲁棒无源控制问题, 提出了可将时滞系统的无源控制问题转化为分析一类非时滞离散确定系统的正实性. 基于LMI(Linear Matrix Inequality)研究了采用静态状态反馈和动态输出反馈情形下的鲁棒无源控制问题. 相似文献
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一类不确定离散系统的严格正实分析和设计 总被引:6,自引:0,他引:6
考虑了一类不确定离散多变量系统严格正实分析和控制问题,其中不确定参数具有非负性.分析了系统鲁棒稳定且严格正实的条件,讨论了状态反馈、输出反馈使闭环系统鲁棒稳定且严格正实的问题.将不确定系统的鲁棒严格正实分析和设计转化为确定系统的严格正实分析和控制,得到了系统鲁棒稳定且严格正实的充分必要条件.最后给出了鲁棒严格正实控制问题的可解条件及控制器的综合方法. 相似文献
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研究了广义连续系统的扩展严格正实的控制问题.首先,利用与原系统等价的增广系统和矩阵分解,给出了广义系统正则,无脉冲,稳定且扩展严格正实的一个新的充分必要条件.并且此条件是便于Matlab求解的严格线性矩阵不等式形式.其次,基于此定理和线性矩阵不等式的性质,给出了保证闭环系统是正则,无脉冲,稳定且ESPR的控制器设计方法.最后通过2个数值算例说明了所提出方法的有效性和可行性. 相似文献
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一类非线性系统的自适应无源化控制 总被引:1,自引:0,他引:1
讨论了一类含未知参数的非线性系统的自适应无源化问题.通过引入切换拓宽可反馈无源化对象的范围,在控制项前面的系数是未知参数线性函数的条件下构造出自适应无源反馈规律.在该条件不满足时,基于无源性分析给出了鲁棒自适应控制器,可以保证闭环系统是全局渐近稳定的.仿真结果表明了所提出算法的有效性. 相似文献
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近年来, 微手系统作为机器人技术的一个热门研究领域, 受到了越来越多的关注. 由于微手系统是复杂且具有非线性的, 因此在实际应用当中很难达到精确跟踪的性能. 为了解决微手系统的精准控制问题, 本文讨论了微手系统的鲁棒无源跟踪控制. 首先, 运用基于演算子理论的鲁棒右互质分解方法, 建立了微手系统的动态模型. 然后, 通过结合无源补偿算子, 设计了无源鲁棒控制器, 保证了系统的鲁棒稳定性和无源性. 进而提出了基于双Bezout恒等式的鲁棒跟踪控制方案, 使整个非线性系统具有较强的鲁棒性和良好的跟踪性能. 最后, 通过仿真进一步验证了所提出方法的有效性 相似文献
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Robust dissipative control for linear systems with dissipative uncertainty and nonlinear perturbation 总被引:4,自引:0,他引:4
This paper focuses on the problem of dissipative control for linear systems which are subjected to dissipative uncertainty and matched nonlinear perturbation. Specifically, quadratic dissipative uncertainty is considered, which contains norm-bounded uncertainty, positive real uncertainty and uncertainty satisfying integral quadratic constraints (IQCs) as special cases. We develop a linear matrix inequality (LMI) approach for designing a robust nonlinear state feedback controller such that the closed-loop system is quadratic dissipative for all admissible uncertainties. Furthermore, under some condition on the dissipative uncertainty, we show that the controller also guarantees the asymptotic stability of the closed-loop system. As special cases, robust H∞ control and robust passive control problems for systems with nonlinear perturbation and norm-bounded uncertainty (respectively, generalized positive real uncertainty) are solved using the LMI approach. 相似文献
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线性时滞系统的无源控制 总被引:26,自引:3,他引:23
研究一类线性时滞系统通过线性无记忆状态反馈控制律的无源控制问题。通过某个Riccati矩阵方程对称正定解的存在性,给出了使得闭环系统严格无源的控制器存在条件。进而,利用这个方程的正定解给出了无源化控制器的一个构造方法。 相似文献
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This paper focuses on positive real control of linear time-invariant systems which are subjected to norm-bounded uncertainties in the state equation. We address the problem of designing a linear dynamic output feedback controller that robustly stabilizes the uncertain system and achieves the extended strict positive realness property for a given closed-loop transfer function. It is shown that a solution to the above problem can be obtained by solving a scaled strict positive real control problem for which no parameter uncertainty occurs. 相似文献
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线性多变量系统的鲁棒耗散控制 总被引:2,自引:0,他引:2
Robust quadratic dissipative control for a class of linear multi-variable systems with parameter uncertainties is considered, where the uncertainties are expressed in a linear fractional form. For the nominal system without uncertainties, the equivalence between quadratic dissipativeness and positive realness is established, and conditions are derived for linear systems to be quadratic dissipative. As for uncertain systems, it is shown that the robust quadratic dissipative control problem for the uncertain system can be reduced to the corresponding problem for a related system without uncertainties. The control problem concerned can be solved using LMI approach. The results of the paper unify existing results on H1 control and positive real control and provide a more flexible and less conservative control design method. 相似文献
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A strictly positive real control problem for delta operator systems in a low frequency range is presented by using the generalized Kalman–Yakubovic?–Popov lemma. The objective of the strictly positive real control problem is to design a controller such that the transfer function is strictly positive real and the resulting closed-loop system is stable. Sufficient conditions for the low frequency strictly positive real controller of the closed-loop delta operator systems are presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential for the developed techniques. 相似文献
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S.M. Tabatabaeipour R. Izadi-Zamanabadi T. Bak A.P. Ravn 《International journal of systems science》2013,44(11):1985-1997
In this article, we propose a new method for passive fault-tolerant control of discrete time piecewise affine systems. Actuator faults are considered. A reliable piecewise linear quadratic regulator state feedback is designed such that it can tolerate actuator faults. A sufficient condition for the existence of a passive fault-tolerant controller is derived and formulated as the feasibility of a set of linear matrix inequalities (LMIs). The upper bound on the performance cost can be minimised using a convex optimisation problem with LMI constraints which can be solved efficiently. The approach is illustrated on a numerical example and a two degree of freedom helicopter. 相似文献
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飞机起落架半主动控制仿真研究 总被引:1,自引:0,他引:1
该文总结了飞机起落架的三种控制方法:被动控制,主动控制,半主动控制。传统的起落架控制方法不能使飞机很快的达到稳定,为了解决这一问题,该文分析了半主动控制的优点。建立起了半主动控制起落架的数学模型和线性状态控制方程,并根据现代控制理论分析被动控制起落架系统的稳定性和可控性。采用常规状态反馈的控制方法对起落架系统进行设计,得到了半主动控制器。最后通过仿真软件分别对被动控制和半主动控制的起落架模型进行了仿真分析。仿真结果表明:被动控制起落架有较强的振荡,系统稳定时间也较长。而半主动控制起落架能够有效的降低飞机冲击载荷和振动响应,使飞机很快达到稳定。 相似文献
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Sequential LMI approach for the design of a BMI‐based robust observer state feedback controller with nonlinear uncertainties 下载免费PDF全文
This paper aims at developing a robust observer–based estimated state feedback control design method for an uncertain dynamical system that can be represented as a linear time‐invariant system connected with an integral quadratic constraint–type nonlinear uncertainty. Traditionally, in existing design methodologies, a convex semidefinite constraint is obtained at the cost of conservatism and unrealistic assumptions. This paper avoids such assumptions and formulates, the design of the robust observer state feedback controller as the feasibility problem of a bilinear matrix inequality (BMI) constraint. Unfortunately, the search for a feasible solution of a BMI constraint is an NP‐hard problem in general. The applicability of a linearization method, such as the variable change method and the congruence transformation, depends on the specific structure of the problem at hand and cannot be generalized. This paper transforms the feasibility analysis of the BMI constraint into an eigenvalue problem and applies the convex‐concave–based sequential linear matrix inequality optimization method to search for a feasible solution. Furthermore, an augmentation of the sequential linear matrix inequality algorithm to improve its numerical stability is presented. In the application part, a vehicle lateral control problem is presented to demonstrate the applicability of the proposed algorithm to a real‐world estimated state feedback control design problem and the necessity of the augmentation for numerical stability. 相似文献