共查询到18条相似文献,搜索用时 187 毫秒
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研究连续广义系统的正实控制问题。目的是设计静态输出反馈和动态输出反馈严格正实控制器使得闭环系统容许且扩展严格正实。基于广义系统严格正实引理,利用线性矩阵不等式和广义代数Riccati不等式,给出了广义系统静态输出反馈和动态输出反馈严格正实控制器存在的充要条件及设计方法。对动态输出反馈情形,给出了一个数值算例说明控制器设计方法的有效性及可行性。 相似文献
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本文主要研究了区间系统的鲁棒严格正实镇定问题。文中首先给出了系统严格正实镇定的充分条件。然后分析了该条件的可计算性并对一类区间分母系统获得了采用一阶控制器时鲁棒严格正实镇定的顶点结果,使得控制器设计大为简化。 相似文献
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鲁棒严格正实控制器设计 总被引:4,自引:1,他引:3
基于强严格正实引理使用线性矩阵不等式方法讨论了参数不确定线性系统鲁棒严格正实控制器的综合问题,提出了二次严格正实的新概念,证明了静态状态反馈解的存在性,并给出了状态反馈壮次严格正实控制器的存在条件和综合方法。 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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一类不确定性系统的鲁棒正实性分析与综合 总被引:5,自引:0,他引:5
考虑一类具有多项式型不确定性系统的鲁棒正实性分析和综合问题。这类不确定模型是区间摄动和范数有界摄动系统的自然推广。给出了一个系统具有鲁棒扩展严格正实性 (ESPR)的充分条件 ,利用该条件可估计出使系统保持 ESPR的最大参数摄动范围。在 ESPR分析的基础上 ,进一步给出了ESPR控制器的存在条件和控制器的构造方法。通过凸优化算法 ,得到了所提出方法意义下具有最大摄动界的 ESPR控制器设计方法。 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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柔性臂协调运动系统的动态反馈镇定 总被引:1,自引:1,他引:0
研究柔性臂协调运动系统分布参数模型的镇定问题.基于系统能量关系和正实引理,提出一种构造性的设计方法.所设计的控制器由前馈和动态反馈两部分构成,其中动态反馈部分的传递函数是严格正实的.通过线性算子半群理论和LaSalle不变集原理,证明了闭环系统是渐近稳定的. 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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Oscar A. Ángeles-Ramírez Guillermo Fernández-Anaya Aldo J. Muñoz-Vázquez Juan D. Sánchez-Torres Fidel Meléndez-Vázquez 《Asian journal of control》2023,25(4):2508-2520
Sufficient and necessary conditions for a distributed-order linear time invariant system to be positive real are derived in terms of linear matrix inequalities. The positive realness condition is derived for three of the most usual cases presented in literature, in the realm of distributed-order linear time invariant systems. As an additional product of this paper, the strictly positive realness condition can be derived. In addition, the concept of learnability of fractional-order multi-input multi-output systems is extended to the case of distributed-order systems, which is approached from the concept of output-dissipativity by using an iterative learning scheme. 相似文献
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This paper considers the problem of synthesising a static output feedback (SOF) subject to arbitrary information structure constraints; in particular, the plants can be non-strictly proper. In such a case, the existing methods are hardly applicable except few special cases. A general approach that significantly differs from the existing methods is proposed that is able to deal with the most general case with the feature that both finite-frequency and full-frequency H-infinity performance specifications can be addressed in a unified manner. Sufficient solvability conditions are derived in terms of a set of finite-frequency positive real and strictly positive real conditions of linear matrix inequalities (LMIs) form. Some frequency-dependent matrices are introduced into the design with the merit of making the conditions less restrictive. Several numerical examples are given that demonstrate the efficacy of the proposed approach, including applications to vehicle platooning. 相似文献
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具有时变不确定线性系统的鲁棒无源控制 总被引:18,自引:0,他引:18
研究具有时变不确定参数的线性系统在有界能量外部输入作用下的鲁棒无源控制问题.
目的是设计一个反馈控制器使得闭环系统是二次稳定,同时具有严格无源性.研究结果证明,这
一问题可以转化为一个等价的具有某个参数的线性时不变系统的正实控制问题,从而可用现有的
正实控制问题的求解方法解决所研究的问题. 相似文献
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Duksun Shim 《Automatic Control, IEEE Transactions on》1996,41(8):1190-1193
This paper focuses on a linear time-invariant system with positive real uncertainty and shows an equivalence between positive real and norm-bounded uncertainty resulting in transformation of a proper transfer function with positive real uncertainty directly to a strictly proper transfer function with norm-bounded uncertainty which is different from the result obtained by using bilinear transform. This paper also shows a secondary result, relations between the quadratic and robust stability of a system with positive real uncertainty 相似文献