共查询到20条相似文献,搜索用时 140 毫秒
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基于LMI的不确定性关联时滞大系统的分散鲁棒控制 总被引:23,自引:0,他引:23
1 引言由于系统模型中往往含有不确定性和关联时滞,因而对不确定性时滞系统鲁棒控制的研究具有理论价值和实际意义. 在实际系统中,不确定项往往具有数值界表达形式[1],这种表达形式不需要满足匹配条件,更具有一般性. 本文应用LMI方法[2,3]研究一类具有数值界,可不满足匹配条件的时变不确定性关联时滞大系统的分散鲁棒稳定化问题,得到了其可分散状态反馈镇定的充分条件,提出了该类大系统的分散鲁棒控制器的LMI(Linear Matrix Inequality)设计方法,与以前黎卡提方程方法[4~6]相比,不需预先调整多个参数,计算简单,应用方便. 相似文献
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研究不确定多通道奇异系统的鲁棒分散H_∞控制问题,假定不确定性是时不变、范数有界,且存在于系统和控制输入矩阵中.主要考虑分散H_∞输出反馈控制问题.推导出了使不确定多通道奇异系统能鲁棒稳定且满足一定的性能指标的充分必要条件,没有等式约束的非线性矩阵不等式条件,采用两步同伦法迭代来求解非线性矩阵不等式(NMI),首先,通过逐步对控制器的系数矩阵加上结构限制,计算出当确定性不存在时的标称系统的分散H_∞控制器.然后,逐步改变标称系统分散控制器的系数,计算出不确定性参数存在时的分散鲁棒控制器.在每一阶段,每一次迭代过程中,通过交替固定NMI的一个变量,使NMI转变为线性矩阵不等式(LMI).数值例子说明了本文提出的方法的有效性. 相似文献
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Peng Shi Ramesh K. Agarwal El-Kébir Boukas Shyh-Pyng Shue 《International journal of systems science》2013,44(4):409-415
This paper studies, via a linear matrix inequality approach, the problem of Hinfinity control for discrete time-delay linear systems with parametric uncertainty. The system under consideration is subjected to both time-varying norm-bounded parameter uncertainty and time delay in the state. First, the problem of robust stability of the underlying system is investigated. Next, we address the problem of robust Hinfinity state feedback control in which both robust stability and a prescribed Hinfinity performance are required to be achieved irrespective of the uncertainty and time delay. It is shown that the above problem can be solved if a linear matrix inequality has a symmetric positive definite solution. 相似文献
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针对一类范数有界非线性不确定状态时滞系统,讨论其时滞依赖鲁棒干扰抑制问题.非线性不确定性无需满足任何匹配条件,采用将非线性不确定性转换为线性不确定性的方法来完成上述设计.基于LMI技术设计的时滞依赖无记忆状态反馈控制律,可保证闭环系统的鲁棒稳定性且能优化二次型干扰抑制水平.计算机仿真算例表明了该方法的有效性. 相似文献
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Robust control of state delayed systems with polytopic type uncertainties via parameter-dependent Lyapunov functionals 总被引:2,自引:0,他引:2
This paper considers the problem of robust stability and robust stabilization for linear systems with a constant time-delay in the state and subject to real convex polytopic uncertainty. First of all, for robust stability problem, we exploit new matrix inequalities characterization of delay-dependent quadratic stability results, demonstrate that it allows the use of parameter-dependent Lyapunov functionals, and develop control design methods based on linear matrix inequalities (LMIs) for solving the robust control problem. Next, the problem of determining the maximum time-delay under which the system remains stable is cast into a generalized eigenvalue problem and thus solved by LMI techniques. Finally, illustrative examples are given to demonstrate the advantage of these new representations. 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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This paper focuses on a class of uncertain nonlinear systems which are subject to norm-bounded parameter uncertainty in the forward path and a vector-valued periodic nonlinearity in the feedback path, and addresses robust analysis and synthesis problems for such systems. Sufficient conditions for global asymptotic stability are derived in terms of linear matrix inequalities (LMIs) and a technique for the estimation of the uncertainty bound is proposed by solving a generalized eigenvalue minimization problem. The problem of robust synthesis is concerned with designing a feedback controller such that the resulting closed-loop system is globally asymptotically stable for all admissible uncertainties. It is shown that a solution to the robust synthesis problem for the uncertain system can be obtained by solving a synthesis problem for an uncertainty free system. A concrete example is presented to demonstrate the applicability and validity of the proposed approach. 相似文献
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《Automatica》1997,33(9):1657-1662
This paper deals with the problem of robust stability analysis and robust stabilization for a class of uncertain linear systems with a time-varying state delay. The uncertainty is assumed to be norm-bounded and appears in all the matrices of the state-space model. We develop delay-dependent methods for robust stability analysis and robust stabilization via linear memoryless state feedback. The proposed methods are given in terms of linear matrix inequalities. 相似文献
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不确定线性内互联大系统的分散鲁棒H∞控制 总被引:8,自引:0,他引:8
讨论含有界不确定性的线性内互联大系统,通过分散状态反馈和分散动态输出反馈的鲁棒H∞控制问题,首先给出一个重要引理,然后基于有界实引理分别导出放动态输出反馈的分散鲁棒H∞控制问题有解的充分必要条件,该条件及其问题的求解等价地转化成一个线性矩阵不等式和双线性矩阵不等式的求解。 相似文献