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针对控制器增益具有模有界扰动的情况,研究广义大系统非脆弱分散H∞控制问题.基于广义系统的有界实引理和线性矩阵不等式(LMI)方法,分别给出了广义大系统非脆弱分散H∞控制器和非脆弱分散H∞保性能控制器存在的充分条件和设计方法.最后通过仿真算例表明了所提出方法的有效性. 相似文献
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This paper is concerned with the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model with norm-bounded uncertainties. Our attention is focused on the design of non-fragile state feedback controllers such that the resulting closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible parameter uncertainties and controller gain variations. A sufficient condition for the existence of such controllers is established under the linear matrix inequality framework. Moreover, a convex optimisation problem is proposed to select a non-fragile robust optimal guaranteed cost controller stabilising the 2-D discrete state-delayed system as well as achieving the least guaranteed cost for the resulting closed-loop system. The proposed method is compared with the previously reported criterion. Finally, illustrative examples are given to show the potential of the proposed technique. 相似文献
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Ju H. Park 《International journal of systems science》2013,44(4):233-241
In this paper, the robust non-fragile guaranteed cost-control problem is studied for a class of uncertain linear large-scale systems with time-delays in subsystem interconnections and given quadratic cost functions. The uncertainty in the system is assumed to be norm-bounded and time-varying. Also, the state-feedback gains for subsystems of the large-scale system are assumed to have norm-bounded controller gain variations. The problem is to design a state feedback control law such that the closed-loop system is asymptotically stable, and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the robust non-fragile guaranteed cost controllers is given in terms of the feasible solutions to a certain LMI. A numerical example is given to illustrate the proposed method. 相似文献
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具有结构不确定性的时滞系统的最优非脆弱保性能控制 总被引:5,自引:2,他引:3
对一类具有结构不确定性的线性时滞系统的最优非脆弱保性能控制问题进行了研究.以线性矩阵不等式的形式给出了设计非脆弱保性能控制律的一个充分条件.然后给出了在使性能指标上界最小的意义下,最优非脆弱保性能控制律的设计算法.最后用例子演示了方法的有效性. 相似文献
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The problem of non-fragile guaranteed cost control of uncertain systems is studied from a new point of view of reliability against uncertainties. An efficient robust reliability method for the analysis and design of non-fragile guaranteed cost controller of parametric uncertain systems is presented systematically. By the method, a robust reliability measure of an uncertain control system satisfying required robust performance can be obtained, and the robustness bounds of uncertain parameters such that the control cost of a system is guaranteed can be provided. The optimal non-fragile guaranteed cost controller obtained in the paper may possess optimal guaranteed cost performance satisfying the precondition that the system is robustly reliable with respect to uncertainties occurring in both the controlled plant and controller gain. The presented formulations are in the framework of linear matrix inequality and thus can be carried out conveniently. The presented method provides an essential basis for the tradeoff between reliability and control cost in controller design of uncertain systems. Two numerical examples are provided to demonstrate the efficiency and feasibility of the presented method. It is shown that the coordination and simultaneous realization of the system performance, control cost, and robust reliability in control design of uncertain systems are significant. 相似文献
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研究了一类具有状态时滞的不确定非线性系统的非脆弱保成本控制问题。通过利用Lyapunov稳定性理论和线性矩阵不等式方法,设计非脆弱保成本控制律,使得闭环系统渐近稳定,并且系统的性能指标不超过某个确定的上界。通过求解一个具有线性矩阵不等式约束的凸优化问题来设计最优非脆弱保成本控制器,以使得闭环不确定系统的性能指标最小化。仿真结果验证了该控制算法的有效性。 相似文献
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不确定多时滞系统非脆弱鲁棒保代价控制 总被引:1,自引:0,他引:1
针对一类含有多时滞的不确定线性系统,在控制器增益存在乘性和加性两种摄动形式时分别设计了非脆弱具有鲁棒性能的保代价控制器.利用构造的Lyapunov函数和线性矩阵不等式,证明并给出了非脆弱鲁棒保代价状态反馈控制问题有解的充分条件,仅通过求解相应的线性矩阵不等式就可得到非脆弱鲁棒保代价控制器.所设计的控制器不仅使闭环系统具有鲁棒性,能满足所给的的鲁棒保代价性能指标,而且当控制器增益参数变化时,系统性能指标同样能够满足要求.该系统对环境参数的变化具有更好的适应能力。 相似文献
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This paper deals with a design problem of robust non-fragile stabilizing controllers for a class of uncertain linear continuous-time systems. The proposed design approach of robust non-fragile controllers is based on computation of the trajectory for the uncertain linear system and differs from the existing methods based on quadratic stabilization via Lyapunov criterion. In this paper, we show that sufficient conditions for asymptotical stability of the linear system with uncertainties and controller gain variations, and a LMI-based design algorithm of a robust non-fragile controller. Furthermore, we extend the result to the design problem of decentralized robust non-fragile controllers for a class of uncertain large-scale interconnected systems. Finally, the effectiveness of the proposed design scheme of robust non-fragile controllers is shown through illustrative examples. 相似文献
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研究了一类具有分布时滞的线性不确定系统的鲁棒非脆弱保性能控制问题.考虑分布时滞系统和状态反馈控制器均具有时变不确定性,通过构造新的含三重积分项的Lyapunov-Krasovskii泛函,并结合不等式推导技巧,以线性矩阵不等式形式给出了系统鲁棒非脆弱保性能控制器存在的充分条件.该方法保证了给定的二次性能函数不超过一个确定的界并且是分布时滞相关的.仿真实例表明了该方法的可行性和有效性. 相似文献
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针对一类线性系统,根据已有的保性能状态反馈控制器的存在条件,设计完成状态反馈控制器.针对由状态反馈控制器构成的闭环系统,分析执行器各通道增益误差与保性能指标之间的关系.考虑执行器的增益误差模型,提出执行器增益误差的容忍区间,容忍因子和硬件冗余度的概念.进而,利用线性矩阵不等式(LMI)的优化理论,给出确定容忍区间、容忍... 相似文献
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针对可变机翼后掠角近空间飞行器存在严重非线性、强耦合等特性, 在考虑控制器存在摄动的情况下, 设计了可以平滑切换的多模型软切换保性能非脆弱控制方案. 首先利用可测前提变量将系统的工作空间划分为多个子空间, 然后在每一个子空间中根据给定的性能指标设计局部模糊鲁棒保性能非脆弱控制器. 由于采用了广义系统的设计方法, 有效地减少了求解的计算量和复杂度. 系统的全局控制器由各局部控制器进行模糊加权得到, 从而实现了软切换. 对变机翼后掠角近空间飞行器的仿真实验表明了所提方法是有效的. 相似文献
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Minglai Chen 《International journal of systems science》2013,44(9):1614-1627
This paper concerns the problems of non-fragile guaranteed cost control (GCC) for nonlinear systems with or without parameter uncertainties. The Takagi–Sugeno (T–S) fuzzy hyperbolic model is employed to represent the nonlinear system. The non-fragile controller is designed by parallel distributed compensation (PDC) method, and some sufficient conditions are formulated via linear matrix inequalities (LMIs) such that the system is asymptotically stable and the cost function satisfies an upper bound in the presence of the additive controller perturbations. The above approach is also extended to the non-fragile GCC of T–S fuzzy hyperbolic system with parameter uncertainties, and the robust non-fragile GCC scheme is obtained. The main advantage of the non-fragile GCC based on the T–S fuzzy hyperbolic model is that it can achieve small control amplitude via ‘soft’ constraint approach. Finally, a numerical example and the Van de Vusse example are given to illustrate the effectiveness and feasibility of the proposed approach. 相似文献
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This paper concerns the non-fragile guaranteed cost control for nonlinear first-order hyperbolic partial differential equations (PDEs), and the case of hyperbolic PDE systems with parameter uncertainties is also addressed. A Takagi–Sugeno (T–S) fuzzy hyperbolic PDE model is presented to exactly represent the nonlinear hyperbolic PDE system. Then, the state-feedback non-fragile controller distributed in space is designed by the parallel distributed compensation (PDC) method, and some sufficient conditions are derived in terms of spatial differential linear matrix inequalities (SDLMIs) such that the T–S fuzzy hyperbolic PDE system is asymptotically stable and the cost function keeps an upper bound. Moreover, for the nonlinear hyperbolic PDE system with parameter uncertainties, using the above-design approach, the robust non-fragile guaranteed cost control scheme is obtained. Furthermore, the finite-difference method is employed to solve the SDLMIs. Finally, a nonlinear hyperbolic PDE system is presented to illustrate the effectiveness and advantage of the developed design methodology. 相似文献