共查询到19条相似文献,搜索用时 156 毫秒
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不确定广义模糊系统的鲁棒模糊H∞控制器设计 总被引:2,自引:0,他引:2
研究了不确定广义模糊系统鲁棒H∞状态反馈控制器和动态输出反馈控制器设计问题。在E确定其它系数矩阵均存在不确定性情况下,给出鲁棒模糊H∞状态反馈控制器和动态输出反馈控制器存在的充分条件。鲁棒H∞状态反馈控制律的设计可能通过求解线性矩阵不等式得到,而动态输出反馈鲁棒H∞控制器可通过定义新变量得到,所求控制器使闭环系统对所有的不确定性稳定且满足H∞性能指标γ。 相似文献
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不确定系统鲁棒容错H_∞控制的LMI设计方法 总被引:2,自引:1,他引:1
针对不确定线性系统.研究了执行器失效情况下鲁棒容错H∞控制问题.基于连续增益故障模式.利用线性矩阵不等式LMI推导了系统H∞指标约束下鲁棒容错镇定的充要条件.分别给出了输出反馈和状态反馈H∞控制器的设计方法.通过引入变量代换.将求解输出反馈H∞指标约束的鲁棒容错控制器的可解条件转化为标准的LMI.所获得的控制器不仅能使故障系统鲁棒稳定,并且能达到给定的H∞性能指标.仿真实例验证了所提出设计方法的有效性. 相似文献
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针对一类具有外部扰动输入的不确定奇异周期系统,研究了该类系统的鲁棒容错H∞控制的问题,其中不确定性存在于系统的状态矩阵和输入矩阵当中,且满足范数有界条件。利用线性矩阵不等式(LMI)和李雅普诺夫不等式的分析方法提出了不确定奇异周期系统的鲁棒二次稳定和鲁棒二次可镇定且具有H∞性能指标的概念,得到了该类系统鲁棒容错H∞控制的充分和必要条件,并给出了系统状态反馈鲁棒容错H∞控制器的设计方法,所设计的H∞控制器既保证了闭环系统对故障发生时的鲁棒性,又能保证系统满足一定的H∞性能γ。研究成果是不确定奇异定常系统鲁棒容错H∞控制结论向不确定奇异周期系统的推广,因而具有较大的理论意义。最后,文章给出的数值算例证明了结论的有效性。 相似文献
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《控制工程》2014,(Z1)
针对一类具有外部扰动输入的不确定奇异周期系统,研究了该类系统的鲁棒容错H∞控制的问题,其中不确定性存在于系统的状态矩阵和输入矩阵当中,且满足范数有界条件。利用线性矩阵不等式(LMI)和李雅普诺夫不等式的分析方法提出了不确定奇异周期系统的鲁棒二次稳定和鲁棒二次可镇定且具有H∞性能指标的概念,得到了该类系统鲁棒容错H∞控制的充分和必要条件,并给出了系统状态反馈鲁棒容错H∞控制器的设计方法,所设计的H∞控制器既保证了闭环系统对故障发生时的鲁棒性,又能保证系统满足一定的H∞性能γ。研究成果是不确定奇异定常系统鲁棒容错H∞控制结论向不确定奇异周期系统的推广,因而具有较大的理论意义。最后,文章给出的数值算例证明了结论的有效性。 相似文献
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不确定时滞系统的基于Razumikhin定理的鲁棒H∞可靠控制 总被引:15,自引:0,他引:15
主要研究了一类状态时滞不确定线性系统的时滞依赖鲁棒H∞可靠控制问题.系统状
态矩阵和时滞状态矩阵中存在着范数有界的时变参数不确定性,故障执行器集合是执行器集合
的子集.采用Razumikhin定理,最终将问题归结为通过线性矩阵不等式(Linear Matrix Inequalities,LMIs)
的求解得到无记忆状态反馈鲁棒H∞可靠控制器综合设计方法. 相似文献
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一类非线性不确定系统的鲁棒H∞控制 总被引:7,自引:0,他引:7
利用Hamilton-Jacobi不等式讨论了一类含不确定项的非线性控制系统的鲁棒H∞
控制问题,分别得到了状态反馈控制器和动态输出反馈控制器,使得相应的闭环系统具有鲁
棒H∞特性的充分条件,并且给出了它们的具体设计. 相似文献
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具有滞后输入的不确定系统的鲁棒镇定 总被引:11,自引:0,他引:11
本文研究具有滞后输入的不确定系统的鲁棒镇定问题,导出了系统可以用一个无记忆状态反馈控制律鲁棒镇定的条件,据此,提出了一个鲁棒稳定化控制器的设计方法. 相似文献
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The delay-dependent robust stabilization problem for a class of uncertain linear timedelay systems containing saturating actuator is considered in this paper. The uncertain time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters and delayed state. The delay is assumed to be constant bounded but unknown. New robust stability criteria and a sufficient condition for the existence of memoryless robust stabilizing control law are derived. The results depend on the size of the delay and are given in terms of several linear matrix inequalities (LMIs). A numerical example is presented to illustrate the obtained results. 相似文献
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The problem of robust stabilization for a class of uncertain dynamical systems with multiple delayed state perturbations is considered. In this paper, it is assumed that each perturbation is bounded by a linear function of delayed state with unknown gains, and an adaptation law is proposed to estimate these unknown gains. Moreover, by making use of the updated values of these unknown bounds we propose a memoryless state feedback controller for such a class of uncertain time-delay systems. Based on Lyapunov stability theory and Lyapunov-Krasovskii functional, it is shown that the closed-loop dynamical system resulting from the proposed adaptive robust control schemes is globally stable in the sense of uniform ultimate boundedness. Finally, a numerical example is given to demonstrate the validity of the results 相似文献
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This paper introduces a state‐space model based on a fractional‐delayed state for a sampled‐data system described as a linear system under aperiodic sampling intervals. The new state‐space model exploits the information on the sampled‐data system and the fractional‐delayed state, which is defined on the sampling interval. The fractional‐delayed state and its state‐space model are utilized to construct the Lyapunov functional, which consists of the traditional Lyapunov function and a looped functional whose boundary conditions are zeros at sampling instants. Based on the Lyapunov functional, a stability criterion and a robust stability criterion are derived in terms of linear matrix inequalities. Simulation results show the effectiveness of the proposed criterion. 相似文献
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Hansheng Wu 《Automatic Control, IEEE Transactions on》2004,49(4):611-616
The problem of robust tracking and model following is considered for a class of linear systems with multiple delayed state perturbations, time-varying uncertain parameters, and disturbance. In this note, it is assumed that the upper bounds of the delayed state perturbations, uncertainties, and external disturbances, are unknown. An improved adaptation law with /spl sigma/-modification is proposed to estimate such unknown bounds, and on the basis of the updated values of these unknown bounds, a class of continuous memoryless state feedback controllers is constructed for robust tracking of dynamical signals. The proposed adaptive robust tracking controller can guarantee that the tracking error decreases asymptotically to zero in the presence of multiple delayed state perturbations, time-varying uncertain parameters, and disturbance. In addition, it is also shown that this improved adaptation law with /spl sigma/-modification can be applied to the general adaptive control problems to obtain some more exact control results. Finally, a numerical example is given to demonstrate the validity of the results. 相似文献
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This paper deals with the problems of robust stability analysis and robust control of linear discrete-time periodic systems with a delayed state and subject to polytopic-type parameter uncertainty in the state-space matrices. A robust stability criterion independent of the time-delay length as well as a delay-dependent criterion is proposed, where the former applies to the case of a constant time-delay and the latter allows for a time-varying delay lying in a given interval. The developed robust stability criteria are based on affinely uncertainty-dependent Lyapunov–Krasovskii functionals and are given in terms of linear matrix inequalities. These stability conditions are then applied to solve the problems of robust stabilization and robust H∞ control via static periodic state feedback. Numerical examples illustrate the potentials of the proposed robust stability and control methods. 相似文献