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研究了状态矩阵具有不确定性的广义周期时变系统的鲁棒非脆弱控制问题.利用线性矩阵不等式(LMI)方法,分别对控制器增益具有加法式摄动和乘法式摄动两种情形加以讨论,而非脆弱控制器的设计可以通过求解一组线性矩阵不等式得到.最后,数值例子说明了所给方法的有效性. 相似文献
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针对一类在有限时间下的时滞奇异系统,考虑参数不确定性和有限外部扰动的影响,研究了其基于非脆弱状态反馈控制器的鲁棒保成本控制问题.分别对控制器增益具有加法式摄动和乘法式摄动研究了控制器的设计问题,并通过对闭环系统有限时间稳定且满足系统的成本函数具有上界的研究得到解决,控制器的设计可通过求解一组线性矩阵不等式得到,最后的数值算例说明了所给方法的有效性. 相似文献
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研究一类由任意有限多个线性子系统组成的切换系统的动态输出反馈H∞控制问题.利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换规则.采用消元法,将该矩阵不等式转化为一组线性矩阵不等式(LMIs).最后给出一个数值仿真实例证明结论的有效性. 相似文献
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本文利用线性矩阵不等式方法研究广义线性系统的静态输出反馈H∞控制器设计问题,基于线性矩阵不等式,给出静态输出反馈H∞控制器存在的充要条件,并利用线性矩阵不等式的解给出H∞控制器的设计方法。 相似文献
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一类不确定非线性系统的适应输出反馈控制 总被引:6,自引:0,他引:6
针对一类存在有界干扰的线性参数化非线性系统,给出了一种新的适应输出反馈控制器.该控制器能保证闭环控制系统所有信号的全局有界性.该文将现有的非线性适应输出反馈控制方面的结果,从无扰动情形推广到了存在有界干扰的情形.仿真结果用来说明所设计控制器的有效性. 相似文献
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线性广义时滞系统的H∞输出反馈控制器 总被引:4,自引:0,他引:4
本文首先给出了广义时滞系统稳定的一个充分条件,接着讨论了线性广义时滞系统的H∞输出反馈控制,给出了控制器存在的充分条件,同时利用线性矩阵不等式(LMI)的方法,给出控制器的设计,最后举例说明本文方法的可行性. 相似文献
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State feedback and output feedback control of a class of nonlinear systems with delayed measurements
This paper is concerned with the problem of state feedback and output feedback control of a class of nonlinear systems with delayed measurements. This class of nonlinear systems is made up of continuous-time linear systems with nonlinear perturbations. The nonlinearity is assumed to satisfy a global Lipschitz condition and the time delay is assumed to be time-varying and have no restriction on its derivative. On the basis of the Lyapunov–Krasovskii approach, sufficient conditions for the existence of the state feedback controller and the output feedback controller are derived in terms of linear matrix inequalities. Methods of calculating the controller gain matrices are also presented. Two numerical examples are given to illustrate the effectiveness of the proposed methods. 相似文献
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Xu Shengyuan; Lu Junwei; Zhou Shaosheng; Yang Chengwu 《IMA Journal of Mathematical Control and Information》2004,21(3):261-273
This paper focuses on the problem of positive real controlfor discrete time-delay systems. The problem we address is thedesign of a dynamic output feedback controller, which guaranteesthe asymptotic stability of the closed-loop system and achievesthe extended strictly positive realness of a certain closed-looptransfer function. Then, a condition for extended strictly positiverealness for discrete-delay systems is developed. Based on this,a sufficient condition for the existence of the desired controllersis proposed in terms of three linear matrix inequalities (LMIs).When these LMIs are feasible, an explicit parametrization ofthe desired output feedback controller is presented. An illustrativeexample is given to demonstrate the applicability of the proposedapproach. 相似文献
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Traditional method to design a controller for each subsystem of switched systems will increase the complexity of the controller’s realization. Hence this paper gives sufficient conditions for designing a uniform output feedback controller for linear switched systems, and this common controller can be used for all subsystems of the switched systems. Then the output stabilization problem for a particular class of linear switched systems under this uniform output feedback controller has been studied. An illustrative example is given in order to highlight the proposed method. 相似文献
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Output Feedback Guaranteed Cost Control for Uncertain Discrete-Time Systems Using Linear Matrix Inequalities 总被引:2,自引:0,他引:2
This paper considers the output feedback guaranteed cost controller design problem for uncertain discrete-time systems. The uncertainty is assumed to be of linear fractional form, unstructured, and is allowed to be time-varying. It is proved that the existence of a guaranteed cost controller is equivalent to the feasibility of a certain linear matrix inequality (LMI), and that a full-order output feedback controller can be constructed in terms of the feasible solution to the LMI. Furthermore, a convex optimization problem is introduced for the selection of a suitable controller minimizing a specified cost bound. 相似文献
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In this paper, we consider a design problem of dynamic output feedback controller for guaranteed cost stabilization of discrete-delay systems with norm-bounded time-varying parameter uncertainties. A linear-quadratic cost function is considered as a performance measure for the closed-loop system. Based on the Lyapunov second method, several stability criteria for the existence of the controller are derived in terms of linear matrix inequalities (LMIs). The solutions of the LMIs can be obtained easily using existing efficient convex optimization techniques. A numerical example is given to illustrate the proposed method. 相似文献
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Robust output feedback stabilization for two-dimensional continuous systems in roesser form 总被引:1,自引:0,他引:1
James Lam Shengyuan Xu Yun Zou Zhiping Lin K. Galkowski 《Applied Mathematics Letters》2004,17(12):81-1341
This paper considers the problem of robust stabilization via dynamic output feedbackcontrollers for uncertain two-dimensional continuous systems described by the Roesser's state space model. The parameter uncertainties are assumed to be norm-bounded appearing in all the matrices of the system model. A sufficient condition for the existence of dynamic output feedback controllers guaranteeing the asymptotic stability of the closed-loop system for all admissible uncertainties is proposed. A desired dynamic output feedback controller can be constructed by solving a set of linear matrix inequalities. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the proposed method. 相似文献
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针对一类状态不可测的模糊输入时滞系统,应用平行分布补偿算法(PDC),设计了模糊观测器,提出了基于模糊观测器的输出反馈控制方法,给出了保证模糊时滞系统渐近稳定的新的充分条件.应用广义Lyapunov函数和线性矩阵不等式方法,证明了模糊输入时滞系统的渐近稳定性,同时给出了控制和观测增益矩阵的分离设计算法.仿真结果进一步验证了所提出的方法和条件的有效性. 相似文献
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《Chaos, solitons, and fractals》2005,23(2):503-509
In this paper, the design problem of dynamic output feedback controller for asymptotic stabilization of a class of neutral systems have been considered. A criterion for the existence of such controllers is derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the controllers is given in terms of the feasible solutions to the LMIs, which can be solved by various convex optimization algorithms. A numerical example is given to illustrate the proposed design method. 相似文献
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J. H. Park 《Journal of Optimization Theory and Applications》2005,127(2):411-423
In this paper, the design problem of the dynamic output feedback controller for the asymptotic stabilization of a class of
linear delay differential systems of the neutral type is considered. A criterion for the existence of such controller is derived
based on the matrix inequality approach combined with the Lyapunov method. A parametrized characterization of the controller
is given in terms of the feasible solutions to certain matrix inequalities, which can be solved by various convex optimization
algorithms. A numerical example is given to illustrate the proposed design method.
This work was supported by Grant R05-2003-000-10173-0 from the Korea Science and Engineering Foundation.
The author is grateful to J. S. Park and C. J. Cho for valuable support. 相似文献
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The resilient dissipative dynamic output feedback control problem for a class of uncertain Markov jump Lur’e systems with piecewise homogeneous transition probabilities and time-varying delays in the discrete-time domain are examined in this study. The designed controller can tolerate additive uncertainties in the controller gain matrix, which result from controller implementations. The time-varying delays are also supposed to be mode-dependent with lower and upper bounds known a priori. By constructing a Lyapunov–Krasovskii functional candidate, the sufficient conditions regarding the existence of desired resilient dissipative controllers are obtained in terms of linear matrix inequalities, thereby ensuring that the resulting closed-loop system is stochastically stable and strictly dissipative. Two numerical examples were established to illustrate the effectiveness of the proposed theoretical results. 相似文献