共查询到18条相似文献,搜索用时 113 毫秒
1.
WU Zheng-Guang ZHOU Wu-Neng 《自动化学报》2007,33(7):714-718
This paper considers the problem of delay-dependent robust stabilization for uncertain singular delay systems. In terms of linear matrix inequality (LMI) approach, a delay-dependent stability criterion is given to ensure that the nominal system is regular, impulse free, and stable. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. An explicit expression for the desired controller is also given. Some numerical examples are provided to illustrate the validity of the proposed methods. 相似文献
2.
This paper deals with the delay-dependent stabilization problem for singular systems with Markovian jump parameters and time delays. A delay-dependent condition is established for the considered system to be regular, impulse free and stochastically stable. Based on the condition, a design algorithm of the desired state feedback controller which guarantees the resultant closed-loop system to be regular, impulse free and stochastically stable is proposed in terms of a set of strict linear matrix inequalities (LMIs). Numerical examples show the effectiveness of the proposed methods. 相似文献
3.
This paper considers the problem of delay-dependent robust stability for uncertain singular systems with additive time-varying delays. The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties. The results are expressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method. 相似文献
4.
Jian-Min Jiao 《国际自动化与计算杂志》2013,10(1):39-45
The problem of stability for singular systems with two additive time-varying delay components is investigated. By constructing a simple type of Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms, a delay-dependent stability criterion is established for the considered systems to be regular, impulse free, and stable in terms of linear matrix inequalities (LMIs). Based on this criterion, some new stability conditions for singular systems with a single delay in a range and regular systems with two additive time-varying delay components are proposed. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, two numerical examples are employed to illustrate the effectiveness of the obtained theoretical results. 相似文献
5.
6.
This paper investigates the problem of delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays in terms of linear matrix inequality (LMI) approach. Based on a delay-dependent stability condition for the nominal system, a state feedback controller is designed, which guarantees the resultant closed- loop system to be robustly stable. An explicit expression for the desired controller is also given by solving a set of matrix inequalities. Some numerical examples are provided to illustrate the less conservativeness of the proposed methods. 相似文献
7.
An LMI approach to robust H-infinity control for uncertain singular time-delay systems 总被引:1,自引:1,他引:1
The problem of robust H-infinity control for a class of uncertain singular time-delay systems is studied in this paper. A new approach is proposed to describe the relationship between slow and fast subsystems of singular time- delay systems, based on which, a sufficient condition is presented for a singular time-delay system to be regular, impulse free and stable with an H-infinity performance. The robust H-infinity control problem is solved and an explicit expression of the desired state-feedback control law is also given. The obtained results are formulated in terms of strict linear matrix inequalities (LMIs) involving no decomposition of system matrices. A numerical example is given to show the effectiveness of the proposed method. 相似文献
8.
Jian-Min Jiao 《国际自动化与计算杂志》2012,9(1):8-15
The robust stability and robust stabilization problems for discrete singular systems with interval time-varying delay and linear fractional uncertainty are discussed. A new delay-dependent criterion is established for the nominal discrete singular delay systems to be regular, causal and stable by employing the linear matrix inequality (LMI) approach. It is shown that the newly proposed criterion can provide less conservative results than some existing ones. Then, with this criterion, the problems of robust stability and robust stabilization for uncertain discrete singular delay systems are solved, and the delay-dependent LMI conditions are obtained. Finally, numerical examples are given to illustrate the e?ectiveness of the proposed approach. 相似文献
9.
In this paper, delay-dependent robust stabilization and H∞ control for uncertain stochastic Takagi-Sugeno (T-S) fuzzy systems with discrete interval and distributed time-varying delays are discussed. The purpose of the robust stochastic stabilization problem is to design a memoryless state feedback controller such that the closed-loop system is mean-square asymptotically stable for all admissible uncertainties. In the robust H∞ control problem, in addition to the mean-square asymptotic stability requirement, a prescribed H∞ performance is required to be achieved. Sufficient conditions for the solvability of these problems are proposed in terms of a set of linear matrix inequalities (LMIs) and solving these LMIs, a desired controller can be obtained. Finally, two numerical examples are given to illustrate the effectiveness and less conservativeness of our results over the existing ones. 相似文献
10.
11.
12.
13.
14.
15.
16.
不确定广义时滞依赖鲁棒H∞控制 总被引:8,自引:0,他引:8
This paper discusses the problem of delay-dependent robust Ha control for uncertain singular systems with state delay. Based on linear matrix inequality (LMI) approach, we design a state feedback controller, which guarantees that, for all admissible uncertainties, the resultant closed-loop system is regular, impulse free, and stable with an H<,∞> norm bound constraint. All the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices. Numerical examples show that the proposed methods are less conservative than existing ones. 相似文献
17.
18.
讨论不确定广义时滞系统的时滞依赖鲁棒H∞控制问题. 基于线性矩阵不等式(LMI)方法, 设计状态反馈控制器使得对所有允许的不确定性, 所得的闭环系统均是正则、无脉冲、稳定且满足H∞范数有界约束. 所有的结论都是时滞依赖的且由不涉及系统矩阵分解的严格LMI表示. 数值例子表明所给的方法与已有的结论相比具有较小的保守性. 相似文献