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This paper considers the problem of guaranteed cost control for uncertain neutral delay systems with a quadratic cost function. The system under consideration is subject to norm‐bounded time‐varying parametric uncertainty appearing in all the matrices of the state‐space model. The problem we address is the design of a state feedback controller such that the closed‐loop system is not only stable but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of guaranteed cost controllers is given in terms of a linear matrix inequality (LMI). When this condition is feasible, the desired state feedback controller gain matrices can be obtained via convex optimization. An illustrative example is provided to demonstrate the effectiveness of the proposed approach. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
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Shengyuan Xu Author Vitae Author Vitae 《Automatica》2003,39(3):509-516
This paper is concerned with the problem of robust H∞ filtering for uncertain impulsive stochastic systems under sampled measurements. The parameter uncertainties are assumed to be time-varying norm-bounded. The aim is to design a stochastically stable filter, using the locally sampled measurements, which ensures both the robust stochastic stability and a prescribed level of H∞ performance for the filtering error dynamics for all admissible uncertainties. A sufficient condition for the existence of such a filter is proposed in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. An example is provided to demonstrate the effectiveness of the proposed approach. 相似文献
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The robust H∞ control problem for discrete-time uncertain systems is investigated in this paper. The uncertain systems are modelled as
a polytopic type with linear fractional uncertainty in the vertices. A new linear matrix inequality (LMI) characterization
of the H∞ performance for discrete systems is given by introducing a matrix slack variable which decouples the matrix of a Lyapunov
function candidate and the parametric matrices of the system. This feature enables one to derive sufficient conditions for
discrete uncertain systems by using parameter-dependent Lyapunov functions with less conservativeness. Based on the result,
H∞ performance analysis and controller design are carried out. A numerical example is included to demonstrate the effectiveness
of the proposed results.
This work was partially supported by RGC Grant 7103/01P and the open project of the state key Laboratory of intelligent and
Systems, Tsinghua University (No.0406). 相似文献
26.
Robust stability and stabilization of discrete singular systems: an equivalent characterization 总被引:3,自引:0,他引:3
This note deals with the problems of robust stability and stabilization for uncertain discrete-time singular systems. The parameter uncertainties are assumed to be time-invariant and norm-bounded appearing in both the state and input matrices. A new necessary and sufficient condition for a discrete-time singular system to be regular, causal and stable is proposed in terms of a strict linear matrix inequality (LMI). Based on this, the concepts of generalized quadratic stability and generalized quadratic stabilization for uncertain discrete-time singular systems are introduced. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are obtained in terms of a strict LMI and a set of matrix inequalities, respectively. With these conditions, the problems of robust stability and robust stabilization are solved. An explicit expression of a desired state feedback controller is also given, which involves no matrix decomposition. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach. 相似文献
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文章介绍了茂金属催化剂载体的研究新进展,着重介绍了无机载体和有机载体用于茂金属催化剂负载化的研究现状。分别陈述了无机和有机载体的一些常见载体类型,例如硅胶载体和聚苯乙烯载体;并对比了无机载体和有机载体的颗粒形态,强度,表面基团等物理化学性质的差异。研究表明,载体材料本身结构及其物理化学性质对聚合活性,聚合物形态和堆积密度有着直接的作用。进一步探索载体的结构性能与聚合动力学的关系,将对对进一步提高聚合活性,改善聚合物颗粒形态具有深远的意义。 相似文献
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脆性材料的浅裂纹问题是工程界普遍关注的问题,许多文献的试验表明:脆性材料浅裂纹的断裂韧度低于深裂纹时的断裂韧度,本文通过理论分析和有限元计算,对这一问题进行了讨论。 相似文献
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This paper is concerned with the problem of robust H∞ control for uncertain stochastic systems with Markovian jump parameters and time‐varying state delays. A linear matrix inequality approach is developed and state feedback controllers are designed, which guarantee mean square asymptotic stability of the closed‐loop system and a prescribed H∞ performance level for all modes and admissible uncertainties. A numerical example is provided to demonstrate the application of the proposed method. 相似文献