检索结果-内蒙古大学图书馆

Stability Feeler: a tool for parametric robust stability analysis and its applications

IET CONTROL theory AND applications 2009年第12期3卷 1625-1633页

作者： Matsuda, T. Mori, T. Toyota Technol Inst Tempaku Ku Nagoya Aichi 4688511 Japan Kyoto Inst Technol Sakyo Ku Kyoto 6068585 Japan

In this study the authors propose a new tool for robust stability analysis. This tool gives D-stability intervals along a given line in the polynomial coefficient space. D-stability means that all the zeros of characteristic polynomials are in a prescribed connected open region and therefore, besides continuous-time systems or discrete-time systems, any systems having such a pole location can be analysed by utilising this tool. The tool is referred to as 'Stability Feeler', named after a feeler of insects. It is shown that Stability Feeler can be systematically computed by using standard numerical calculations. The authors also show two applications of Stability Feeler. One is the design of robust controllers for linear uncertain systems. The other is robust absolute stability analysis of Lur'e systems. For the robust controller design, it is often necessary to analyse stability of systems with the designed controllers. However, by the support of Stability Feeler, the authors can directly obtain a class of stabilising controllers. For robust absolute stability of interval Lur'e systems, a sufficient condition has already been proposed, while Stability Feeler enables one to analyse stability of both continuous-time and discrete-time Lur'e systems with affine linear uncertainties, which are more general than interval ones. Moreover, sharpness of any robust absolute stability criteria for uncertain Lur'e systems can be assessed.

关键词： linear uncertain systems robust absolute stability analysis Lur`e systems stability Stability in control theory Control system analysis and synthesis methods polynomials linear systems continuous-time systems algebra stability feeler poles and zeros polynomial zeros continuous time systems uncertain systems parametric robust stability analysis Discrete control systems polynomial coefficient space pole location discrete-time systems discrete time systems D-stability intervals

来源：评论

学校读者我要写书评

暂无评论

Robust generalised H₂ and H_∞ static output feedback control for uncertain discrete-time fuzzy systems

引用

IET CONTROL theory AND applications 2009年第7期3卷 865-876页

作者： Zhang, J. Xia, Y. Mahmoud, M. S. Beijing Inst Technol Dept Automat Control Beijing 100081 Peoples R China King Fahd Univ Petr & Minerals Dept Syst Engn Dhahran 31261 Saudi Arabia

This study is concerned with the generalised H-2 and the H-infinity static control problems for discrete-time fuzzy systems with time-varying norm-bounded parametric uncertainties. Based on the solutions to certain linear matrix inequalities LMIs, static output feedback controllers are designed, which can ensure the asymptotic stability and the generalised H-2 and H-infinity performance level, respectively. Differenting from the existing results, the design conditions in this study are derived in terms of LMIs directly, and the local output matrices are allowed to be different. Three illustrative examples are provided to demonstrate the effectiveness and the reduced conservatism of the proposed methods.

关键词： H∞ control robust generalised H2 static output feedback control time-varying systems Time-varying control systems time-varying norm-bounded parametric uncertainty Stability in control theory control system synthesis linear matrix inequality Control system analysis and synthesis methods Fuzzy control fuzzy systems uncertain discrete-time fuzzy system robust control feedback linear algebra (numerical analysis) fuzzy control Optimal control linear matrix inequalities Discrete control systems discrete time systems asymptotic stability

来源：评论

学校读者我要写书评

暂无评论

Stability analysis of fuzzy-model-based control systems: application on regulation of switching DC-DC converter

引用

IET CONTROL theory AND applications 2009年第8期3卷 1093-1106页

作者： Lam, H. K. Tan, S. C. Kings Coll London Div Engn London WC2R 2LS England Hong Kong Polytech Univ Elect & Informat Engn Dept Kowloon Hong Kong Peoples R China

This study presents a non-linear design methodology for fuzzy controllers employed in switching DC-DC converters that operates in large-signal domain. Unlike conventional controller design approach, which addresses only the small-signal system stability, the proposed design methodology tackles the design using a non-linear control viewpoint. The proposed approach uses a Tagaki-Sugeno (T-S) fuzzy model to represent the switching converter. The Lyapunov theory is then adopted to derive the sufficient stability conditions in terms of linear matrix inequalities. These inequalities are then employed for the design of a large-signal stable fuzzy controller. Worth mentioning is that the consideration of the circuit parameter uncertainty and the mismatch of the fuzzy membership functions in the proposed approach, greatly complicate the stability analysis, which leads to a conservative result. To alleviate the conservativeness, a membership-function condition is proposed to guide the design of the membership functions of the fuzzy controller. Furthermore, free matrices can be introduced to further relax the conservativeness of stability analysis result. Simulation results on the regulation of a boost DC-DC converter subject to load and input voltage disturbances, using the proposed fuzzy controller are provided to illustrate the effectiveness of the proposed approach.

关键词： Power electronics, supply and supervisory circuits Tagaki-Sugeno fuzzy model stability Stability in control theory stability analysis Fuzzy control Nonlinear control systems Lyapunov theory switching convertors fuzzy-model-based control system nonlinear design methodology Lyapunov methods nonlinear control stable fuzzy controller linear algebra (numerical analysis) nonlinear control systems fuzzy control membership function condition linear matrix inequalities switching DC-DC converter fuzzy membership function switching converter

来源：评论

学校读者我要写书评

暂无评论

Efficient iterative method for solving the second-order Sylvester matrix equation EVF²-AVF-CV=BW

引用

IET CONTROL theory AND applications 2009年第10期3卷 1401-1408页

作者： Dehghan, M. Hajarian, M. Amir Kabir Univ Technol Dept Appl Math Fac Math & Comp Sci Tehran 15914 Iran

The second-order Sylvester matrix equation EVF2 - AVF - CV = BW (including the generalised Sylvester matrix equation, normal Sylvester matrix equation and Lyapunov matrix equation as special cases) over unknown matrix pair [V, W], has wide applications in many fields. In the present study, the authors propose an iterative method to solve the second-order Sylvester matrix equation. The proposed iterative method does not depend on the Jordan form of the matrix F. By this iterative method, the solvability of the matrix equation can be determined automatically over unknown matrix pair [V, W] not equal 0. When the matrix equation is solvable, its solution pair can be obtained within finite iterative steps, and its least Frobenius norm solution pair can be obtained by choosing suitable initial matrix pair. Furthermore, its optimal approximation solution pair to a given matrix pair can be derived by finding the least norm solution pair of a new matrix equation. A numerical example is given to show the efficiency of the proposed method.

关键词： matrix algebra Interpolation and function approximation (numerical analysis) optimal approximation solution pair finite iterative method linear algebra (numerical analysis) second-order Sylvester matrix equation unknown matrix pair least Frobenius norm approximation theory initial matrix pair iterative methods numerical approximation and analysis

来源：评论

学校读者我要写书评

暂无评论

Computing the controllability radius: a semi-definite programming approach

引用

IET CONTROL theory AND applications 2009年第6期3卷 654-660页

作者： Dumitrescu, B. Sicleru, B. C. Stefan, R. Univ Politehn Bucuresti Dept Automat Control & Comp Bucharest 060042 Romania Tampere Univ Technol Tampere Int Ctr Signal Proc FIN-33101 Tampere Finland

A semi-definite programming (SDP) approach to compute the controllability radius is proposed in this paper. The initial nonconvex optimisation problem is transformed into the minimisation of the smallest eigenvalue of a bivariate real or trigonometric polynomial with matrix coefficients. A sum-of-squares relaxation leads to the SDP formulation. A similar technique is used for the computation of the stabilisability radius. The approach is extended to the computation of the worst-case controllability radius for systems that depend polynomially on a small number of parameters. Experimental results show that the proposed methods compete well with previous ones in a complexity/accuracy trade-off.

关键词： worst-case controllability radius Optimisation techniques eigenvalues and eigenfunctions controllability stability trigonometric polynomial Stability in control theory linear algebra (numerical analysis) sum-of-square relaxation smallest bivariate real eigenvalue minimisation stabilisability radius concave programming matrix coefficient semidefinite programming nonconvex optimisation problem polynomial matrices

来源：评论

学校读者我要写书评

暂无评论

Matrices, Moments and Quadrature with applications (Princeton Series in Applied Mathematics)

引用

丛书名： Princeton Series in Applied Mathematics

2009年

作者： Gene H. Golub Gerard Meurant

ISBN: (数字)9781400833887

ISBN: (纸本)9780691143415

This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first *** addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov *** book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.

关键词： Mathematics Matrices

来源：评论

学校读者我要写书评

暂无评论

Preservation of linear Constraints in Approximation of Tensors

引用

numerical Mathematics(theory,methods and applications) 2009年第4期2卷 421-426页

作者： Eugene Tyrtyshnikov Institute of Numerical Mathematics of Russian Academy of Sciences

For an arbitrary tensor(multi-index array) with linear constraints at each direction,it is proved that the factors of any minimal canonical tensor approximation to this tensor satisfy the same linear constraints for t... 详细信息

关键词： Multi-index arrays tensors linear constraints low rank approximation canonicaltensor decomposition multilevel matrices.

来源：评论

学校读者我要写书评

暂无评论

Observer-based resilient L₂-L_∞ control for singular time-delay systems

引用

IET CONTROL theory AND applications 2009年第10期3卷 1351-1362页

作者： Li, L. Jia, Y. Beihang Univ Dept Syst & Control Beijing 100191 Peoples R China

The problem of non-fragile (or resilient) L-2-L-infinity control for a class of singular systems with time-varying delay is considered via observer-based state feedback control. The objective is to design an observer-based feedback controller with additive gain variations such that, for all admissible observer and controller gain variations, the closed-loop system is regular, impulse free and stable with a prescribed L-2-L-infinity performance index satisfied. In terms of linear matrix inequalities, a new delay-dependent stability criterion is derived. Based on the obtained criterion, the non-fragile observer and controller design method is proposed. numerical example and simulation results are included to show the effectiveness of the proposed results.

关键词： performance index feedback controller design nonfragile L2-L∞ control time-varying systems Time-varying control systems stability control system synthesis Stability in control theory Control system analysis and synthesis methods state feedback state feedback control closed loop systems algebra resilient L2-L∞ control delay-dependent stability criterion time-varying delay linear matrix inequalities observer L2-L∞ performance index closed-loop system observers additive gain variations Simulation, modelling and identification Distributed parameter control systems delay systems singular time-delay systems

来源：评论

学校读者我要写书评

暂无评论

On Superlinear PCG methods for FDM Discretizations of Convection-Diffusion Equations

On Superlinear PCG Methods for FDM Discretizations of Convec...

引用

4th International conference on numerical Analysis and applications

作者： Karatson, Janos Kurics, Tamas ELTE Univ Dept Appl Anal & Computat Math H-1117 Budapest Hungary

ISBN: (纸本)9783642004636

The numerical solution of linear convection-diffusion equations is considered. Finite difference discretization leads to an algebraic system solved by a suitable preconditioned CC method, where the preconditioning approach is based on equivalent operators. Our goal is to study the superlinear convergence of the preconditioned CC iteration and to find mesh independent behaviour on a model problem. This is an analogue of previous results where FEM discretization was used.

关键词： algebra

来源：评论

学校读者我要写书评

暂无评论

Non-solvable groups are not in FO+MOD+M - AJ2[REG]

Non-solvable groups are not in FO+MOD+M - AJ2[REG]

引用

3rd International conference on Language and Automata theory and applications, LATA 2009

作者： Behle, Christoph Krebs, Andreas Reifferscheid, Stephanie WSI - University of Tübingen Sand 13 72076 Tübingen Germany

ISBN: (纸本)9783642009815

Motivated by the open question whether TC0 = NC1 we consider the case of linear size TC0. We use the connections between circuits, logic, and algebra, in particular the characterization of TC 0 in terms of finitely typed monoids. Applying algebraic methods we show that the word problem for finite non-solvable groups cannot be described by a FO+MOD+MAJ[REG] formula using only two variables. This implies a separation result of FO[REG]-uniform linear TC0 from linear NC1. © Springer-Verlag Berlin Heidelberg 2009.

关键词： algebra

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：