ISSN:1049-8923    

DOI:10.1002/rnc.4590050802

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

摘要:

AbstractThis paper presents an optimization framework for the robustness analysis of linear and nonlinear systems with real parameter uncertainty. For linear systems, a nonlinear programming formulation for the exact calculation of the stability margin is presented. The potential of decomposition‐based global optimization methods for the solution of this nonconvex problem is discussed. Next the concept of the stability margin is extended to a class of nonlinear systems. A nonlinear stability margin and a uniqueness margin are defined to address the effect of parametric uncertainty on the stability of a particular steady state, as well as on the number of steady states of the system. This analysis allows for the derivation of necessary and sufficient conditions for robust stability and robust uniqueness of the steady state of the system in the presence of parametric uncertaint

ISSN:1049-8923    

DOI:10.1002/rnc.4590050803

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

摘要:

AbstractWe provide sufficient conditions for global stabilization of planar nonlinear systems by means of static and dynamic feedback laws. The results of the paper extend previous work on the same problem. Our approach uses some ideas from a recent paper of the author based on the well‐known Artstein theorem on stabilization as well as a recent result of Coron and Pral

ISSN:1049-8923    

DOI:10.1002/rnc.4590050804

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

摘要:

AbstractWe present an Hscr;∞controller design methodology for flexible systems. We illustrate our approach using an example drawn from an industrial application. The proposed method avoids undesirable (lightly damped) pole‐zero cancellations and yields a low‐order controller, using a new formulation of the standard pr

ISSN:1049-8923    

DOI:10.1002/rnc.4590050805

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

摘要:

AbstractIn this paper we consider the problem of covering the image of a given function by a polytope. This problem arises in both the robust and quadratic stability context. We present two main algorithms: the first one performs such a covering and works under quite general assumptions on the nature of the function; the second one is iterative and allows us to improve at will the goodness of the covering. The convergence properties of this algorithm are also discussed. Finally two examples of application of our techniques are presented.

ISSN:1049-8923    

DOI:10.1002/rnc.4590050806

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

ISSN:1049-8923    

DOI:10.1002/rnc.4590050807

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

ISSN:1049-8923    

DOI:10.1002/rnc.4590050801

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY