摘要:

AbstractThe LTR design problem using an ℋ︁∞ optimality criterion is presented for two types of recovery errors, the sensitivity recovery error and the input‐output recovery error. For both errors two different approaches are presented. First, following the classical LTR design philosophy, a Luenberger observer based approach is proposed, where the ℋ︁∞ part of the controller is appended to a standard full‐order observer. Second, allowing for general controllers, an ℋ︁∞ state‐space problem is formulated directly from the recovery errors. Both approaches lead to controller orders of at most 2n. In the minimum phase case, though, the order of the controllers can be reduced tonin all cases. The control problems corresponding to the various controller types are given as four different singular ℋ︁∞ state‐space problems, and the solutions are given in terms of the rele

ISSN:1049-8923    

DOI:10.1002/rnc.4590030102

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

年代:1993

数据来源: WILEY

摘要:

AbstractThe quantitative feedback theory is an engineering design technique of uncertain feedback systems having robust stability and robust performance specifications. The crux of the quantitative feedback theory is a transformation of robust stability and robust performance specifications into domains in the complex plane, referred to as bounds, where a nominal loop transmission should lie within. To date, a quantitative feedback theory design is being carried out using manual (i.e. graphical) procedures or search algorithms. This paper shows that there exists a formal map from the uncertain plant and each closed‐loop specification to these bounds. In particular, it is shown that each map has a closed form consisting of a quadratic inequality. These maps greatly simplify the computational aspects of the quantitative feedback theory in design of single‐loop feedback systems. Based on this new development, a simple‐to‐implement, efficient computer algorithm is o

ISSN:1049-8923    

DOI:10.1002/rnc.4590030103

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

年代:1993

数据来源: WILEY

摘要:

AbstractWe give necessary and sufficient conditions on the stability region for the validity of a weak version of Kharitonov's theorem, stating that stability of an ‘interval family’ of complex polynomials is implied by stability of the corner polynomials. Furthermore, we define a class of stability regions which do not satisfy the conditions, but for which the implication still holds in the case of real polynomi

ISSN:1049-8923    

DOI:10.1002/rnc.4590030104

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

年代:1993

数据来源: WILEY

摘要:

AbstractThis paper investigates the robustness of time‐varying linear systems under a large class of complex time‐varying perturbations. Previous results8which were restricted to bounded linear perturbations of output feedback type are generalized to unbounded and nonlinear perturbations of multi‐output feedback type. We establish a lower bound for the stability radius of these systems and show how it may be possible to improve the bound using time‐varying scalar transformations of the state, input and output variables. The results are applied to derive Gershgorin type stability criteria for time‐varying linea

ISSN:1049-8923    

DOI:10.1002/rnc.4590030105

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

年代:1993

数据来源: WILEY

ISSN:1049-8923    

DOI:10.1002/rnc.4590030101

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

年代:1993

数据来源: WILEY