摘要:

AbstractIn this paper we show that Kharitonov's theorem will provide a necessary and sufficient condition for the stability of a particular family of polynomials where the coefficients are real and linearly dependent on a set of uncertain parameters. The main results are obtained by restricting the linear map from the parameter to the coefficient space to contain the Kharitonov polynomials. The results are applied to both continous‐time and discrete‐time polynomials and future extensions are discus

ISSN:1049-8923    

DOI:10.1002/rnc.4590010203

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

年代:1991

数据来源: WILEY

摘要:

AbstractIn this paper, we introduce and analyse robustness measures for the stability of discrete‐time systemx(t+ 1) =Ax(t) under parameter perturbations of the formA→A+BDCwhereB,Care given matrices. In particular we characterize the stability radius of the uncertain systemx(t+ 1) = (A+BDC)x(t),Dan unknown complex perturbation matrix, via an associated symplectic pencil and present an algorithm for the computation of that rad

ISSN:1049-8923    

DOI:10.1002/rnc.4590010204

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

年代:1991

数据来源: WILEY

摘要:

AbstractThe Optimal Projection equations for combined ℋ︁∞/LQG control are considered. Positive semidefiniteness of the associated Lagrange multiplier is shown to be necessary for the LQG cost bound to be minimal. It follows that all four Optimal Projection equations have a role to play, even in the full‐ord

ISSN:1049-8923    

DOI:10.1002/rnc.4590010205

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

年代:1991

数据来源: WILEY

摘要:

AbstractThis paper is concerned with the problem ofH∞estimation for linear discrete‐time systems with time‐varying norm‐bounded parameter uncertainty in both the state and output matrices. We design an estimator such that the estimation error dynamics is quadratically stable and the induced operator norm of the mapping from noise to estimation error is kept within a prescribed bound for all admissible uncertainties. A Riccati equation approach is proposed to solve the estimation problem and it is shown that the solution is related to two algebraic Riccati eq

ISSN:1049-8923    

DOI:10.1002/rnc.4590010206

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

年代:1991

数据来源: WILEY

摘要:

AbstractA redesign method for discretizing a continuous‐time controller is proposed. The resulting hybrid control system, for example with continuous‐time plant and discrete‐time controller, is stable, and performance including the system's inter‐sampling behaviour can be optimized by approximating some chosen reference transfer function of the continuous‐time control system. In order to obtain a tractable problem, the continuous‐time part of the hybrid system and the reference transfer function are approximated by a discrete‐time system with arbitrary fast sampling. After lifting the resulting periodic system, the approximation problem can be formulated as a standardH∞‐problem which is solved using standard software forH

ISSN:1049-8923    

DOI:10.1002/rnc.4590010207

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

年代:1991

数据来源: WILEY

ISSN:1049-8923    

DOI:10.1002/rnc.4590010202

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

年代:1991

数据来源: WILEY