摘要:

AbstractThe paper presents a polynomial solution to the standardH∞‐optimal control problem. Based on two polynomialJ‐spectral factorization problems, a parameterization of all suboptimal compensators is obtained. A bound on the McMillan degree of suboptimal compensators is derived and an algorithm is formulated that may be used to solve polynomialJ‐spectral factorization p

ISSN:1049-8923    

DOI:10.1002/rnc.4590040302

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

年代:1994

数据来源: WILEY

摘要:

AbstractWe provide an alternative solution to the problem of semi‐global stabilization of a class of minimum phase nonlinear systems which is considered in Reference 17. Our method yields a stabilizinglinearstate feedback law in contrast to anonlinearstate feedback law proposed in Reference 17. We eliminate the peaking phenomenon by inducing a specific time‐scale structure in the linear part of the closed‐loop system. This time‐scale structure consists of a very slow and a very fast time scale. The crucial component in our method is the relation between the slow and the fast time scales. Our proposed linear state feedback control law has asingletunable gain parameter that allows for local asymptotic stability and regulation to the origin for any initial condition in somea priorigiven (arbitrarily large) boun

ISSN:1049-8923    

DOI:10.1002/rnc.4590040303

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

年代:1994

数据来源: WILEY

摘要:

AbstractA method is presented for the construction of fixed‐order compensators to provideH∞norm constraint for linear control systems with exogenous disturbances. The method is based on the celebrated bounded‐real lemma that predicates theH∞norm constraint via a Riccati inequality. The synthesis of fixed‐order controllers whose dimensions are less than the order of a given plant, is demonstrated by a set of sufficient conditions along with a numerical

ISSN:1049-8923    

DOI:10.1002/rnc.4590040304

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

年代:1994

数据来源: WILEY

摘要:

AbstractCircular arithmetic technique is developed for constructing value set of a characteristic polynomial. It provides necessary and sufficient conditions for robust stability of disk polynomials and their simple combinations. In more complicated cases sufficient conditions can be obtained. Various examples including multilinear (real or complex) parameter perturbations are considered.

ISSN:1049-8923    

DOI:10.1002/rnc.4590040305

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

年代:1994

数据来源: WILEY

摘要:

AbstractA necessary and sufficient condition to test the robustness of a regulator of uncertain linear systems with constrained control is given. The candidate regulator for this test is that stabilizing nominal systems. An illustrative example is also given.

ISSN:1049-8923    

DOI:10.1002/rnc.4590040306

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

年代:1994

数据来源: WILEY

摘要:

AbstractAn unstable zero‐dynamics is a known obstruction to inducing exact asymptotic tracking for an open set of output trajectories with internal stability. This paper proposes a procedure for achieving approximate tracking for a nonlinear system whose linearization possesses real right‐half plane zeros. The method is guaranteed to remove the right‐half plane zeros while the other zeros remain in their previous location; moreover, it provides information on the class of signals for which good approximate tracking can be obtained. With other methods, the right‐half plane zeros are eliminated but the final location of the remaining zeros is not knowna priori.The design procedure is illustrated on a trajectory control problem of an aircraft in rapid manoeuvres. Simulations illustrate the computations involved and show that precise lateral and longitudinal manoeuvres can be performed, even in the presence of uncert

ISSN:1049-8923    

DOI:10.1002/rnc.4590040307

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

年代:1994

数据来源: WILEY

ISSN:1049-8923    

DOI:10.1002/rnc.4590040308

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

年代:1994

数据来源: WILEY

ISSN:1049-8923    

DOI:10.1002/rnc.4590040301

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

年代:1994

数据来源: WILEY