摘要:

Before the advent of non-linear control theory, the methods employed to invert and decouple linear time-varying systems were generalizations of those used for linear time-invariant models. This paper demonstrates that the non-linear theory gives simple and concise expressions for relative order and differential orders when a linear time-varying system is transformed to a linear analytic system.

ISSN:0020-7179    

DOI:10.1080/00207179008953577

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor

摘要:

This paper concerns the convergence of a class of rational approximations for delay systems of the form exp (— sT) M(s), where M(s) is a strictly proper rational transfer matrix. The rationale for reducing the order of G(s) is to replace exp (— sT) in G(s) by the class of all-pass/low-pass Pade approximations. The L2and Lmconvergence in the frequency domain are established under mild conditions on M(s) (and hence impulse response in the L2case). For scalar M(s), the convergence is achieved at an optimal rate. Error bounds for the approximants are obtained which provide a priori estimates for the errors.

ISSN:0020-7179    

DOI:10.1080/00207179008953578

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor

摘要:

This note shows that the Lyapunov function constructed for the example multimachine power system by Saekiet al. (1985) is in error. The derivative of the Lyapunov function along the trajectories is not negative-semidefinite. This problem raises questions as to whether the hypotheses of Saekiet al.(1985 Theorem 1) can be satisfied in a multimachine power system with transfer conductances.

ISSN:0020-7179    

DOI:10.1080/00207179008953579

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor

摘要:

The derivation by Hippe (1989) of a frequency-domain Riccati equation for a reduced-order Kalman filter was somewhat lengthy. It is shown that this derivation can be considerably streamlined by simple arguments.

ISSN:0020-7179    

DOI:10.1080/00207179008953580

出版商:Taylor & Francis Group    

年代:1990

数据来源: Taylor