摘要:

In order to identify a linear system with a discrete non-parametric model a class of algorithms which is closely related to the Kalman filter is considered. With an input signal of appropriate statistics these algorithms are easy to calculate and are characterized by a speed of convergence which is comparable to that of a Kalman filter given an imperfect,a prioriknowledge of the error covariance matrix.

ISSN:0020-7179    

DOI:10.1080/00207177308932456

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

Large interconnected power systems demand complex computational schemes requiring excessive time and cost for the dynamic performance analyses. A method for simplifying such large systems described by linear differential equations, using Schwarz canonical form, is presented. This method docs not require the computation of eigenvalues and eigenvectors of the system matrix as in the case of other methods (Davison 1966, Chidambara and Davison 1967, Kuppurajulu and Elangovan 1971). A linearized power system model of order 7 is considered for this type of simplification and the response of the original and the reduced fourth-order system is compared. The results are also compared with the method of state variable grouping discussed by Kuppurajulu nnd Elangovan (1971).

ISSN:0020-7179    

DOI:10.1080/00207177308932457

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

It is reasonable to expect that the ‘ Popov criterion ’ for the stability of systems containing an arbitrary, finite number of non-linear feedback elements can be improved when the hypothetical transfer function considered in the ‘ Popov criterion ’ is assumed to satisfy meaningful requirements. This paper shows that when certain auxiliary conditions are met, the stability criterion of the multivariable control system containing many nonlinear feedback elements reduces to the original Popov criterion for single loop systems.

ISSN:0020-7179    

DOI:10.1080/00207177308932458

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

A non-linear system with time averaging can be regarded as one composed of a time varying system with a variable parameter. A non-linear operation, such as squaring is performed on the signal of the system and followed by low pass filtering. This filtered signal controls, in turn, the variable parameter. This paper considers the steady state analysis of time averaged non-linear systems. The analysis covers both passive (with input) and oscillatory (no input) systems, In the passive case it is shown that the response is similar to that of a passive system with the poles shifted. The harmonic content and distortion are computed for both the oscillatory and passive case. An evaluation of the frequency is carried out for the oscillatory case. An interesting result is that the significant filter characteristic is the attenuation at twice the frequency.

ISSN:0020-7179    

DOI:10.1080/00207177308932459

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

In this paper, the Euler-Lagrange conditions for the extremization of a performance functional for a discrete time linear system with delay fire derived and this is then used for the estimation of states for the same system. The estimation problem is represented as a Two Point Boundary Value (TPBV) problem which is then solved numerically by using the steepest descent technique.

ISSN:0020-7179    

DOI:10.1080/00207177308932460

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

A new algorithm is developed for the combined estimation and feedback control of linear, discrete, dynamical systems having bounded input and measurement noise disturbances. The algorithm evaluates the conditional-mean state estimate by a Bayes-law computation in which density functions are approximated by moments. The resulting non-linear estimator is combined with a Riccati controller to complete the approximately optimal feedback control law. Numerical results for a scalar application are presented, and an indication of the sensitivity to information on the noise bounds is provided.

ISSN:0020-7179    

DOI:10.1080/00207177308932461

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177308932462

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

A penalty function method is applied to the determination of optimal controls for systems described by partial difference equations. The use of this penalty function method known as the ϵ-technique allows us to incorporate the dynamical constraints of the distributed parameter system into a new objective function. The conditions for the solution which minimizes the new objective function and the interrelationships between this solution and the solution which minimizes the original objective function are given. These interrelationships also suggest computational schemes for the synthesis of optimal controls for linear and non-linear distributed systems.

ISSN:0020-7179    

DOI:10.1080/00207177308932463

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

Non-Zero-sum differential games where measurements of the state vector are possible only at discrete instants of time during the course of play are considered, and necessary conditions for the existence of a pair of sampled-data Nash controls are obtained. These conditions are different from those corresponding to the open-loop or closed-loop solutions. Linear quadratic games are then treated and a simple illustrative example which reduces to a pursuit-evasion game is presented.

ISSN:0020-7179    

DOI:10.1080/00207177308932464

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

It is shown in this paper that pseudorandom signals are separable. The property of invariance of correlation under single-valued non-linear transformation is then used to obtain the cross-correlation function of several non-linearities when they are subjected to pseudorandom signals.

ISSN:0020-7179    

DOI:10.1080/00207177308932465

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor