摘要:

A method for determining the exact mode of oscillation of a time-invariant feedback system containing relays is presented. This method is based on tho state space approach in the real time domain, and results in a set of transcendental algebraic equations which can easily be solved by digital computation. General state transition and control matrices for plants withnpoles andmzeros are derived. For complicated plant characteristics, the switching equations can be obtained easily by simple superposition of the switching equations of ‘elementary plants’. The general expression is given in discrete form, and may be reduced to a continuous form when no impulse control is present, otherwise a combined form is used. Switching equations for elementary plants up to third order are listed for reference, and illustrative examples are given with results compared by analogue simulation.

ISSN:0020-7179    

DOI:10.1080/00207176608921414

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

Distributed systems such as chemical reactors, absorption columns and other similar apparatus used in the chemical industry have time-varying behaviour approximately describable by hyperbolic partial differential equations. Questions of optimum start-up and control therefore find mathematical expression as variational problems in two independent variables with those differential equations as aide conditions. Such problems have interesting mathematical features when the integral to be extremized is taken round a closed curve in the plane of the independent variables, and this curve includes finite straight segments parallel to the characteristics of the differential equations.

ISSN:0020-7179    

DOI:10.1080/00207176608921415

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

A method of employing a new transform technique in the design of discrete-time, time-varying, linear feedback systems is presented. The chief advantage of this design method is that it allows much of the insight already developed for time-invariant linear systems to be carried over to time-varying linear systems. The design method presented complements the one previously presented by Naylor and Waltz (1966).

ISSN:0020-7179    

DOI:10.1080/00207176608921416

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

Given a piece-wise single valued non-linear multivariable plant a design procedure is suggested to meet the desired specifications for step inputs. The system is first designed as a linear system satisfying the design specifications and its performance as a non-linear system is checked. The method may involve trial and error. An example is worked out Illustrating the procedure. Analogue computer results are also included.

ISSN:0020-7179    

DOI:10.1080/00207176608921417

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

The non-linear generalization of an optimal control problem of Butkovskii and Sakawa is considered, in which a system satisfying a diffusion-like non-linear partial differential equation is controlled by regulating conditions in the medium in contact with the system at one of its spatial boundaries. A necessary condition in the form of a minimum principle is developed, and a algorithm for steep descent calculation is obtained. A numerical example for a special case is included.

ISSN:0020-7179    

DOI:10.1080/00207176608921418

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

Previous work on the sensitivity of optimal linear control systemsẋ = Ax + Buwith quadratic performance index has concentrated on the effects of small changes in parameters. It is shown in this paper that the optimal feedback lawu = − Dxis insensitive to (i.e. is unaltered by) a wide variety of persistent changes inAandB. Some explicit expressions for these variations inAandBare presented, including the cases whenBis fixed, and when the change inAis known. IfAis fixed any change inBresults in a change inD, so that the system is more sensitive to changes inBthan inA.

ISSN:0020-7179    

DOI:10.1080/00207176608921419

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

A new approach to finding all possible responses of a linear third-order control system subjected to step input commands is suggested in the present paper. Two terms sign pattern and sign code of the state variables of the system dynamics are introduced. A simple method of control by signal processing for lightly damped third-order systems is discussed and the method is illustrated by an example.

ISSN:0020-7179    

DOI:10.1080/00207176608921420

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor