摘要:

For some simple relay control systems it is shown that if the control signal input to the relay is made an appropriate linear combination of the state variables, nearly optimum performance can be achieved. The performance index used is integral -square-error; its value when the switching function is linear is calculated and compared with the value obtained when the switching function is the optimal (usually non-linear) one. E.g. for a second-order plant and a command signal which is a step of random magnitude having a rectangular probability distribution, linear switching can give a mean integral-square-error which exceeds the optimal value by less than 1%.

ISSN:0020-7179    

DOI:10.1080/00207176708921758

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

The conventions and rules for generalized block diagram representation are developed and the relationships between generalized block diagrams and network graphs discussed. The generalized block diagram as developed here should prove of value in the computer-aided study of complex systems.

ISSN:0020-7179    

DOI:10.1080/00207176708921759

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

The paper deals with a control system which has a plant consisting of two integrators with a saturable control input. With a command signal (which may be a step plus a ramp) the optimum switching curve and the optimum controller for two different performance criteria (‘Minimum integral square of error’ and ‘Minimum integral modulus of error’) are found explicitly by purely algebraic and analytic methods which start from Pontryagin's Maximum Principle and involves Taylor's series expansion of the Hamiltonian system of equations between two arbitrary successive switch points on the forward path of an arbitrary optimum trajectory. The equations of the switching curves in the phase plane obtained by this method are verified with the known results already determined by Brennan and Roberts (1962), Eggleston (1963), Fuller (1960 a) and Wonham (1963) by other methods.

ISSN:0020-7179    

DOI:10.1080/00207176708921760

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

This paper considers the problem of sensitivity of the specific optimum control law to changes in the initial conditions and duration of optimization of a linear dynamic system. Examples are included to illustrate the method.

ISSN:0020-7179    

DOI:10.1080/00207176708921761

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor