摘要:

This bibliography provides an up-to-date collection of references pertaining to the theory of stability and control for systems with distributed parameters.

ISSN:0020-7179    

DOI:10.1080/00207176808905588

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

It is shown that a criterion for the asymptotic stability-in-the-Iarge of systems containing a single time-varying non-linearity can be stated in the form of a frequency-domain inequality involving the product of a multiplier and the transfer function of the linear part. Several sub-classes of monotone increasing non-linearities are considered and it is observed that when the non-linearity has a restricted odd asymmetry and a suitably restricted rate of time-variation, the multiplier can have complex conjugate poles and zeros. The results obtained indicate that as more conditions are imposed on the non-linear function, either (1) a higher rate of time-variation can be allowed in a given sector containing the non-linearity, or (2) for a given tolerable rate of time-variation, the permissible sector for the non-linearity can be widened.

ISSN:0020-7179    

DOI:10.1080/00207176808905589

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

Final value control of linear plants is discussed. An expression for the closed loop fundamental matrix in terms of the open loop transition matrix is presented. It is shown that for scalar minimum energy final value control the singularities in the feedback loops are inversely proportional to the order of the derivative being fed back. That is, the position loop has an ηth order singularity, the velocity loop an η—lth order singularity, etc. A partially closed loop control is developed that allows the highest-order feedback singularity to be set between η and zero. Those results are illustrated by examples.

ISSN:0020-7179    

DOI:10.1080/00207176808905590

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

The present article considers the Hamilton-Jacobi partial differential equation of some simple differential games. This equation is developed by using Caratheodory's approach to the synthesis problem of optimal control.

ISSN:0020-7179    

DOI:10.1080/00207176808905591

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

The paper describes the development, design and construction of a special purpose transformer analogue computer for mechanizing the computations involved in drawing the log-magnitude and phase angle plots of a servo system. Those plots, known as Bode plots, are extremely useful in designing compensators for control systems (Chestnut and Mayer 1959).

ISSN:0020-7179    

DOI:10.1080/00207176808905592

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

The existence of Liapunov functions of the form ‘quadratic plus integral of the non-linearity’ is found to be assured by the satisfaction of the original Popov inequality even when the non-linearity is time-varying, provided the Popov sector is appropriately modified. The Kalman construction procedure is found to also remain valid. The modified sector reduces to the usual Popov sector in the time-invariant case.

ISSN:0020-7179    

DOI:10.1080/00207176808905593

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

Second-variation methods for computing optimal control exhibit more rapid convergence than first-variation methods but at the exponse of vastly increased computing effort.

ISSN:0020-7179    

DOI:10.1080/00207176808905594

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207176808905595

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor