ISSN:0020-7179    

DOI:10.1080/00207177308932579

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

This paper presents a computational method for the solution of a class of optimal control problems with a free final time. The method is based on the combination of the modified quasilinearization and the gradient method. A numerical example is included for illustration.

ISSN:0020-7179    

DOI:10.1080/00207177308932580

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

A new approach is used to examine the stability of feedback systems comprising a time-varying linear subsystem and a time-varying non-linearity. The paper examines three stability aspects of the systems dynamic response: boundedness, unboundedness, and asymptotic decay. In addition to qualitative criteria, the results provide explicit quantitative bounds on the system response. The distinct time-domain method of analysis presented stipulates rather weak a priori restrictions on the nature of the linear and non-linear parts of the system, thus admitting a relatively broad class of systems. In the general time-varying non-linear feedback system considered, the non-linearity may exhibit hysteresis, and the linear subsystem may be non-causal, and may comprise any number of feed-forward differentiators of any order. The criteria obtained are given a simple graphical interpretation. A transformation which trades time-varying gains between plant and non-linearity is introduced. A number of examples demonstrate that the present results can predict stability information not obtainable from other existing criteria. In one example of a system with stationary plant, the present criteria prove superior to the Circle Theorem.

ISSN:0020-7179    

DOI:10.1080/00207177308932581

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

In pole assignment for multi-input systems the constant gain feedback control to achieve desired closed-loop poles is not unique. Neither is the feedback control for single-input systems of which not all poles are assigned. It is proposed to use this design freedom to minimize a given performance function, thus combining the pole placement and optimal control design techniques, From a different point of view, the method augments the pole placement technique by a method of implicit optimal zero placement. The numerical technique for solving the single-input case is detailed in this paper.

ISSN:0020-7179    

DOI:10.1080/00207177308932582

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177308932583

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177308932584

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177308932585

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177308932586

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor