NDLI: Some aspects of control tolerances and first-order sensitibity in optimal control systems

Content Provider	IEEE Xplore Digital Library
Author	Belanger, P.
Copyright Year	1963
Abstract	This paper considers the effects of small control function variations of bounded magnitude. Two types of variations are considered: one, called "continual," is infinitesimally small over the control interval; the other, called "intermittent," is a pulse-type variation. If the control task is to take the system from an initial state to some target set, it is shown that, no matter how "tight" the control tolerances, there is always in general some control within tolerances which will cause the target to be missed. An exception to this rule is the case where the target is of dimensionality one less than that of the state-time space. Target sets not falling in this latter class are used in design as idealizations of actual target sets (e.g. a point is used instead of a small sphere). If a nominal control is found which takes the state to the ideal target, tolerances on this control are found such that the actual target will always be reached. If the nominal control is optimal with respect to the ideal set, giving some nominal cost, it is shown how one can find the possible cost variations resulting from the use of controls wthin the tolerance limits.
Sponsorship	IEEE Control Systems Society
Starting Page	77
Ending Page	83
Page Count	7
File Size	581536
File Format	PDF
ISSN	00189286
Volume Number	11
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1966-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optimal control Control systems Automatic control Open loop systems Cost function Electrical equipment industry Bang-bang control Programmable control Adaptive control Systems engineering and theory
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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