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Optimum control of a linear combination of state variables for various cost functions
Başlık:
Optimum control of a linear combination of state variables for various cost functions
Yazar:
King, St. Clair A., author.
ISBN:
9780438057821
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (405 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 76-08C.
Advisors: J. Lamb.
Özet:
This study is concerned chiefly with the minimum fuel control of a linear combination of state variables of dynamical systems. As a preamble to the main work of the dissertation, minimum time control for second and third order systems with "Real Poles" were examined. An approximate solution for the ship stability problem was investigated for a minimum-time cost function by the method of truncating a power series. Also the method used for minimum fuel control has been extended to cover minimum energy problems. The specific problem is that of controlling linear, time-invariant, one input, one output systems with 'zeros' of transmission at some (possibly complex) frequencies. The available control effort is magnitude limited, and there are no disturbances. Also, in general, the arrival times for the minimum-fuel and -energy cases are also constrained. Only the problem of eliminating initial disturbances was considered. The basic mathematical tool used was Pontryagin's Maximum Principle. The results for some analytical and computer studies (both digital and hybrid studies for second and third order systems are presented to indicate the technique for finding the feedback controls. These were in general found to be time varying feedback loops. However, the results indicate that if zeros exist in the system the resulting optimum control is generally easier to find for some initial disturbances than if the system had no zeros. Also the controls give a more conservative system (with respect to the cost function) if the system contains zeros.
Notlar:
School code: 0547
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(684641.1) | 684641-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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