Optimal Control of Self-Adjoint Systems

Optimal Control of Self-Adjoint Systems

Given the system ẋ(t)=A(t)x(t)+u(t),where A(t)=-A'(t) and ||u(t)||≤1, it will be shown that the control u=-x(t)/||x(t)|| drives any initial state to zero in such a manner that the response time, the consumed fuel, and a linear combination of time and control energy are minnimized. The theory is...

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Veröffentlicht in:IEEE transactions on applications and industry 1964-05, Vol.83 (72), p.161-166
Hauptverfasser: Athans, Michael, Falb, P. L., Lacoss, R. T.
Format: Artikel
Sprache:eng
Schlagworte:
Automatic control
Costs
Equations
Feeds
Laboratories
Machining
Metalworking machines
Milling
Optimal control
Surface finishing
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Zusammenfassung:Given the system ẋ(t)=A(t)x(t)+u(t),where A(t)=-A'(t) and ||u(t)||≤1, it will be shown that the control u=-x(t)/||x(t)|| drives any initial state to zero in such a manner that the response time, the consumed fuel, and a linear combination of time and control energy are minnimized. The theory is applied to the optimum angular velocity cotrol of a tumbling space body.
ISSN:0536-1524
2379-6782
DOI:10.1109/TAI.1964.5407784